Introduction: How Heim Constructs Terms

Anyone who reads Burkhard Heim soon notices that his language is not accidental. Many of his central terms are not borrowed everyday words, but deliberately formed technical coinages or carefully chosen older terminologies. Heim does not simply name his objects according to ordinary usage. Rather, he tries to condense into the word itself something of their formal function, their place within the system, and their conceptual origin. For that reason, a Heim glossary must be more than a mere list of words: it must also make visible how these words are built. This applies both to the early physical terminology and to the later syntrometric language. A glance at the titles and chapter headings already shows how systematically Heim works with self-constructed families of terms: selector, fundamental condensor, world tensorium, syntrix, synkolator, metroplex, televariant aeonic area, and many others are not mere labels, but condensed theoretical elements.

A twofold tendency is especially noticeable here. On the one hand, Heim prefers words that are not simply taken from a living everyday language and therefore are not already occupied by ordinary meanings. On the other hand, wherever it serves his purpose, he very consciously draws on older philosophical and Greek strata of terminology, that is, on words whose meaning has already been sharpened through a long history of conceptual use. This can be seen especially clearly in terms such as Apeiron, Aeon, Chronon, Metron, or entelechial dimension. Heim does not adopt such expressions as learned ornament. He uses them because they carry a layered meaning with them: for Heim, Apeiron designates the domain outside the temporally closed interval of definition of physical spacetime, Aeon the world-time or interval of definition of spacetime, Chronon the indivisible unit of time, and the entelechial dimension stands in explicit relation to mundal entelechy. This already shows that Heim charges his terminology not only technically, but also conceptually and historically.

A particularly revealing example is the title of his late major work: Syntrometrische Maximentelezentrik. This title is not an external label, but a compressed programmatic name. The first part, Syntrometry, can plausibly be read as a word formation from Greek building blocks: syn- in the sense of “together,” “with,” or “in relation”; trop- / trope / tropos in the sense of turn, direction, mode, or structural orientation; and -metry or metron in the sense of measure, mensuration, and formal determinacy. Read in this editorial way, the term means something like a formal doctrine of measure and order for structurally interconnected modes or turns. This fits Heim’s own characterization of the term. He states explicitly that the development of a syntrometry requires finding an analytical schema by means of which formal operations become possible in arbitrary logical systems. Later he explicitly stresses that syntrometric investigations are not bound to any particular aspect-system and derive their universality from the fact that their predicate-connections are universal quantors. In this case, the architecture of the word and its systematic function genuinely belong together.

The second part of the title, Maximentelezentrik, is even more revealing. Its internal segmentation is not philologically unambiguous in every junction, but that is precisely what makes Heim’s method visible. One thing is certain from the start: it belongs to a real family of terms within the work itself. Throughout the Syntrometrische Maximentelezentrik one encounters expressions such as tele-centre, secondary tele-centres, pseudo-tele-centralities, and televariant structures. This means that the component tele-centric / tele-central is not a loose association, but a systematic term within the work. At the same time, the middle element -entele- strongly suggests proximity to the Aristotelian family of telos and entelechy, which also appears elsewhere in Heim, for example in entelechial dimension and mundal entelechy. The opening element Maxim-, finally, carries the sense of highest degree, maximum, or utmost centrality. As an editorial overall reading, the title therefore condenses something like a doctrine of maximal entelechial-teleological centralizations, or of a highest telecentric structural order. What matters here is that such a word analysis is not free speculation, but a controlled interpretation grounded in Heim’s actual family of terms.

For precisely that reason, this glossary should do more than an ordinary reference work. It should not only state what a term means in Heim, but whenever possible also show how Heim constructs it. In some cases the architecture of the word is almost immediately transparent, as with selector as a rule of selection, metron as the smallest geometrical unit, polymetry as the interrelation of several fundamental selectors within a compositional field, or world tensorium as the totality of world-points in a metronically structured six-dimensional space. In other cases, especially in Syntrometry, the conceptual architecture is denser and more heavily charged by philosophical history. There it is particularly important to make visible, alongside the definition, the inner composition of the word itself. Only in this way does it become clear that Heim constructs his theory not only mathematically, but already linguistically as a structurally articulated whole.

This glossary therefore follows a double principle. On the one hand, it remains as close as possible to Heim’s own definitions and to the attested uses in his main works. On the other hand, it supplements those definitions, where necessary, with a second layer: term architecture. By this is meant the question of which linguistic components a Heimian term is composed of, which philosophical or formal tradition resonates within it, and what overall sense arises from that composition. In Burkhard Heim, this second layer is not a secondary matter. Anyone who overlooks it reads many of his terms only externally; anyone who includes it begins to see that Heim often encodes, already in the very name of a concept, its place within his system.

This glossary is arranged thematically rather than alphabetically. The reason lies in the structure of Heim’s work itself: his terms rarely stand in isolation, but belong to dense conceptual constellations in which geometry, physics, operatorics, particle structure, and metalogic interpenetrate. A purely alphabetical arrangement would easily conceal these inner relations. The thematic framework is therefore intended not to separate, but to provide orientation within a coherent theoretical system.
If you are looking for a specific term, you can use your browser’s search function, for example Ctrl+F on Windows or Cmd+F on Mac.

The thematic grouping below is provided only for orientation. In Heim’s work these domains interpenetrate and do not form separate sub-disciplines.

Kategorie 0 – Basic terms for a start

1. World

The basic concept of the whole system. In Heim, the world is not simply the observable universe, but the full six-dimensional whole within which physical spacetime forms only one subspace.

2. Spacetime and transcoordinates

Spacetime is not the whole in Heim, but the manifest four-dimensional domain within a larger world-structure. Hidden transcoordinates are added to it, through which the world extends beyond ordinary physical space.

3. World metron

The world metron is the geometrical ultimate unit of the world as a two-dimensional area difference. Without this concept, one cannot understand Heim’s critique of the point continuum or the discrete constitution of his world-geometry.

4. World tensorium

The world tensorium is the world in its tensorial and metronic form. It is here that one sees how world-points are described formally while the underlying constitution of the world remains metronic rather than point-like.

5. Hermetry

A hermetry is a non-Euclidean structured subspace whose semantics has been interpreted according to physical principles. With this concept Heim joins geometry and physical meaning on a deeper level than ordinary field theory.

6. Selector

The selector is Heim’s fundamental operative concept. It is a rule of selection or generation by which number-sequences, fields, and structural relations are formally determined. Without selectors, Heim is unreadable both geometrically and physically.

7. Polymetry

Polymetry is the interrelation of several fundamental selectors into a common compositional field. It matters because Heim builds his more complex structures not from isolated objects, but from ordered multiple relations.

8. World selector

The world selector is the principle by which certain structures are identified as world-structures at all. This is one of the most central ideas in the whole theory: not every formal structure is already world.

9. Synmetronics

Synmetronics is Heim’s structural particle theory in the narrower sense. Here particles are not treated as little bodies, but as complex structured formations built from deeper synmetronic units.

10. Protosimplex

The protosimplex is the simplest synmetronic structure built from prototropes. Heim explicitly emphasizes it as the true structural ultimate unit on the particle level.

11. Hyper-space $R_{12}$R12​

Hyper-space is the extended background-domain alongside the material world $R_6$R6​. It is essential because Heim uses it to extend his theory toward life, psyche, and mind.

12. Physis – Bios – Psyche – Pneuma

This fourfold articulation is Heim’s later ordering of the experiential and trans-physical domains of the world. It shows that he did not understand his work as mere particle physics, but as a broader world-model.

13. Syntrometry

Syntrometry is Heim’s attempt at a more general formal method extending beyond individual logical systems. Anyone who reads Heim only as a mass formula misses precisely this final and most comprehensive layer of his work.

1. World Structure, Dimensions, and Coordinates

Introduction

This domain gathers the basic terms by which Heim sets up the elementary framework of his world-description. At its center stands the world as a six-dimensional structure with three real and three imaginary coordinates. From this follow the notions of world dimensions, world coordinates, transcoordinates, world points, world lines, and the distinction between manifest and latent events. In addition, Heim assigns explicit roles to the two hidden directions as aeonic and entelechial dimensions.

A crucial editorial clarification is needed here. Heim still uses the formal language of points, lines, and coordinates, yet the world tensorium explicitly possesses a discontinuous metronic substructure. The geometrical ultimate unit of the world is not the mathematical point, but the world metron as an elementary area difference. Terms such as world point or world line must therefore be read primarily as formal-coordinate terms, not as claims that reality is fundamentally built from a freely divisible point continuum.

Terms

World (Welt)

Original definition in Heim: The totality of all points of a six-dimensional space of which spacetime is a four-dimensional subspace. Alongside the three real, permutable coordinates of physical space, the world is spanned by three additional non-permutable imaginary coordinates.
Explanation: In Heim, the world is the full six-dimensional whole within which physical spacetime forms only one subspace. This formulation must not be misread as a commitment to a freely divisible point continuum, since the same world possesses a discontinuous metronic substructure in the world tensorium.
Word architecture: World functions here as a technical total-concept for the complete structural whole.
Related terms: spacetime, world dimensions, world coordinates, world point, world tensorium.

Spacetime (Raumzeit)

Editorial short definition: The four-dimensional subspace of the world in which manifest physical events occur.
Explanation: Heim does not identify spacetime with the whole world. It is only the manifest four-dimensional section within a larger six-dimensional structure. Events may lie within spacetime as manifest or outside it as latent.
Related terms: world, manifest event, latent event, aeon, transcoordinates.

World dimensions (Weltdimensionen)

Original definition in Heim: The mutually independent dimensions of physical spacetime and the transdimensions normal to spacetime.
Explanation: Heim extends ordinary spacetime by hidden dimensions. Only together do spacetime and transdimensions yield the full world-structure.
Related terms: world coordinates, transcoordinates, aeonic dimension, entelechial dimension.

World coordinates (Weltkoordinaten)

Original definition in Heim: Real and imaginary numerical coordinate stocks corresponding to the world dimensions, with a common zero-point, mutually independent, and capable of vectorial orientation. The choice of the respective world coordinates is arbitrary.
Explanation: World coordinates are the coordinates of the entire six-dimensional world, not merely of spacetime. They formally specify a world-location without eliminating the metronic substructure of the world itself.
Word architecture: World + coordinates = coordinates of the full world-structure.
Related terms: world dimensions, world point, world line, transcoordinates.

