Archive – Original Works and Documents by Burkhard Heim
This archive brings together a comprehensive and continuously growing collection of Burkhard Heim’s published and unpublished writings, lectures, manuscripts, historical documents, later reconstructions, and contemporary research contributions. Its long-term objective is to establish a well-organized and reliable resource for the study of Heim’s work and its subsequent development.
The archive is intended to offer more than a collection of documents and download links. Each major work is accompanied by an introduction explaining its contents, historical context, relationship to Heim’s theoretical program, and significance for further study. Wherever possible, we distinguish between Heim’s original writings, later editorial work, mathematical reconstructions, peer-reviewed publications, and independent theoretical developments.
The English archive begins with English-language sources, translations, and international research before introducing Heim’s original German writings. These original works form the historical foundation of the theory, while the accompanying English descriptions make their subjects and structure accessible to an international audience.
Our aim is to preserve the historical record, improve access to the sources, and support a careful scientific reconstruction of Heim’s comprehensive theoretical program. Documents are provided directly where publication rights permit; otherwise, we link to the corresponding official publications or authorized sources.
English Translations and International Research:
Elementary Structure of Matter – Summary by Heim
Burkhard Heim – Basic thoughts on a unified field theory of matter and gravity
Heim’s Theory of Elementary Particle Structures Auerbach und Ludwiger
Illobrand_von_Ludwiger-The_New_Worldview_of_the_Physicist_Burkhard_Heim
Antigravity based on Heim – Beck – MUFON Band 11-1993
Peer reviewed publications based on Heim Theory:
Elmar C. Fuchs and Astrid H. Paulitsch-Fuchs · 2026 · Peer-reviewed hypothesis paper · BioSystems 269, Article 105951 · 11 pages · English
How can biological organization emerge from nonliving matter? This fundamental question is at the heart of the study by Elmar C. Fuchs and Astrid H. Paulitsch-Fuchs. While prebiotic chemistry has identified numerous plausible pathways for the formation of organic molecules, the emergence of persistent, self-maintaining biological organization remains one of the major challenges in origin-of-life research.
The authors develop a hypothesis connecting Burkhard Heim’s concept of rheomorphic projection with the distinctive molecular dynamics of liquid water. Building on Heim’s proposed hierarchy of informational and organizational structures, they investigate whether water could act as a physical transducer through which small changes in the probabilities of molecular states might contribute to larger patterns of organization.
A central feature of the proposed mechanism is the complex, continuously changing free-energy landscape of liquid water. Hydrogen bonds are constantly formed, broken, and rearranged, allowing the system to explore many molecular configurations of similar energy. The authors suggest that weak probability biases might become amplified within this dynamically responsive environment, potentially generating transient forms of mesoscopic organization.
Such structures could influence local chemical reaction conditions and favor particular pathways of molecular association and self-organization. The paper discusses experimental studies of collective water dynamics together with quantum electrodynamic models of coherent water domains. These considerations are brought together in a five-stage conceptual framework extending from informational possibilities and water-mediated transduction to chemical selection and the potential stabilization of biological order.
The study does not claim to have experimentally established a new mechanism for the origin of life. Instead, it formulates a theoretical proposal intended to connect Heim’s ideas concerning probability, organization, and physical actualization with experimentally accessible questions in water physics, biophysics, and prebiotic chemistry.
By bringing these fields into dialogue, the article opens a new line of investigation into the relationship between molecular dynamics and the emergence of functional biological organization.
Open-access journal article · BioSystems 269 (2026), 105951 · DOI: 10.1016/j.biosystems.2026.105951
Thomas Warmann:
The generation of mass in a non-linear field theory
Thomas Warmann · 2022 · Journal article · Zeitschrift für Naturforschung A, 77(8), pp. 723–798 · English
In this extensive study, Thomas Warmann develops an approach to calculating the mass spectrum of elementary particles based on Burkhard Heim’s non-linear field theory and its underlying eigenvalue equations. The central idea is to describe spacetime and matter not as independent entities, but as different manifestations of a common polymetric geometry.