Transcoordinates (Transkoordinaten)

Original definition in Heim: Two additional world dimensions as hidden coordinates normal to physical spacetime.
Explanation: Heim uses transcoordinates for the two hidden directions beyond physical spacetime. They are not merely extra spatial axes, but structurally distinct coordinate domains.
Word architecture: trans- marks a crossing beyond manifest spacetime.
Related terms: world dimensions, aeonic dimension, entelechial dimension, spacetime.

Semantic architectural unit (Architektureinheit, semantisch)

Original definition in Heim: Subspaces of the world differing in meaning and not interchangeable.
Explanation: Heim treats the subspaces of the world not only formally, but semantically. The coordinate domains do not all serve the same structural role and therefore cannot simply be exchanged.
Related terms: hermetric world architecture, world dimensions, physical space, transcoordinates.

Hermetric world architecture (Weltarchitektur, hermetrisch)

Original definition in Heim: The semantic architectural units, namely physical space and the three imaginary coordinates, can be grouped into three possible units of a world architecture with respect to possible hermetry-forms. These are the real dimensions of physical space, the imaginary light-time, and the two imaginary transcoordinates.
Explanation: This term names the internally articulated arrangement of the world coordinates. Heim does not treat the world as a homogeneous sixfold of axes, but as an architecturally structured whole of different coordinate groupings.
Related terms: semantic architectural unit, world dimensions, transcoordinates, hermetry.

World point (Weltpunkt)

Original definition in Heim: Any location in the world tensorium fixed by the six world coordinates. These world points can be interpreted as events of latent or manifest type.
Explanation: The world point is first of all a formal-coordinate term for an event-location determined by six coordinates. It should therefore not be mistaken for an ontological building block of a point continuum; the world instead has a metronic substructure.
Related terms: world coordinates, world tensorium, manifest event, latent event, world line.

Manifest event (Ereignis, manifest)

Original definition in Heim: A world point within the subspace of spacetime.
Explanation: An event is manifest when it lies within spacetime and thus belongs to the domain of physical appearance.
Related terms: world point, spacetime, latent event, world structure.

Latent event (Ereignis, latent)

Original definition in Heim: A world point outside the spacetime subspace of the world.
Explanation: Latent events lie outside manifest spacetime. They still belong to the world-structure and are therefore not mere non-being, but non-manifest event-locations within the six-dimensional world.
Related terms: world point, spacetime, manifest event, world structure.

World line (Weltlinie)

Original definition in Heim: A one-dimensional manifold of world points.
Explanation: The world line, too, is primarily a formal-coordinate concept. It means an ordered sequence of world points in Heim’s world-description, not necessarily a physically real line of a point continuum.
Related terms: world point, world velocity, world coordinates.

World velocity (Weltgeschwindigkeit)

Original definition in Heim: The vectorial differential of a world line with respect to physical time. Its real part is a relative velocity in real space, while its imaginary part conditions the integral cosmic motion of physical space.
Explanation: Heim combines ordinary motion in physical space with a deeper motion-structure in the imaginary world-directions. The world-concept thus remains fully six-dimensional.
Related terms: world line, cosmic motion, world coordinates.

Cosmic motion (Kosmische Bewegung)

Original definition in Heim: Integral motion of physical space in the imaginary world coordinates.
Explanation: In Heim, cosmic motion is not merely the motion of bodies through space, but a motion of physical space itself relative to the imaginary directions of the world.
Related terms: world velocity, world coordinates, aeon, spacetime.

World structure (Weltstruktur)

Original definition in Heim: Any event-structure of the world designated by the world selector, whether latent outside spacetime or projectable in manifest form into spacetime.
Explanation: The term world structure gathers event-formation at the level of the world as a whole. It links latent structure beyond spacetime with manifest physical appearance within spacetime.
Related terms: world, world point, manifest event, latent event, world selector.

Aeon (Äon)

Original definition in Heim: World-time, enduring duration, spacetime.
Explanation: The aeon denotes the temporal interval of definition of the manifest world. It means more than neutral chronological time; it names the coherent world-time within which physical spacetime exists.
Word architecture: From Greek aiōn: lifetime, age, world-time.
Related terms: aeonic dimension, spacetime, apeiron.

Aeonic dimension (Äonische Dimension)

Original definition in Heim: A hidden imaginary world-dimension from which the direction of temporal actualization during the aeon is governed.
Explanation: This dimension does not belong to manifest spacetime itself, but to the hidden world-structure from which temporal actualization within the aeon is directed.
Related terms: aeon, transcoordinates, entelechial dimension, world dimensions.

Entelechial dimension (Entelechale Dimension)

Original definition in Heim: A hidden world-dimension normal to physical spacetime which, like the aeonic dimension, counts as imaginary.
Explanation: Heim explicitly links this dimension to the concept of entelechy. In the cosmological passages of Elementarstrukturen der Materie II, it appears together with the aeonic dimension as a hidden structural domain of steering, organization, and actualization.
Word architecture: The term deliberately draws on the Aristotelian family of entelechy.
Related terms: aeonic dimension, transcoordinates, world dimensions.

Chronon

Original definition in Heim: The indivisible time-element conditioned by the existence of the world metron.
Explanation: The chronon is the smallest non-divisible unit of time. It shows that Heim understands discreteness not only spatially, but temporally as well.
Word architecture: From Greek chronos: time.
Related terms: world metron, aeon, spacetime.

Apeiron

Original definition in Heim: A possible domain of the world outside the interval of definition of physical spacetime; spacelessness and timelessness outside the temporally closed interval of the aeon.
Explanation: Apeiron designates the region beyond the physically defined spacetime interval. It is the extra-temporal and extra-spatiotemporal horizon outside the aeon.
Word architecture: From Greek apeiron: the boundless, the indefinite.
Related terms: aeon, spacetime, preformative apeiron-structure, postactual apeiron-structure.

World tensorium (Welttensorium)

Original definition in Heim: The totality of all world points of a six-dimensional space whose four-dimensional subspace is physical spacetime and which, beyond this, has a discontinuous metronic substructure through the world metron.
Explanation: Although this term belongs more centrally to Topic 2, it already matters here because it joins the formal language of coordinates to the metronic ground-structure. Precisely in the world tensorium one sees that Heim may speak of world points while still grounding the world metronically rather than point-ontologically.
Related terms: world, world point, world metron, metronic lattice.

2. Metronic Geometry, Hermetries, and the World Tensorium

Introduction

With metronic geometry, Heim departs decisively from ordinary continuous differential geometry. The material world is no longer to be described by a freely divisible point continuum, but by a discrete structure whose geometrical ultimate unit is the metron. At the level of the world itself, this metron is understood as a constant area difference $\tau$τ. The world metron is therefore neither point-like nor line-like, but explicitly areal. For precisely that reason Heim requires, for the exact description of the material world, a metronic calculus of differences instead of the ordinary infinitesimal calculus.

From this point onward Heim develops an entire geometric language of his own: metronic lattice, metron differential, metron integral, tensorium, structure tensorium, world tensorium, hermetry, hermetry-form, and the various kinds of condensation. What matters here is that Heim does not isolate geometry from physics. Metric structure, physical interpretation, and semantic articulation of the world belong together. A hermetry is therefore not merely “a geometry,” but a non-Euclidean structured subspace whose semantics has been interpreted according to physical principles.

Terms

Metron

Original definition in Heim: In the register, the metron appears in general as a geometrical ultimate unit; for the concrete world-structure, however, this unit is specified as the world metron.
Explanation: The metron in its actual Heimian function is the elementary area element of a discrete world-geometry. Heim-related expositions state explicitly that the discrete elements are not line-elements, but area-elements. In the Introduction, $\tau$ is described as the constant area difference determining the general world-structure. In modern works on Heim theory it is set to the planck-length squared while in Heims original works it holds a factor of 3/8. This is still an ongoing debate.
Word architecture: From Greek metron = measure; in Heim it becomes the elementary geometrical measure-unit of world-structure.
Related terms: world metron, metronic lattice, metron differential, metron integral, world tensorium.

World metron

Original definition in Heim: The geometrical ultimate unit of the world, appearing as a physical constant, in the sense of a two-dimensional area difference different from zero.
Explanation: The world metron is the concrete geometrical ultimate unit of the material world. In Heim-related summaries this quantity is described as an elementary area $\tau$τ, of the order of the Planck area; in the Introduction it is characterized as about $3/8\,l_P^2$​.
Word architecture: World + metron = the elementary area-unit of the world.
Related terms: metron, chronon, world tensorium, metronic lattice.

Metronic lattice

Original definition in Heim: The coordinate lattice conditioned by the metron, in contrast to the infinitesimal coordinate net.
Explanation: The metronic lattice replaces the freely divisible continuum by a discrete lattice structure built from elementary areas. Heim-related explanations stress that these “surface lattices” are bounded by geodesic lattice lines.
Related terms: world metron, lattice selector, tensorium, structure tensorium.

Lattice selector

Original definition in Heim: A selector that, in the Euclidean or pseudo-Euclidean case, describes the finite division of the straight equidistant lattice conditioned by the metron.
Explanation: The lattice selector formally describes the discrete division of the metronic lattice. It already stands at the boundary between pure geometry and selector operatorics.
Related terms: metronic lattice, hyperselector, metron, tensorium.

Metron differential

Original definition in Heim: Minimal change of a number-theoretical function or of its selector in the sense of a difference, because under the condition of the metron the limit to the differential cannot be carried out.
Explanation: The metron differential is Heim’s discrete counterpart to the infinitesimal differential. It describes minimal change not as a limit toward zero, but as a finite metronic difference.
Related terms: metron integral, metron, metronic operator.

Metron integral

Original definition in Heim: Summation operation of metron differentials analogous to infinitesimal integration.
Explanation: The metron integral replaces ordinary integration by a summation of discrete elementary contributions. It is therefore not a minor technical variation, but an expression of the metronic constitution of the world.
Related terms: metron differential, metron integrand, metron.

Metron integrand

Original definition in Heim: The selector over which the metron integral is extended.
Explanation: The metron integrand is the expression on which the metron integral acts. It shows that Heim tightly interweaves geometric discreteness and selector formalism.
Related terms: metron integral, selector, metronic operator.

Metronic operator

Original definition in Heim: A computational prescription under consideration of the metron, which can always be understood as a selector.
Explanation: A metronic operator is a rule of computation based on discrete metronic structure rather than on the infinitesimal continuum. It therefore belongs simultaneously to geometry and operator theory.
Related terms: metron, metron differential, selector, state selector.

Metronic tensorium

Original definition in Heim: General metronic space whose dimension number is at least that of the metron. Such a tensorium is indeed spanned by the primitive tensorium, but here fine-structure selectors of a fine structure of the general tensorium are required.
Explanation: The metronic tensorium is the general discrete structure-space on metronic grounds. For the website, the key point is that it is not a continuous manifold, but a metronically articulated space with its own fine structure.
Related terms: simple metronic tensorium, primitive tensorium, structure tensorium, world tensorium.

Simple metronic tensorium

Original definition in Heim: A simple structure tensorium whose geodesic boundary is the metronic lattice.
Explanation: This is the simplest form of a metronic tensorium. It marks the elementary level at which geodesically bounded metronic structure first appears.
Related terms: metronic tensorium, simple metronic structure tensorium, metronic lattice.

Primitive tensorium

Original definition in Heim: A higher-dimensional space spanned from a simple tensorium, in which the hyperselectors become identical with the lattice selectors.
Explanation: The primitive tensorium is a higher constructive form built from simpler tensoria. It belongs to the hierarchical stratification of metronic spaces.
Related terms: metronic tensorium, simple metronic tensorium, hyperselector.

Simple metronic structure tensorium

Original definition in Heim: A simple sequence of geodesically bounded metra forming a strip whose dimension number is identical with that of the metra.
Explanation: This term describes an elementary ordered sequence of metra. It shows that Heim speaks not only of discrete units, but also of their ordered structural concatenation.
Related terms: metron, simple metronic tensorium, primitive structure tensorium.

Primitive structure tensorium

Original definition in Heim: A higher-dimensional space spanned by simple metronic independent structure tensoria.
Explanation: This denotes the next higher structural composition built from simple metronic structure tensoria.
Related terms: simple metronic structure tensorium, primitive tensorium.

World tensorium

Original definition in Heim: The totality of all world points of a six-dimensional space whose four-dimensional subspace is physical spacetime and which, beyond this, has a discontinuous metronic substructure through the world metron.
Explanation: The world tensorium is the world in its metronic-tensorial constitution. Precisely here one sees Heim’s double language: formally he still speaks of world points, while ontologically the world is discretely and areally articulated by the world metron.
Word architecture: World + tensorium = the tensorial total structure of the world.
Related terms: world, world point, world metron, metronic lattice, hermetry.

Hermetry

Original definition in Heim: A non-Euclidean structured subspace whose semantics has been interpreted according to physical principles.
Explanation: In Heim, hermetry is not merely a geometry, but a physically interpreted structural form of a subspace. Metric form and physical meaning are explicitly joined here.
Word architecture: A technical neologism rather than an ordinary language word.
Related terms: hermetry-form, hermetric structure, anti-hermetry, spatial condensation, temporal condensation.

Anti-hermetry

Original definition in Heim: The absence of a metric structure in a defined subspace, which then has Euclidean or pseudo-Euclidean properties.
Explanation: Anti-hermetry does not mean the absence of all structure, but the absence of hermetric structure. A subspace thus remains Euclidean or pseudo-Euclidean.
Related terms: hermetry, hermetry-form.

Hermetry-form

Original definition in Heim: Possible forms of hermetry within the world tensorium.
Explanation: Hermetry-forms are the concrete structural types in which hermetry occurs in the world tensorium. Among them are spatial, temporal, and spacetime condensations.
Related terms: hermetry, hermetric structure, spatial condensation, temporal condensation, spacetime condensation.

Hermetric structure

Original definition in Heim: The hermetric structuring of world-structures.
Explanation: This term names the way world-structures are articulated hermetrically. It links the level of the world with the specific structural forms of hermetry.
Related terms: world structure, hermetry, hermetry-form.

Metronic condensation

Original definition in Heim: Relative densification of the metra in the projection of hyperselectors onto a lattice.
Explanation: Metronic condensation is the densification of metronic structure. It is one of Heim’s central bridge-concepts between geometry and the emergence of physical structure.
Related terms: condensation stage, structure condensation, spatial condensation, temporal condensation, complex condensation.

Condensation stage

Original definition in Heim: Quantum-like discrete stage of a metronic condensation.
Explanation: In Heim, condensation proceeds not continuously but in discrete stages. The condensation stage is the elementary member of that sequence.
Related terms: metronic condensation, structure stage.

Structure condensation

Original definition in Heim: General condensation of a structural state with respect to the linear equidistant lattice.
Explanation: Structure condensation is the more general notion of the densification of a structural state on a lattice basis. Metronic condensation is a more specific case within this framework.
Related terms: metronic condensation, structure stage, structure compressor.

Structure stage

Original definition in Heim: Discrete, quantum-like element of a metronic structure condensation.
Explanation: The structure stage is the smallest discrete stage within a structure condensation.
Related terms: structure condensation, condensation stage.

Imaginary condensation

Original definition in Heim: A metronic condensation defined only in a domain of imaginary coordinates.
Explanation: This form of condensation concerns only imaginary coordinate domains and therefore belongs to non-immediately manifest structural forms.
Related terms: temporal condensation, complex condensation, hermetry-form.

Complex condensation

Original definition in Heim: The metronic condensation refers both to imaginary and to real coordinates and is therefore defined over the complex algebraic field of numbers.
Explanation: Complex condensation joins real and imaginary coordinate domains in one structural form.
Related terms: imaginary condensation, spacetime condensation, hermetry-form.

Spatial condensation

Original definition in Heim: A hermetry-form in which, to the self-condensation of the transcoordinates, a condensation of physical space is structurally integrated.
Explanation: Spatial condensation is the hermetry-form in which physical space itself enters the condensation process. It therefore belongs to the basic forms of physical manifestation.
Related terms: hermetry-form, temporal condensation, spacetime condensation, spatial condensor.

Temporal condensation

Original definition in Heim: An imaginary hermetry-form in which the three imaginary world dimensions form condensation stages.
Explanation: Temporal condensation is a purely imaginary hermetry-form. It concerns the hidden world dimensions and therefore lies closer to latent than to manifest spatial structure.
Related terms: imaginary condensation, hermetry-form, spacetime condensation.

Spacetime condensation

Original definition in Heim: The structural form in the case of a hermetry of all world coordinates.
Explanation: Spacetime condensation is the most comprehensive of these basic forms, because it includes all world coordinates in one hermetry.
Related terms: spatial condensation, temporal condensation, complex condensation, hermetry-form.

Hyperstructure

Original definition in Heim: A space completely determined by the metron, which is determined as a structure tensorium by a fine-structure selector.
Explanation: Hyperstructure is a fully metronically determined space of higher structural order. It shows how Heim extends metronic geometry toward more complex structural worlds.
Related terms: metronic tensorium, fine structure, structure tensorium, hyperselector.

Metronic domain of validity

Original definition in Heim: Approximate domains: the first marks exact solutions at low metron numbers, the second approximate solutions at high metron numbers; the third, with vanishing metron, infinitesimal micromar solutions; and the fourth, according to the correspondence principle, the transition to the macromar field continuum.
Explanation: Heim explicitly determines under which conditions the metronic description is exact, approximate, or transferable into a macroscopic continuum. His theory therefore does not simply negate the continuum, but reorders its domain of validity.
Related terms: metron, metronic lattice, correspondence principle.

3. Selectors, Condensors, and Structural Operators

Introduction

With the concept of the selector, Heim introduces a distinctive operational language. A selector is, first of all, a rule of selection: a prescription that selects or generates values from a set of positive integers or from a more general number field. From there Heim develops a hierarchy of forms: simple selectors, functional selectors, field selectors, fundamental selectors, state selectors, and finally the world selector. This already shows that selectors are not merely auxiliary devices, but the operative core of Heim’s theory.

The condensors belong to the same level of structure. Most important is the fundamental condensor as the selector of the measure of a metronic condensation. It does not stand alone, but within a framework of lattice kernels, fundamental selectors, correlators, condensor signatures, condensfield selectors, and more specific forms such as the space condensor or structure condensor. At this level, geometrical discreteness, tensorial structure, and physical states are brought into one common operational form.

Terms

Selector

Original definition in Heim: A rule of selection that selects function values from the set of positive integers or generates them over a more general number field.
Explanation: The selector is the basic concept of Heim’s operatorics. It denotes not a finished physical quantity, but the formal rule by which number sequences, field values, or structural relations are selected.
Word architecture: Selector is a technical term based on the idea of choosing or selecting.
Related terms: functional selector, field selector, fundamental selector, world selector.

Unity selector

Original definition in Heim: A selector whose action always yields the value 1.
Explanation: The unity selector is the simplest special case of a selector. It functions as an elementary operatorial reference case.
Related terms: constant selector, null selector.

Constant selector

Original definition in Heim: A selector related to the unity selector whose action always yields the same constant.
Explanation: The constant selector generalizes the unity selector. It returns a fixed constant rather than necessarily 1.
Related terms: unity selector, null selector.

Null selector

Original definition in Heim: A special constant selector in which the constant has the value 0, so that the action of this null selector always yields 0.
Explanation: The null selector is especially important in Heim because whole classes of structure are selected by conditions of the form “selector action = 0.”
Related terms: constant selector, world selector.

Scalar coordination selector

Original definition in Heim: By this principle of selection the coordinate divisions conditioned by the metron are determined.
Explanation: The scalar coordination selector fixes the discrete division of a metronic coordinate system.
Related terms: oriented coordination selector, lattice selector, metron.

Oriented coordination selector

Original definition in Heim: A coordination selector whose action at the same time fixes the vectorial orientations of the coordinates.
Explanation: Here the mere division of the coordinate system is extended by the orientation of its directions.
Related terms: scalar coordination selector, world coordinates.

Argument selector

Original definition in Heim: A selector on which a functional selector depends.
Explanation: The argument selector is the selector that serves as an input to a higher functional selector.
Related terms: functional selector, partial selector.