The paper reconstructs important elements of Heim’s mathematical framework, including the six-dimensional structure of the material world, its higher-dimensional embedding, and the relationship between geometric field equations and discrete eigenvalue solutions.
A major part of the investigation is devoted to deriving a mass formula in which elementary particles occupy hierarchically structured mass levels. The calculated spectrum includes charged leptons, mesons, baryons, heavy quarks, and massive bosons. Extensive numerical tables compare the theoretical results with experimentally measured particle masses.
For higher values of the principal quantum number, the resulting mass relations approach structures previously investigated in the phenomenological models of Nambu and Mac Gregor. Warmann’s work thus connects Heim’s geometrical field approach with recognizable regularities of the particle mass spectrum and establishes a concrete basis for further mathematical and physical investigation.
Journal publication: https://doi.org/10.1515/zna-2022-0018
The Standard Model and quantum state reduction from Heim’s field theory
Thomas Warmann · 2023 · Journal article · Zeitschrift für Naturforschung A, 78(6), pp. 481–497 · English
This paper investigates how important structures of the Standard Model of particle physics might be related to Burkhard Heim’s geometrical field theory. Starting from Heim’s six-dimensional spacetime framework and its polymetric representation of matter and gravitation, Warmann examines relationships between Lorentz symmetry, additional U(1) structures, and the internal symmetries associated with the Standard Model.
The investigation proceeds to the representation of bosonic fields and the mathematical structures of fermion and Higgs fields within Heim’s fundamental equations.
Particular attention is given to the coupling between geometrical structure and matter fields. Warmann relates the relevant field terms to Heim’s non-linear eigenvalue equation and investigates how the macroscopic limit connects to Einstein’s gravitational field equations.
The paper also considers a contribution arising in the non-relativistic approximation and discusses its possible relationship to quantum state reduction. In this way, the study brings together three central questions: the geometrical unification of matter and gravitation, the field structure of the Standard Model, and the transition from quantum possibilities to observed physical states.
A separate corrigendum published in 2025 provides a revised mathematical treatment of the group-theoretical relationships discussed in the original paper.
Journal publication: https://doi.org/10.1515/zna-2023-0023
Corrigendum (2025): https://doi.org/10.1515/zna-2025-0323
Particle masses from a non-linear field theory and magnetic charge
Towards a unified quantum theory of gravity and matter
Translation and work on the syntrometric maximtelecentric by an anonymous researcher:
The following works are part of an ongoing and highly active research effort to reconstruct, formalize, and further develop Burkhard Heim’s theoretical framework. They are evolving research manuscripts and working studies, not final scientific publications. Their mathematical, numerical, and physical conclusions should not be regarded as independently validated, peer-reviewed, or experimentally confirmed results.
Research is progressing continuously, and we intend to update these materials regularly as new calculations, mathematical developments, corrections, and insights become available.
For the latest research developments, ongoing discussions, and opportunities to contribute directly to the project, we invite you to join our Discord community.
Unifying Dimensions: Exploring Burkhard Heim’s Syntrometric Version May 18, 2025
Compiled Research Analysis · Expanded edition, 253 pages · May 2025 · English
Unifying Dimensions offers an extensive interpretative exploration of Burkhard Heim’s Syntrometry, combining a systematic examination of his original conceptual framework with connections to modern logic, mathematical structures, information theory, and models of consciousness.
The investigation begins with Heim’s method of reflexive abstraction from anthropomorphic transcendental aesthetics. It develops the structure of subjective aspects through Dialectic, Prädikatrix, and Coordination, followed by aspect systems, categories, apodictic elements, functors, and quantors. These foundations lead to the construction of the Syntrix as a generative structure of logical and semantic relationships.
Subsequent chapters explore syndromes, syncolators, Syntrix corporations, Corporators, pyramidal structures, and Enyphansyntrices. The analysis then proceeds toward Metroplex theory, nested structural hierarchies, syntroclinic bridges, and the televariant aeonic domain, examining how increasingly complex organizational structures might be understood within Heim’s broader framework.
A particularly interesting part of the study concerns anthropomorphic Syntrometry. The investigation connects quantitative structures, structural cascades, biological organization, and conscious experience with the wider question of how different domains of reality can be related without reducing them to a single descriptive level.