Functional selector

Original definition in Heim: A higher selector that depends functionally on other selectors.
Explanation: The functional selector is a higher-order selector. It does not act on raw values directly, but on already given selector-structures.
Related terms: argument selector, partial selector, field selector, state selector, world selector.

Partial selector

Original definition in Heim: A functional selector depending on partial structures.
Explanation: The partial selector belongs to the operatorial treatment of composite structures. It addresses one partial aspect rather than the whole directly.
Related terms: functional selector, partial structure, correlator.

Lattice selector

Original definition in Heim: A selector that, in the Euclidean or pseudo-Euclidean case, describes the finite division of the straight equidistant lattice conditioned by the metron.
Explanation: The lattice selector describes the discrete partition of a structure-poor metronic lattice. It is the simple selector-form for the Euclidean or pseudo-Euclidean case.
Related terms: hyperselector, lattice kernel, metronic lattice.

Hyperselector

Original definition in Heim: A selector that describes the metron-conditioned division of geodesic coordinates of a non-Euclidean structure and differs from the lattice selector when such a structure exists.
Explanation: The hyperselector is the generalized selector-form for non-Euclidean structures. It appears where genuine structural curvature goes beyond the simple lattice.
Related terms: lattice selector, fine-structure selector, metronic condensation.

Fine-structure selector

Original definition in Heim: A selector that describes the fine structure of a metronized space.
Explanation: The fine-structure selector describes the inner subdivision of an already metronized space.
Related terms: fine structure, hyperstructure, hyperselector.

Field selector

Original definition in Heim: A selector, or functional selector, whose action appears as a field function.
Explanation: The field selector is the selector-form of a field quantity. It links discrete operatorics to field description.
Related terms: functional selector, spinfield selector, state selector.

Spinfield selector

Original definition in Heim: The field selector of the spinfield.
Explanation: The spinfield selector is the field-theoretic selector-form of metron spin.
Related terms: spinfield, spin selector, field selector.

Spin selector

Original definition in Heim: Field selector of the metron spin.
Explanation: The spin selector describes the spin structure of metronic elements in selector form.
Related terms: metron spin, spinfield selector, field selector.

Fundamental selector

Original definition in Heim: A tensorial selector whose action generates a fundamental tensor and is always the iteration of two different or identical lattice kernels.
Explanation: The fundamental selector is one of the central basic forms of Heim’s operatorics. It generates fundamental tensors and arises from the iteration of lattice kernels.
Related terms: lattice kernel, correlator, fundamental condensor.

Lattice kernel

Original definition in Heim: A tensorial selector that, as the kernel of a metronic integral operator, describes the state of a metronic condensation.
Explanation: The lattice kernel is an elementary structural unit of the operatorics. From its iterations, fundamental selectors and correlator-structures are built.
Related terms: fundamental selector, structural units, correlator.

Correlator

Original definition in Heim: A square hypermatrix whose elements are the fundamental selectors of the partial structures.
Explanation: The correlator is the matrix form in which several fundamental selectors are gathered as partial structures. It is the basis of polymetric structural composition.
Related terms: fundamental selector, partial structure, polymetry, correlation mediator.

Polymetry

Original definition in Heim: The interrelation of the fundamental selectors of the correlator into a compositional field when the correlator consists of more than one element.
Explanation: Polymetry denotes the operative linking of several fundamental selectors into a higher structural field.
Related terms: correlator, compositional field, partial structure.

Fundamental condensor

Original definition in Heim: The selector of the measure of a metronic condensation.
Explanation: The fundamental condensor is Heim’s central condensor concept. It does not merely describe a “densification,” but the selectorial measure of a condensation-state.
Related terms: condensor signature, condensfield selector, structure condensor, space condensor, world selector.

Condensor signature

Original definition in Heim: The basis, contra-, and effect-signature of a fundamental condensor.
Explanation: The condensor signature gathers the three signature aspects by which a fundamental condensor is variationally determined.
Related terms: basis signature, contra-signature, effect signature, fundamental condensor.

Basis signature

Original definition in Heim: The indexing of the covariant part in a fundamental condensor.
Explanation: The basis signature determines the covariant component of a fundamental condensor.
Related terms: condensor signature, contra-signature, effect signature.

Contra-signature

Original definition in Heim: The indexing of the contravariant structural part of a mixed-variant fundamental condensor appearing as a binary field.
Explanation: The contra-signature determines the contravariant structural component in the mixed-variant constitution of a fundamental condensor.
Related terms: condensor signature, basis signature, effect signature.

Effect signature

Original definition in Heim: This signature indicates which lattice kernel in the contravariant fundamental selector causes the mixed-variant binary field of the corresponding fundamental condensor.
Explanation: The effect signature identifies which structural source in the contravariant part carries the concrete field-effect of the fundamental condensor.
Related terms: condensor signature, basis signature, contra-signature, lattice kernel.

Condensfield selector

Original definition in Heim: A selector of covariant differentiation under consideration of the metron and the partial structures.
Explanation: The condensfield selector describes covariant differentiation on a metronic basis in connection with condensor and partial structure.
Related terms: fundamental condensor, effect matrix, partial structure.

Structure condensor

Original definition in Heim: The functional selector that acts on a fundamental condensor and generates the structure compressor.
Explanation: The structure condensor is a higher condensor form. By acting on a fundamental condensor, it generates the structure compressor.
Related terms: fundamental condensor, structure compressor, space condensor.

Space condensor

Original definition in Heim: The structure condensor referred to the world tensorium, which in this form generates the space compressor as a functional selector.
Explanation: The space condensor is the form of the structure condensor referred specifically to the world tensorium. It is one of the central operatorial concepts for the metric states of the world tensorium.
Related terms: structure condensor, space compressor, state selector, world tensorium.

State selector

Original definition in Heim: A Hermitian functional selector that is the metronic analogue of the state operator. If the state selector acts on a field selector generating a convergent metronic state function, its eigenvalues form a discrete point spectrum analogous to quantum states.
Explanation: With the state selector, Heim formulates a metronic version of the quantum-mechanical state operator. The decisive point is the discrete eigenvalue spectrum arising from metronic structure.
Related terms: field selector, space condensor, fundamental condensor.

World selector

Original definition in Heim: A higher functional selector that, when acting on a fundamental condensor in six dimensions, identifies it as a world structure whenever the result of that selector-action is a fourth-degree tensorial null selector.
Explanation: The world selector is one of the most important concepts in the whole theory. It is the principle of selection by which certain geometrical or condensorial structures are identified as world-structures at all. Later summaries explicitly highlight this idea as a central selection principle of the material world.
Related terms: functional selector, null selector, fundamental condensor, world structure.

Partial structure

Source-near definition in Heim: Argument tensors of the compositional field.
Explanation: Partial structures are the component-structures from which a compositional field is built. In Heim’s operatorics they therefore function as the true arguments of higher structural relations.
Related terms: compositional field, structure composition, correlator, binary field.

Binary field

Original definition in Heim: Those fundamental condensors in which two different elements of the correlator stand in interrelation. In the Syntrometrische Maximentelezentrik, a parallel formulation appears: transmission field from two partial structures.
Explanation: The binary field is the simplest mixed-variant field-structure between two partial structures. It is one of the basic forms from which Heim builds higher structural associations and coupling tensors.
Related terms: partial structure, correlation tensor, coupling tensor, fundamental condensor.

Effect matrix

Original definition in Heim: The totality, arranged in a rectangular scheme, of all condensfield selectors possible for a given condensor signature. In the Syntrometrische Maximentelezentrik, the complementary formulation appears: the totality of all co- and contravariantly acting multiplet signatures.
Explanation: The effect matrix systematically gathers the possible modes of action of a given condensor signature. It is thus the matrix form of the operative possibilities of a condensor field.
Related terms: condensor signature, type signature, condensfield selector, total effect matrix.

Type signature

Original definition in Heim: A co- and a contravariant signature of the condensfield selectors indicating how the respective condensfield selector acts on co- or contravariant indexings of general tensorial field selectors.
Explanation: The type signature describes the concrete mode of action of a condensfield selector on tensor indices. It is therefore one of the building blocks of the effect matrix.
Related terms: effect matrix, condensfield selector, basis signature, contra-signature, effect signature.

Structure composition

Original definition in Heim: Structural composition of hermetric kind built from general partial structures.
Explanation: Structure composition is the more general relation in which several partial structures are combined into one hermetric whole.
Related terms: partial structure, compositional field, correlation tensor, coupling tensor.

Structure compressor

Original definition in Heim: A tensorial selector of fourth degree describing the metronic state of densification of a condensation of a general structure field relative to a reference system.
Explanation: The structure compressor is the compressed state-description of a general structure field. It indicates the degree of densification of a relative condensation.
Related terms: structure condensor, space compressor, fundamental condensor, condensation stage.

Space compressor

Original definition in Heim: The structure compressor referred to the world tensorium.
Explanation: The space compressor is the form of the structure compressor specialized to the world tensorium. It thus belongs directly to the description of the metric states of world-structure.
Related terms: structure compressor, space condensor, world tensorium, state selector.

Coupling tensor

Original definition in Heim: Since the principle of change of variance level need not hold in the case of a polymetry of partial structures, a tensorial coupling selector appears as a factor before certain mixed-variant fundamental condensors. In the Syntrometrische Maximentelezentrik, this is further stated as follows: it is built from the mixed-variant tensorial structural associations belonging to a binary field; the totality of all coupling tensors describes the corresponding structure composition.
Explanation: The coupling tensor is the tensorial formation carrying the coupling between partial structures in polymetric relations. It thus joins binary field, structural association, and structure composition.
Related terms: composite selector, binary field, partial structure, structure composition.

Composite selector

Original definition in Heim: A tensorial selector indicating the correlation between one contravariantly and one covariantly acting element of the correlator in the binary field of a fundamental condensor when a polymetry is present and the law of change of variance level no longer holds. In doing so, the composite selector builds up the coupling tensor.
Explanation: The composite selector is the operative rule by which a no-longer simply variance-law-governed correlation in the binary field is formally captured. It is the immediate building operator of the coupling tensor.
Related terms: coupling tensor, binary field, correlator, polymetry.

4. Particle Structures, Fields, and Mass

Introduction

This domain addresses how particles, fields, and mass arise from metronic geometry and synmetronic structure. For Heim, an elementary particle is not simply a point-like object, but a structured term of complex hermetry with internal zones, condensation stages, correlations, and prototropes. The real structural core therefore lies below the level of the empirically observed particle: in synmetronic structural units, protofields, prototropes, fluktons, shield fields, protosimplices, and the coupling structures built from them.

At the same time, Heim uses “elementary” in a deeper sense than ordinary particle physics. In the Introduction, he states explicitly that the true structural ultimate unit is the protosimplex, though this itself is still not the primordial phenomenon of the world. Beneath it lies a single metronic spin anisotropy. In this way Heim shifts the question of matter from observable particles to a deeper structural and field-like layer.

Terms

Matter-field quantum

Original definition in Heim: A general term for all quantum stages of the general matter field, including both corpuscular quanta with rest mass and those with vanishing rest mass.
Explanation: The matter-field quantum is Heim’s umbrella term for both massive and massless quantum stages of material structure.
Related terms: particle structure, graviton, mass term, ponderability.

Ponderability

Original definition in Heim: Weighability as a consequence of the existence of rest mass.
Explanation: Ponderability designates the fact that a structure appears as mass-bearing and therefore as weighable matter.
Related terms: matter-field quantum, mass term, straton.

Synmetronics

Original definition in Heim: A special form of polymetry of three tensorial lattice kernels as structural units of the metronic world tensorium.
Explanation: Synmetronics is Heim’s particle-structure theory in the narrower sense. It describes how complex particle structures are built from three synmetronic structural units.
Word architecture: syn- and metron already indicate an ordered co-structuring of metronic elements.
Related terms: structural units, protofield, prototrope, protosimplex.

Structural units

Original definition in Heim: The synmetronic tensorial lattice kernels whose iterations form the elements of the synmetronic correlator.
Explanation: Structural units are the elementary synmetronic building blocks from whose iterations the correlator structure of a particle is built.
Related terms: synmetronics, lattice kernel, synmetronic correlator.

Protofield

Original definition in Heim: The Hermitian part of a synmetronic fundamental tensor.
Explanation: The protofield is the first field-like structure on the synmetronic level. It is not yet an empirical field in the ordinary sense, but a structural precursor.
Related terms: field activator, protoselector, synmetronic fundamental tensor.

Field activator

Original definition in Heim: The anti-Hermitian part of a synmetronic fundamental tensor.
Explanation: The field activator complements the protofield. Whereas the protofield forms the Hermitian side, the field activator describes the anti-Hermitian side by which the field structure becomes dynamically active.
Related terms: protofield, activation selector, prototrope.

Activation selector

Original definition in Heim: Anti-Hermitian part of a synmetronic fundamental selector.
Explanation: The activation selector is the operatorial form of the field activator.
Related terms: field activator, protoselector, fundamental selector.

Protoselector

Original definition in Heim: The functional selector of a protofield.
Explanation: The protoselector is the selector form through which a protofield is functionally determined.
Related terms: protofield, activation selector, functional selector.

Prototrope

Original definition in Heim: Primordial forms of elementary synmetronic condensation stages, appearing as fluktons or shield fields and structuring the protosimplices.
Explanation: Prototropes are the elementary primordial forms of synmetronic structure. In the main text Heim makes clear that flukton, shield field, and straton can be understood as different states or expressions of this prototropic level.
Word architecture: proto- marks priority or origin; -trope points to directed structural form or turn.
Related terms: flukton, shield field, straton, protosimplex.

Flukton

Original definition in Heim: A dynamic prototrope as a structural element of metronic condensations.
Explanation: The flukton is the dynamic form of a prototrope. In the main text Heim describes it as a system of signaturally isomeric basic flows; it therefore belongs to the dynamic flow-side of synmetronic structure.
Related terms: prototrope, basic flow course, flukton spin, protosimplex.

Basic flow course

Original definition in Heim: Temporal course of synmetronic condensation stages that form the flukton as dynamic prototropes.
Explanation: The basic flow course describes the temporal dynamics from which flukton structure arises.
Related terms: flukton, flukton conjugation, prototrope.

Flukton spin

Original definition in Heim: Spin vector normal to the plane of the cyclical motion of the flukton.
Explanation: The flukton spin is the spin structure of the dynamic prototrope.
Related terms: flukton, space spin, straton spin.

Shield field

Original definition in Heim: In the register, singular and correlative shield fields are distinguished; both appear as prototropic static states with identical condensor signatures.
Explanation: The shield field is the static side of prototropic structure. In the main text Heim explicitly states that fluktons and shield fields are different states of the same synmetronic phenomenon.
Related terms: prototrope, flukton, shield-field correspondence, protosimplex.

Straton

Original definition in Heim: The structure field of real physical space determined by the coupling structure of a complex hermetry, but free of condensation stages, and decaying approximately exponentially as a near-field.
Explanation: The straton is a near-field of real physical space. In the main text it appears as a special prototropic structure field that has no corresponding flukton partner and is connected with the ponderability of complex hermetry forms.
Related terms: prototrope, space spin, straton spin, straton matrix.

Protosimplex

Original definition in Heim: The simplest structure built only from the prototropes of the flukton and the shield fields.
Explanation: The protosimplex is the simplest synmetronic structural unit above the individual prototrope. Heim explicitly states that it is the real structural ultimate unit of particle structure, even though it is not yet the primordial phenomenon of the world itself.
Related terms: prototrope, flukton, shield field, protosimplex generator, coupling structure.

Protosimplex generator

Original definition in Heim: A quantity formed multiplicatively from structure potency, basis ascent, and an excitation function, by which the occupation of the configuration zones with protosimplices can be determined.
Explanation: The protosimplex generator determines how protosimplices are distributed across the configuration zones of a term.
Related terms: protosimplex, basis ascent, structure potency, resonance order, configuration zone.

Protosimplex charge

Original definition in Heim: Describes the multiplication of protosimplices in the resonance spectrum into an invariant basic pattern, to which the protosimplex charge 1 always belongs.
Explanation: Protosimplex charge is not an ordinary electric charge concept, but an internal structural concept of the resonance spectrum.
Related terms: protosimplex, resonance spectrum, invariant basic pattern.

Coupling structure

Original definition in Heim: Structural arrangement of a correlative formation built from protosimplices.
Explanation: The coupling structure describes how protosimplices are linked into more complex synmetronic formations.
Related terms: correlation, prototrope combination, protosimplex, correspondence.

Correlation

Original definition in Heim: The internal interrelation of protosimplices within the composite term of a complex hermetry-form.
Explanation: Correlation is the internal linkage within a particle structure.
Related terms: correlation selector, correlation conjunctive, coupling structure, correspondence.

Correspondence

Original definition in Heim: The external interrelation between the coupling structures of corresponding terms of complex hermetry.
Explanation: Correspondence is the external relation between different terms, in contrast to internal correlation.
Related terms: correspondence system, shield-field correspondence, correlation.

Correspondence system

Original definition in Heim: A higher-order structure built from corresponding terms of complex hermetry. Empirically, the system appears as a nuclear or atomic structural formation.
Explanation: The correspondence system marks the transition from particle structure to composed physical systems such as nuclei or atoms.
Related terms: correspondence, term, atomic structure, nuclear structure.

Space spin

Original definition in Heim: Component of the general straton spin of a hermetry-form in real physical space. This space spin is identical with the empirical concept of spin.
Explanation: Space spin is the component of the more general spin structure that appears in real physical space. It is Heim’s bridge to the empirical spin concept of particle physics.
Related terms: straton spin, spinor term, tensor term, space-spin correspondence.

Straton spin

Original definition in Heim: The general spin quantum number of a term of complex hermetry, representing spin behavior in all dimensions of the world tensorium.
Explanation: Straton spin is more general than empirical space spin. It describes the spin structure of a term throughout the whole world tensorium.
Related terms: space spin, straton, spinor term, tensor term.

Spinor term

Original definition in Heim: Terms of complex hermetry with half-integer quantum number of space spin (fermions).
Explanation: The spinor term corresponds, in Heim’s language, to fermionic particle structures with half-integer spin.
Related terms: tensor term, space spin, straton spin.

Tensor term

Original definition in Heim: A term of complex hermetry with integer quantum number of space spin (bosons).
Explanation: The tensor term corresponds, in Heim’s language, to bosonic particle structures with integer spin.
Related terms: spinor term, space spin, straton spin.

Term selector

Original definition in Heim: A selector that selects and separates the discrete point spectra of complex hermetry as partial spectra from the unified spectrum of all possible hermetry-forms.
Explanation: The term selector is the selection principle by which discrete particle terms are extracted from the total spectrum of possible hermetry-forms.
Related terms: term, spinor term, tensor term, resonance spectrum.

External-field correlation

Original definition in Heim: Interrelation of concrete synmetronic structures with external fields, determined in the second domain of validity by the correlation exponent.
Explanation: External-field correlation describes the coupling of synmetronic particle structures to outer fields.
Related terms: external-field correlator, external-field selector, correlation, field.

External-field selector

Original definition in Heim: The fundamental condensor supplemented by the correlation tensor, in which the external field is then expressed by the correlation tensor.
Explanation: The external-field selector is the operatorial form in which an external field is incorporated into synmetronic structure theory.
Related terms: external-field correlation, fundamental condensor, correlation tensor.

Maximon

Original definition in Heim: A hypothetical particle of maximal rest mass whose value equals the Planck mass and appears as a gauge factor.
Explanation: The maximon is a limiting concept for maximal rest mass and at the same time a gauge factor.
Related terms: rest mass, mass term, ponderability.

Graviton

Original definition in Heim: Hypothetical quanta of the gravitational field whose existence is suggested by a hermetry-form.
Explanation: Heim also introduces the graviton as a structurally motivated field-quantum concept. It arises from hermetry-form rather than as an externally imposed postulate.
Related terms: matter-field quantum, field, hermetry-form.

Basis ascent

Original definition in Heim: Increase of the protosimplex occupations in the term of a complex hermetry-form in the case of a temporally constant basic occupation as scaffold-structure.
Explanation: Basis ascent describes the basic law according to which the protosimplex occupations of a term grow. Together with structure potency and excitation function, it belongs to the construction of the protosimplex generator.
Related terms: protosimplex generator, structure potency, resonance order, configuration zone.