The expanded edition also examines possible conceptual connections with modern mathematical logic, Hilbert spaces, quantum projection operators, George Spencer-Brown’s Laws of Form, and information-processing models, including artificial neural networks. These comparisons are exploratory interpretations rather than established historical or mathematical equivalences.
The work provides a detailed conceptual guide to Heim’s Syntrometry and remains especially valuable for readers interested in its philosophical foundations, structural terminology, and possible applications beyond mathematical physics.
Unifying Dimensions Exploring Burkhard Heims Syntrometric Vision old version
Unified Field Theory – The MBB Lectures (1976) & Metron Calculations: Rigorous Explication of Non-Hermitian Manifolds, Dynamic Gravitation, and Spacetime Quantization
Anonymous research compilation · Autumn 2026 · Consolidated critical study edition · 144 pages · English
This revised and expanded study edition presents a systematic reconstruction of the physical foundations of Heim Theory, drawing upon Burkhard Heim’s historical MBB lectures of 1976, the two principal volumes of Elementarstrukturen der Materie, and additional mathematical sources. Its objective is to connect Heim’s major lines of theoretical reasoning within a coherent framework supported by contemporary mathematical explanations.
The investigation begins with Heim’s scientific methodology, his fundamental empirical principles, and the concept of the elementary matter-field quantum. It proceeds to an extensive treatment of dynamic gravitation, particularly the relationship between gravitational field sources, field energy, and Heim’s proposed mesofield.
A major part of the work concerns the geometrical structure of spacetime. The study examines non-Hermitian field structures, Cartan geometry, metric decompositions, and Heim’s extended equivalence principles. It subsequently investigates the development of the six-dimensional world structure through algebraic dimensional constraints and geometrical arguments.
The derivation of the Weltmetron as an elementary quantum of geometrical area provides the transition toward a discrete description of matter. The following chapters address metronic difference calculus, discrete summation procedures, selector algebra, metronic hyperstructures, and the mathematical treatment of the space compressor and space condenser.
The microphysical investigations describe elementary particles as dynamical condenser structures with internal configuration zones, spin, charge, and geometrical quantum numbers. The mass formula is examined in connection with the classification of stable elementary particles and excited resonance states. The study also addresses Heim’s approaches to the electron mass, the fine-structure constant, and elementary electric charge.
Further sections extend into cosmology, the development of the metronic world structure, the primordial sphere trinity, and the higher-dimensional framework R₁₂. These investigations also touch upon biological and organizational aspects of Heim’s larger theoretical program, including holomorphisms and the organization of living matter.
The concluding chapters develop polymetry, metronized geometry, and the master world selector, leading to the first metronic integral. Extensive tables, a systematic equation concordance connecting the MBB lectures with the later principal works, and a comprehensive terminology register make this study particularly useful for detailed research.
The consolidated 2026 edition provides a comprehensive mathematical companion to Heim’s physical program. It is a modern research compilation and should be distinguished from the historical lecture recordings and the original works authored by Burkhard Heim.
Syntrometrische Maximentelezentrik — A Modern Mathematical Reconstruction: Categorical Logic, Sheaf Semantics, and Fibrated Hierarchies
Anonymous research collective · August 2026 · 420 pages · English · Modern mathematical reconstruction
This extensive research monograph presents a systematic mathematical reconstruction of Burkhard Heim’s Syntrometrische Maximentelezentrik, using contemporary methods of mathematical logic, category theory, and formal structural analysis. Its central objective is to translate Heim’s original syntrometric concepts into precisely defined mathematical structures that can be examined, compared, and progressively developed within modern research.
Beginning with Heim’s analysis of subjective aspects, predicate structures, dialectic, and coordination, the study introduces a categorical framework based on Grothendieck toposes, sheaf semantics, and stratified modal logics. The Syntrix is investigated through colored operads and algebraic composition structures, providing the foundations for modern representations of Syntrix corporations, Corporators, Enyphansyntrices, and increasingly complex Metroplex hierarchies.