Structure potency

Original definition in Heim: The factor, dependent on the quantum-number set of the basic pattern, in the product of basis ascent and excitation function within the protosimplex generator.
Explanation: Structure potency is the quantum-number-dependent weighting factor in the protosimplex generator. It helps determine how the occupations of the configuration zones arise from a basic pattern.
Related terms: basis ascent, protosimplex generator, resonance order, resonance spectrum.

Resonance order

Original definition in Heim: Positive integers by which the possible resonances in the resonance spectrum of a basic-pattern term are described, such that resonance order 0 reproduces the mass-term of the basic pattern; above, they are bounded by a positive integer depending solely on the quantum-number set of the respective basic pattern.
Explanation: Resonance order numbers the possible excited terms of a basic pattern. Order 0 is the basic-pattern term itself; higher orders describe its resonances.
Related terms: resonance spectrum, resonance basis, resonance grid, protosimplex generator.

Resonance spectrum

Source-near determination in Heim: The higher energetic terms belonging to a basic pattern do not arise stepwise by excitations, but, because of the nonlinearity of zone occupations, by a single process of energy transfer as resonance; they can therefore be designated as the resonance spectrum of the basic pattern.
Explanation: The resonance spectrum is the totality of higher energetic terms belonging to one invariant basic pattern. Heim explicitly understands them as resonance formations of that pattern rather than as a merely linear continuation of it.
Related terms: resonance order, resonance basis, resonance grid, basic pattern, protosimplex charge.

Resonance basis

Original definition in Heim: A dimensionless numerical factor depending solely on the quantum-number set of an invariant basic pattern and marking the beginning of the spectrum of resonances with respect to the invariant mass-term of the corresponding basic pattern.
Explanation: The resonance basis fixes the point at which the resonance spectrum begins relative to the mass-term of the basic pattern.
Related terms: resonance order, resonance grid, resonance spectrum.

Resonance grid

Original definition in Heim: A dimensionless number depending solely on the quantum-number set of the invariant basic pattern and determining the energetic separations of neighboring terms in the resonance spectrum of that basic pattern.
Explanation: The resonance grid describes the energetic spacing structure of neighboring resonance terms.
Related terms: resonance basis, resonance order, resonance spectrum.

Configuration zone

Source-near determination in Heim: The occupation of the configuration zones of a term is determined by the protosimplex generator; for each configuration zone there are upper and lower bounds of the time-dependent occupation numbers.
Explanation: Configuration zones are the inner occupation-domains of a term of complex hermetry. Heim describes the construction of basic patterns and resonances precisely through the occupation and redistribution of these zones.
Related terms: central zone, internal zone, meso-zone, external zone, protosimplex generator.

Central zone

Original definition in Heim: The central configuration zone of highest density and cubically increasing occupation with protosimplices in the interior of a term of complex hermetry.
Explanation: The central zone is the densest inner region of the term. Its occupation grows cubically and stands at the center of the zonal structural pattern.
Related terms: configuration zone, internal zone, meso-zone, external zone.

Internal zone

Original definition in Heim: The configuration zone of a term of complex hermetry whose protosimplex occupation increases quadratically and which lies between the central zone and the meso-zone.
Explanation: The internal zone forms the middle inner layer between central zone and meso-zone. Its characteristic law is the quadratic increase of protosimplex occupation.
Related terms: central zone, meso-zone, configuration zone.

Meso-zone

Source-near determination in Heim: The meso-zone increases linearly; because of this, protosimplex transfer between external zone and meso-zone can occur when lower bounds are undershot.
Explanation: The meso-zone is the linear transition zone between the inner and outer structure of the term. Its linearity is crucial for Heim because it allows transfers with the external zone.
Related terms: external zone, internal zone, protosimplex transfer, configuration zone.

External zone

Original definition in Heim: The outer configuration zone of a term of complex hermetry.
Explanation: The external zone is the outermost configuration zone of a term. In Heim it plays an especially important role in connection with resonances and protosimplex transfers.
Related terms: meso-zone, configuration zone, protosimplex transfer.

Protosimplex transfer

Original definition in Heim: The displacement of protosimplices from the meso-zone into the external zone as a consequence of linearity.
Explanation: Protosimplex transfer describes the redistribution of occupations between meso-zone and external zone. Heim uses it to explain why certain theoretically possible resonance terms have to be excluded.
Related terms: meso-zone, external zone, resonance spectrum, configuration zone.

Prototrope combination

Original definition in Heim: A correlative combination of prototropes corresponding to the coupling structure, which as maxima of the sources of correspondence fields structures the compositive condensation stage.
Explanation: The prototrope combination is the correlative combination of prototropes corresponding to a coupling structure. It thus lies at the boundary between inner particle structure and the formation of correspondence fields.
Related terms: prototrope, coupling structure, correspondence field, compositive condensation stage.

Shield-field correspondence

Original definition in Heim: An interrelation between two terms of complex hermetry that takes place through their integral shield-images built from the prototropic shield fields of the protosimplices.
Explanation: Shield-field correspondence is a special form of correspondence between two terms of complex hermetry. It does not proceed through fluktons, but through the integral shield-images of protosimplex structure.
Related terms: shield field, correspondence, correspondence system, protosimplex.

5. Higher Domains, Organization, and Non-Material Structures

Introduction

In the later writings, Heim extends his theory beyond the material world $R_6$​. The hyper-space R12 becomes the background-domain from which not only physical, but also biological, psychic, and mental structures are co-determined. In the editorial introductions to Mensch und Welt and Postmortale Zustände?, this extension is explicitly linked with the fourfold articulation of physis, bios, psyche, and pneuma. According to Heim, these four domains are hierarchically nested, and the term “domain of existence” is expressly to be understood metaphorically.

This fifth section therefore gathers the terms by which Heim speaks about hyper-space, background dynamics, organization, life, psyche, mind, and the corresponding non-material horizons of structure. It includes both the basic concepts of $R_{12}$ and transitional terms such as futural potency, time-section, ur-element, ur-set, and ur-structure, which Heim uses when describing pre-temporal or trans-physical structural orders.

Terms

Hyper-space

Original definition in Heim: The $R_{12}$​ made possible alongside an $R_6$​ (material world) according to a law of dimensions.
Explanation: In Heim, hyper-space is not simply another mathematical space, but the extended background-domain in which additional forms of structure and steering are located. In the later writings it is explicitly connected with the domains of bios, psyche, and pneuma.
Word architecture: Hyper- marks a going-beyond the material world-structure.
Related terms: hyper-space dynamics, basic hermetry, informational hermetry, physis, bios.

Hyper-space dynamics

Original definition in Heim: The dynamic processes conditioned by the mappings of the subspace structures of hyper-space into one another.
Explanation: Hyper-space dynamics denotes the dynamic processes arising from the mutual mappings of the subspace structures of $R_{12}$​. In the later writings, bios, psyche, and pneuma are explicitly said to contain components within this hyper-space dynamics.
Related terms: hyper-space, bios, psyche, pneuma, time-section.

Basic hermetry

Original definition in Heim: Metric structures in the subspaces conditioned by the structuring of the coordinate-set of hyper-space.
Explanation: Basic hermetries are the fundamental metric structures of the hyper-space subdomains. They form the geometric pre-structure on which further non-material or organizational differentiations are built.
Related terms: hyper-space, informational hermetry, hermetry.

Informational hermetry

Original definition in Heim: Characterizes the hermetric structures possible in the subspace of informational coordinates $(x^7,x^8)$.
Explanation: Informational hermetry designates hermetric structures of a special informational subspace of hyper-space. The term marks a transition from mere geometry to structures of order and information.
Related terms: hyper-space, basic hermetry, hyper-space dynamics.

Physis

Source-near definition from Heim-related introduction: The domain of existence $\alpha$, physis, comprises the totality of the laws of inorganic-material occurrence, that is, all variants of physical and chemical laws.
Explanation: In Heim, physis is the domain of quantitatively formulable material world-processes. At the same time, it is explicitly said that this physical picture gives only the quantifiable shadow of the real world.
Related terms: bios, psyche, pneuma, world tensorium.

Bios

Source-near definition from Heim-related introduction: The domain of existence $\beta$, bios, denotes the totality of biological laws; in Mensch und Welt it is also linked with active self-formation.
Explanation: Bios is the domain of life. Heim does not treat it as a mere chemical complication of physis, but as a domain with its own laws, which implies physis and is, according to the later writings, co-steered from hyper-space.
Related terms: physis, psyche, soma, hyper-space dynamics.

Psyche

Source-near definition from Heim-related introduction: The domain of existence $\gamma$, psyche, implies the totality of the laws of psychic behavior in the experiential realm of feeling and emotion; this is to be understood as the total domain of the emotional behaviors and vital impulses of living organisms.
Explanation: In Heim, psyche is not a merely subjective residual notion, but a distinct law-domain which implies bios and can in turn be transcended by pneuma.
Related terms: bios, pneuma, soma, hyper-space dynamics.

Pneuma

Source-near definition from Heim-related introduction: The domain of existence $\delta$, pneuma (spirit), contains the totality of mental lawfulness from thinking, reflection, intuition, and creativity up to wisdom.
Explanation: Pneuma is the highest of the four domains distinguished in these writings. Heim associates it with reflective autonomy and uses it as the central term for the spiritual or mental domain.
Related terms: psyche, persona, hyper-space dynamics.

Soma

Source-near definition from Heim-related introduction: The living material organism is defined as soma.
Explanation: Soma designates the living material organism as bearer of biological and psychic structure-processes. Heim explicitly states that the matter of a living soma is structured all the way down to the atomic domain.
Related terms: bios, psyche, physis.

Futural potency

Original definition in Heim: The totality of possible steerings of an event from the aeonic dimension toward actualizations in later events.
Explanation: Futural potency designates a reservoir of possible future directions of actualization. It belongs to Heim’s terms for temporal openness and steering beyond mere linear causality.
Related terms: aeonic dimension, time-section, rheomorphism.

Aeonic mundal potency of being

Original definition in Heim: The hermetry in the aeonic dimension in which no condensation stages are formed.
Explanation: This term designates a structural potency in the aeonic dimension that does not pass into discrete condensation stages. It belongs to Heim’s language about the non-immediately manifest background of the world.
Related terms: aeonic dimension, futural potency, apeiron.

Rheomorphism

Original definition in Heim: The probabilities of interaction conditioned by the steering of time-structure.
Explanation: In Heim, rheomorphism denotes probabilities of interaction governed by time-structure. It thus stands at the junction of temporal organization, dynamics, and non-purely physical steering.
Related terms: futural potency, hyper-space dynamics, time-structure.

Time-section

Original definition in Heim: Access of timeless world-structures $G_4 \cup I_2 \to S_2 \to T_1 \cup R_3$​ to some structured bundle of time-lines of the time-structure $T_1$​ within the interval of definition $0 \le t \le \theta$ of the material world $R_6 \supset R_4$​.
Explanation: The time-section describes the access of timeless or trans-temporal structural orders to the temporal structure of the material world. It is one of Heim’s terms for the passage between physical temporality and higher structural background.
Related terms: hyper-space dynamics, futural potency, ur-element, ur-structure.

Ur-element

Original definition in Heim: A spaceless and timeless number-element after the entry of preformative apeiron-structures into temporality.
Explanation: The ur-element belongs to Heim’s language about pre-temporal or trans-temporal structural states. It is not a material object, but a spaceless and timeless structural element.
Related terms: ur-set, ur-structure, preformative apeiron-structure, apeiron.

Ur-set

Original definition in Heim: Structured set of possible ur-elements.
Explanation: The ur-set is the ordered set of possible ur-elements. It therefore belongs to Heim’s basic language of origin and preformation.
Related terms: ur-element, ur-structure.

Ur-structure

Original definition in Heim: Structures immediately after initialization of cosmic motion (temporality) after $t=0$.
Explanation: Ur-structure designates the earliest structural order after entry into temporality. It therefore belongs at the boundary between apeiron, the beginning of time, and cosmic motion.
Related terms: ur-element, ur-set, cosmic motion, preformative apeiron-structure.

6. Syntrometry, Aspect-Systems, and Metalogic

Introduction

With syntrometry, Heim attempts to move beyond the limits of particular historical logics. The point of departure is the insight that every logical system is the expression of a specific intellectual structure, and that an operating consciousness can in practice analyze only within the system that is analogous to its own intellectual structure. Syntrometry is therefore meant to be a schema whose formal operations can be expressed in arbitrary logical systems by means of the concepts of a suitable subjective aspect. Heim formulates this explicitly as the search for an analytical schema that makes formal operation possible in arbitrary logical systems.

From this point Heim develops a distinctive conceptual architecture of subjective aspect, system generator, aspect-field, aspect-system, metropy, aspect-complex, aspect-group, syndrome, category, apodictics, functor, quantor, polyquantor, universal quantor, syntrix, metrophor, and synkolator. These terms no longer belong to the narrower domain of metronic physics, but to Heim’s attempt at a formal metalogic of orders of statement and structure. Syntrometry is thus the most general and conceptually most difficult layer of his work.

Terms

Syntrometry

Source-near determination in Heim: In developing a syntrometry, what matters is to find an analytical schema by means of which formal operation in arbitrary logical systems becomes possible.
Explanation: In Heim, syntrometry is not merely terminology or philosophical reflection. It is the attempt to develop a formally controllable method by which statements, concepts, and structures can be made comparable and operable across different aspect-systems.
Word architecture: syn- + trop- + metry suggests a doctrine of measure and order of interconnected structural modes.
Related terms: subjective aspect, aspect-system, universal quantor, syntrix.

Subjective aspect

Source-near definition in Heim: The coordinated schema of dialectic and predicatrix by which a determinate logical space of expression is formed; in the register, the term appears as the ground-element of aspect-systems.
Explanation: The subjective aspect is the perspectival structure within which statements can be formed and interpreted at all. It is not a random psychological viewpoint, but a formal condition of statement-formation.
Related terms: descriptive aspect, primary aspect, system generator, aspect-field.

Descriptive aspect

Original definition in Heim: The subjective aspect used for the dialectical description of syntrometry.
Explanation: The descriptive aspect is the subjective aspect from which a syntrometric description is carried out. In Heim, this is exemplarily the aspect of mathematical analysis within anthropomorphic logic.
Related terms: subjective aspect, anthropomorphic syntrometry, aspect-system.

System generator

Original definition in Heim: A multivalent rule that lets a manifold of subjective aspects arise from one subjective aspect.
Explanation: The system generator is the rule of production of an entire aspect-order. It describes not a single aspect, but the way in which a whole field of further aspects is generated from one starting aspect.
Related terms: subjective aspect, primary aspect, aspect-field, aspect-system.

Primary aspect

Original definition in Heim: The subjective aspect transformed by the system generator.
Explanation: The primary aspect is the basic aspect arising from the original subjective aspect within the generated field.
Related terms: subjective aspect, system generator, metropy modulation.

Aspect-field

Original definition in Heim: A multiply infinite manifold of subjective aspects arising from a continuous system generator.
Explanation: The aspect-field is the totality of the subjective aspects generated by a continuous system generator. It is the field out of which concrete aspect-systems are formed.
Related terms: system generator, aspect-system, metropy.

Metropy

Original definition in Heim: Metric property of an abstract metaphorical space equal in dimension to the ambiguity of the system, whose points are the subjective aspects of the aspect-field.
Explanation: Metropy designates the metric structure of the metaphorical space in which the subjective aspects of an aspect-field are located. It joins aspect-multiplicity to formal structuring.
Related terms: aspect-field, metropy modulation, apodictics.

Metropy modulation

Original definition in Heim: Exchange-operation of the primary aspect.
Explanation: Metropy modulation describes the shift or transformation of the primary aspect within the metropic structure of an aspect-field.
Related terms: metropy, primary aspect, aspect-system.

Aspect-system

Original definition in Heim: System of the subjective aspects of an aspect-field.
Explanation: The aspect-system is the ordered structure of the subjective aspects of a field. It is one of the key units of syntrometry, because syntrometric statements are not supposed to be bound to a single aspect-system.
Related terms: aspect-field, aspect-complex, polyquantor, universal quantor.

Aspect-complex

Original definition in Heim: Totality of the possible partial aspect-systems and of the total aspect-system of a system generator.
Explanation: The aspect-complex includes both partial and total aspect-systems of one system generator. It is thus a higher-order gathering of possible perspectival orders.
Related terms: aspect-system, aspect-group, anthropomorphic intellect.

Aspect-group

Original definition in Heim: Totality of all aspect-complexes.
Explanation: The aspect-group is the highest gathering of the aspect-orders arising from system generators.
Related terms: aspect-complex, aspect-system.

Aspect-relativity

Source-near determination in Heim: The universality of syntrometric statements leads to aspect-relativity; it makes a syntrometric statement independent of a special aspect-complex, while at the same time requiring its validity within the anthropomorphic system of statements as well.
Explanation: In Heim, aspect-relativity does not mean arbitrariness, but the controlled independence of a statement from a particular aspect-complex.
Related terms: syntrometry, universal quantor, anthropomorphic syntrometry.

Syndrome

Original definition in Heim: Group of concepts of equal conditionedness.
Explanation: The syndrome is a group of conceptual elements sharing the same degree of conditionedness. It is a basic unit of syntrometric combinatorics.
Related terms: concept-category, synkolator, syntrix.

Concept-category

Original definition in Heim: The family of connected syndromes oriented by an episyllogism.
Explanation: The concept-category joins several syndromes into a conceptual order governed by an episyllogistic relation.
Related terms: syndrome, idea, category.

Idea

Original definition in Heim: A syndrome without conditionedness as the apex of the prosyllogism.
Explanation: In Heim, the idea is not a vague thought, but the unconditioned apex of a conceptual order.
Related terms: concept-category, category, metrophor.

Category

Original definition in Heim: Oriented conceptual system made up of idea and concept-category.
Explanation: The category is the ordered conceptual system built from unconditioned apex and conditioned concept-family.
Related terms: idea, concept-category, syntrix.

Apodictics

Original definition in Heim: Invariance of the semantics of conceptual elements with respect to a metropy-field.
Explanation: Apodictics denotes the semantic invariance of certain elements within a metropy-field. It provides the basis for Heim’s later quantor-concepts.
Related terms: functor, quantor, metrophor.

Functor

Original definition in Heim: Non-apodictic relation of concepts.
Explanation: The functor is a conceptual linkage without apodictic invariance. It is thus the precursor of the stricter quantoric connection.
Related terms: apodictics, quantor, polyquantor.

Quantor

Original definition in Heim: Apodictic predicative linkage of non-apodictic functors.
Explanation: The quantor is a higher-order linkage: it binds functors in such a way that the resulting connection acquires apodictic character.
Related terms: functor, polyquantor, universal quantor.

Polyquantor

Original definition in Heim: Predicative linkage with quantor-properties in several aspect-systems.
Explanation: The polyquantor is a quantor whose quantoric properties hold not only in one, but in several aspect-systems.
Related terms: quantor, truth-degree, universal quantor, aspect-system.

Truth-degree

Original definition in Heim: The degree of a polyquantor, that is, the number of aspect-systems in which the linkage has quantor-properties.
Explanation: Truth-degree counts in how many aspect-systems a polyquantor actually has quantoric character.
Related terms: polyquantor, universal quantor, aspect-system.

Universal quantor

Original definition in Heim: Polyquantor with divergent truth-degree.
Explanation: The universal quantor is the highest quantor-type in Heim. Its validity extends not merely over many, but over indefinitely many aspect-systems; for Heim, this is precisely what grounds the universality of syntrometric statements.
Related terms: polyquantor, truth-degree, syntrometry, syntrix.

Syntrix

Original definition in Heim: Formally precise analogue of the category.
Explanation: The syntrix is a formal neologism by which the philosophical category is recast in syntrometric precision. It is one of the central concepts of the entire syntrometry.
Word architecture: A coined Heimian term; a formally condensed counterpart to category.
Related terms: category, metrophor, synkolator, universal quantor.

Metrophor

Original definition in Heim: Schema of the apodictic elements of a domain as the formal analogue of the idea of the category.
Explanation: The metrophor is the schema of the apodictic elements of a syntrix. It plays for the syntrix a role analogous to that of the idea for the category.
Related terms: idea, syntrix, metrophor diameter.