Subsequent chapters extend these constructions toward higher category theory, continuous structural descriptions, discrete metronics, and mathematical models of quantification. The investigation also considers how different levels of description might be related and how Syntrometry could contribute to a more comprehensive understanding of physical structure, organization, and experience.
Particularly valuable are the extensive terminology index, a systematic correspondence between Heim’s original equations and contemporary mathematical formulations, and a detailed research roadmap for progressive formalization using Lean 4 and Mathlib. The monograph explicitly distinguishes mathematical constructions, historical reconstruction, and proposed physical interpretations.
With fifteen main chapters and several technical appendices, this work provides a comprehensive modern research resource for the mathematical and philosophical development of Syntrometry.
A Modernized Syntrometric Logic Foundations and Applications older version
Synmetronik der Welt — Part C: Volumes I, II and III. A Modern Mathematical Reconstruction
Anonymous research collective · August 2026 · 207 pages · English · Modern mathematical reconstruction
This research monograph presents a unified modern mathematical reconstruction of the three volumes of Burkhard Heim’s Synmetronik der Welt. It brings together the deductive foundations of field mechanics, the geometrical architecture of the six-dimensional world, and the metronic structures developed in the later volumes, providing a systematic approach to understanding the mathematical progression of Heim’s comprehensive theory.
The first part begins with the foundations of classical and quantized field mechanics. Building upon variational principles, canonical mechanics, and relativistic field equations, the study reconstructs Heim’s approaches to gravitation, the mesofield, and non-Hermitian spacetime structures. These investigations lead to metric correlations, field correspondences, and the mesobaric synthesis of physical structures.
The second part develops the geometrical architecture of the six-dimensional world, aeonic coordinates, metric transformation relations, and the derivation of the Weltmetron as an elementary quantum of area. Further chapters examine metronic difference calculus, discrete selector operators, the space compressor and condenser, and the classification of Hermetry forms.
The third part addresses the Synmetrics of comprehensive world structures. Its central subjects include structural units, lattice kernels, spin selectors, condenser fluxes, complex coupling aggregates, and prototropic conjunctures. These concepts are translated into contemporary mathematical formulations and connected with questions of elementary particle structure, spin and charge properties, and cosmological evolution.
Extensive terminology registers, mathematical explanations, and cross-references help clarify the relationships between the three original volumes. The work is particularly valuable for researchers seeking to study Heim’s difficult Part C manuscripts as a coherent theoretical system and to investigate their geometrical and operational foundations using contemporary mathematical methods.
Elementarstrukturen der Materie – Volumes I & II: A Modern Mathematical Formalization of Burkhard Heim’s Unified Field Theory
Anonymous research study · 2026 · 184 pages · English · Modern mathematical reconstruction
This extensive research monograph presents a systematic mathematical reformulation of the two principal volumes of Burkhard Heim’s Elementarstrukturen der Materie (Elementary Structures of Matter). Its objective is to reconstruct the geometrical, algebraic, and metronic foundations of Heim’s original theory using contemporary methods of mathematical physics and to develop them within a coherent deductive framework.
The first part proceeds from Heim’s empirical starting principles through gravitation and the non-Hermitian structure of spacetime toward six-dimensional geometry and its embedding within a more comprehensive twelve-dimensional framework. Particular attention is devoted to metronic quantization: the elementary area quantum known as the Weltmetron, discrete difference calculus, selector algebra, and the formation of complex metric structures are investigated within a common mathematical setting.
The study subsequently examines the condensation stages of the world structure, the classification of Hermetry forms, and the geometrical description of elementary matter states. The analysis proceeds from possible field configurations to the selection conditions under which stable elementary structures are proposed to emerge.
The second part concentrates on the cosmological and synmetronic foundations of particle structure. Central subjects include the aeonic world, the interaction of different metric subspaces, field activation, condenser fluxes, and the complex internal organization of elementary particles.
An important objective is the reconstruction of Heim’s particle mass formula and its relationship to geometrical state variables, internal configuration zones, and discrete eigenvalue conditions. The monograph also contains elementary particle and resonance tables, investigations concerning neutrino masses and vector bosons, and supplementary mathematical derivations.