Metrophor diameter

Original definition in Heim: Number of the apodictic elements.
Explanation: The metrophor diameter indicates how many apodictic elements the metrophor contains.
Related terms: metrophor, syntrix.

Synkolator

Original definition in Heim: An inductor acting as an inducer of syndrome-correlation stages, correlating the elements of a syndrome of a category or syntrix and thereby inducing a syndrome of higher conditionedness in the sense of an episyllogism.
Explanation: The synkolator is the operative correlation mechanism of syntrometry. It binds the elements of a syndrome so that a new syndrome of higher conditionedness is generated.
Related terms: syndrome, syntrix, synkolation stage, complex synkolator.

Synkolation stage

Original definition in Heim: Number of the argument-concepts of a synkolator.
Explanation: The synkolation stage indicates with how many argument-concepts a synkolator operates.
Related terms: synkolator, homometrality, heterometrality.

Synkolation course

Original definition in Heim: Functional dependence of the full syndrome-occupation on the running syndrome-number.
Explanation: The synkolation course describes how the full occupation of syndromes changes functionally as the syndrome-number proceeds.
Related terms: synkolator, syndrome closure, complex synkolator.

Syndrome closure

Original definition in Heim: Termination of the synkolation course after a finite syndrome-number.
Explanation: Syndrome closure designates the point at which a synkolation course ends after finitely many stages.
Related terms: synkolation course, pyramidal syntrix.

Complex synkolator

Original definition in Heim: Combination of different synkolators such that a functional relation exists between the acting synkolation-law and the running syndrome-number.
Explanation: The complex synkolator is the composite form of the synkolator. It combines several synkolation-laws into one functionally coordinated whole.
Related terms: synkolator, synkolation course, enyphan syntrix.

Pyramidal syntrix

Original definition in Heim: Syntrix with discrete syndromes.
Explanation: The pyramidal syntrix is a syntrix-form with discrete syndrome-layers.
Related terms: homogeneous syntrix, homogeneous fragment, syntrix.

Homogeneous syntrix

Original definition in Heim: Syntrix with homogeneous synkolation course.
Explanation: The homogeneous syntrix is a syntrix whose synkolation course remains homogeneous.
Related terms: pyramidal syntrix, homogeneous fragment.

Homogeneous fragment

Original definition in Heim: The remainder of occupations left in a homogeneous syntrix after separation of a pyramidal syntrix.
Explanation: The homogeneous fragment is the remainder of a homogeneous syntrix after removal of a pyramidal structure.
Related terms: homogeneous syntrix, pyramidal syntrix.

Band syntrix

Original definition in Heim: The metrophor-elements are bounded apodictic band-continua; the same therefore holds for the synkolations of the corresponding syndrome-occupations.
Explanation: The band syntrix is a syntrix-form in which the apodictic elements occur not as point-like units, but as band-like continua.
Related terms: syntrix, metrophor.

Homometrality

Original definition in Heim: In the synkolator, identical argument-concepts are possible; their number indicates the degree of homometrality.
Explanation: Homometrality denotes the possibility of identical argument-concepts within a synkolator.
Related terms: heterometrality, synkolator.

Heterometrality

Original definition in Heim: In the synkolator there are no identical argument-concepts (the degree of homometrality is 1).
Explanation: Heterometrality denotes the strict non-identity of the argument-concepts of a synkolator.
Related terms: homometrality, synkolator.

Synkolator symmetry

Original definition in Heim: The argument-concepts are permutable.
Explanation: Synkolator symmetry holds when the argument-concepts of a synkolator can be permuted.
Related terms: synkolator asymmetry, synkolator.

Synkolator asymmetry

Original definition in Heim: A number of argument-concepts, equal to the degree of asymmetry, is not permutable.
Explanation: Synkolator asymmetry holds when part of the argument-concepts cannot be permuted.
Related terms: synkolator symmetry, synkolator.

Syntrometry, Aspect-Systems, and Metalogic

Anthropomorphic syntrometry

Source-near determination in Heim: Heim explicitly states that the preceding syntrometric investigations are not bound to any specific aspect-system. Precisely for that reason, however, there must be an anthropomorphic syntrometry that is capable in principle of encompassing all forms of statement within the two-valued predicative anthropomorphic aspect-complex.
Explanation: Anthropomorphic syntrometry is the version of syntrometry explicitly referred to the human intellect and its forms of statement. It is not merely a side case, but the form in which syntrometric claims are articulated for the anthropomorphic domain of discourse.
Related terms: syntrometry, aspect-relativity, subjective aspect, quantity-syntrix.

Corporator

Source-near determination in Heim: The corporator is the basic element of syntrix corporations; Heim further distinguishes corporator class, concenter, excenter, corporator chain, and corporator simplex. The integrator also appears explicitly as a “multiplicatively coupling corporator.”
Explanation: The corporator is the operative linking concept by which syntrices, or their syndromes, are joined into higher syntrometric formations. It therefore belongs to the transition layer between simple syntrix structure and more complex corporated forms.
Related terms: corporation, concenter, excenter, corporator chain, enyphan syntrix.

Corporation

Source-near determination in Heim: Heim explicitly distinguishes cooperation as a corporation increasing statement-value and contraoperation as a corporation decreasing statement-value.
Explanation: Corporation denotes in general the syntrometric act of joining, coupling, or carrying syntrix structures over into a higher totality. It is broader than the single corporator and names the linking process itself.
Related terms: corporator, cooperation, contraoperation, conflexive syntrix, syntrix totality.

Concenter

Original definition in Heim: Corporator that corporates genuinely metrophorically from syndrome 0, that is, from the metrophor.
Explanation: The concenter is the corporator-form that proceeds from the metrophor itself. It thus belongs to the inner, metrophorically centered mode of corporation.
Related terms: corporator, excenter, metrophor, corporator simplex.

Excenter

Original definition in Heim: Corporator that corporates arbitrary syndromes pseudometrophorically.
Explanation: The excenter is the corporator-form displaced away from the metrophor. It is precisely through excentric corporation that conflexive syntrices arise.
Related terms: corporator, concenter, conflexive syntrix, syntropode.

Conflexive syntrix

Original definition in Heim: Syntrix produced by excentric corporation.
Explanation: The conflexive syntrix is a syntrix deformed or transformed by excentric corporation. It is important because Heim develops from it further notions such as conflexion field, syntropode, and later syntrometric formations.
Related terms: excenter, conflexion field, syntropode, syntrometric formation.

Conflexion field

Original definition in Heim: First corporated syndrome in a conflexive syntrix.
Explanation: The conflexion field marks the first point at which excentric corporation enters a syntrix structure.
Related terms: conflexive syntrix, syntropode, corporator.

Syntropode

Original definition in Heim: Totality of the syndromes before the conflexion field of a conflexive syntrix.
Explanation: The syntropode denotes that syndrome-domain of a conflexive syntrix that lies prior to the conflexion field. It is important because later syntrometric formations and enyphan syntrices act precisely on syntropodes.
Related terms: conflexive syntrix, conflexion field, syntrometric formation, syntrix tensorium.

Enyphan syntrix

Source-near determination in Heim: Heim explicitly distinguishes the discrete and the continuous enyphan syntrix. The discrete form is described as a syntrix of the totality to which a corporator chain of simplex-elements is coupled, so that the enyphan syntrix corporates elements of the totality into new syntrometric forms as a syntrix-like functor. The continuous enyphan syntrix is the discrete form corporated with an enyphane.
Explanation: The enyphan syntrix is an extended syntrix-form directed toward totalities and their transformations. It marks the transition from simple syntrix structures to more complex syntrometric formations and syntrix tensoria.
Related terms: corporator chain, syntrix totality, syntrix functor, syntrometric formation, syntrix tensorium.

Syntrix functor

Source-near determination in Heim: The discrete syntrix functor is a syntrix operation that corporates a determinate number of syntrices into a higher syntrometric formation; the continuous syntrix functor is a discrete syntrix functor with several enyphan-acting members.
Explanation: The syntrix functor is the operative transition-concept from syntrix to higher syntrometric formation. It is the proper functor of the corporation of several syntrices.
Related terms: enyphan syntrix, functor valence, syntrix transformation, metroplex.

Syntrometric formation

Original definition in Heim: Every conflexive syntrix whose syntropodes stand in the underlying totality.
Explanation: The syntrometric formation is the general designation for the higher forms generated by corporation out of conflexive syntrices within a totality.
Related terms: conflexive syntrix, syntropode, enyphan syntrix, syntrix tensorium.

Syntrix tensorium

Original definition in Heim: The infinite family of syntrometric formations arising from a conflexive syntrix by the action of an enyphan syntrix on one of its syntropodes.
Explanation: The syntrix tensorium is the totality of the syntrometric formations generated in this way. It is the corresponding metaphorical space of higher syntrix unfoldings.
Related terms: syntrometric formation, enyphan syntrix, syntrix space, syntrometrics.

Metroplex / hypersyntrix

Source-near determination in Heim: Heim first describes the possibility of gathering arbitrary syntrices into a metrophoric complex and allowing on this a complex synkolator built out of syntrix functors to act. Such a hypersyntrix, he then says, is to be called in the following a metroplex, namely a metroplex of first degree.
Explanation: The metroplex is the next higher organizational form above the ordinary syntrix. It arises where not merely the syndromes of one syntrix, but entire syntrices themselves enter a higher metrophoric and synkolative structure.
Related terms: hypersyntrix, syntrix functor, metrophoric complex, metroplex functor, metroplex combination.

Semantic iterator

Original definition in Heim: Rule of iteration and semantic evaluation as the dimensionalization of the singular metrophor-elements.
Explanation: The semantic iterator is the rule by which singular metrophor-elements are not only iterated, but also semantically evaluated and thus dimensioned. It therefore belongs to the bridge between formal structure and semantic determination.
Related terms: singular metrophor, semantic metrophor, anthropomorphic syntrometry.

Semantic metrophor

Original definition in Heim: Comprises the apodictic elements dimensioned by the semantic iterator.
Explanation: The semantic metrophor is the form of the metrophor extended through semantic iteration and valuation.
Related terms: metrophor, semantic iterator, apodictics.