Extensive terminology registers, technical appendices, and a detailed equation concordance between the two original volumes provide a systematic guide through Heim’s physical framework, from its geometrical foundations to concrete problems of elementary particle physics.
The monograph is an independent modern reconstruction based on Heim’s original works, not a new edition of the books authored by Heim.
Effective Metronic Geometrodynamics: A Deductive Extension, Spectral Graph Formulation, and Rigorous Formalization of Heim Theory
Anonymous research study · Autumn 2026 · 255 pages · English · Consolidated edition, Revision 19
This extensive research monograph develops an independent mathematical approach to extending the physical foundations of Heim Theory. Its central objective is to investigate how Heim’s ideas of discrete spacetime geometry, elementary metronic structures, and geometrically represented states of matter might be formulated within a modern mathematical framework suitable for analytical and computational investigation.
The study begins by representing discrete geometrical structures through oriented graphs and simplicial complexes. Using Discrete Exterior Calculus and combinatorial Hodge-Laplacian operators, it examines differential structures, curvature, and geometrical field operators. Particular attention is devoted to the algebraic behavior of discrete difference operators, whose product rules differ from those of ordinary continuous differential calculus.
Building on these foundations, the monograph develops nonlinear operator equations for geometrical field states and investigates their solutions using methods from spectral graph theory and algebraic topology. Graph connectivity, harmonic cycles, topological invariants, and solitonic structures provide a mathematical language for examining possible stable field configurations.
Further chapters explore geometrical fiber structures, Kaluza-Klein reductions, massive vector fields, and the proposed relationship between discrete topological states and the properties of elementary particles. The computational treatment of complex state spaces incorporates techniques from tensor-network theory, including matrix product states and variational optimization algorithms.
A substantial part of the investigation concerns the reconstruction of particle masses, electromagnetic couplings, and internal symmetry structures. The study also extends toward gravitation, cosmological models, and possible astrophysical observables, including compact gravitational objects, gravitational-wave signatures, and galactic dynamics.
Extensive mathematical appendices, comparative tables, computational methods, and numerical investigations accompany the theoretical development. The monograph explicitly distinguishes formal mathematical constructions from additional physical hypotheses requiring independent empirical investigation.
Effective Metronic Geometrodynamics therefore represents a wide-ranging attempt to translate and further develop the geometrical foundations of Heim Theory through contemporary spectral, topological, and discrete mathematical methods, establishing new directions for analytical and computational research.
Chapter-by-Chapter Comparative Analysis – Part I: Foundational Preamble & Chapter 1: The Discrete Metronic Lattice, Cellular Sheaves, and Non-Leibniz Difference Algebras
Anonymous research study · Autumn 2026 · Revision 22 · 119 pages · English · Mathematical comparative and reconstruction study
This extensive research study examines the mathematical relationships between Burkhard Heim’s original field theory, Thomas Warmann’s analytical treatment of particle masses published in 2022, and the more recent research framework of Effective Metronic Geometrodynamics (EMG).
Its central objective is to investigate how the different mathematical approaches to Heim Theory might be related and developed from a common geometrical foundation. Heim’s original theory is based on a discrete metronic structure of spacetime, while Warmann’s published investigation develops an analytical approach through nonlinear field equations. The newer EMG framework additionally explores discrete geometry and spectral methods as possible foundations for a more comprehensive mathematical description.
A major subject is metronic difference calculus. The study examines the special algebraic properties of discrete derivatives and their relationship to ordinary differential calculus. Using Discrete Exterior Calculus, combinatorial Hodge theory, and simplicial complexes, it develops a mathematical framework in which geometrical field operators can be defined directly on discrete structures.
Building upon these foundations, the investigation addresses nonlinear eigenvalue problems, stable field configurations, and the mathematical representation of elementary particles. Methods from spectral graph theory, including Laplacian operators, algebraic connectivity, and topological invariants, are used to investigate possible relationships between geometrical structures and discrete state spaces.
Further sections examine geometrical fibrations, gauge theories, massive vector fields, gravitational couplings, radiation processes, solitonic solutions, and higher-dimensional extensions. The comparison also extends to elementary particle masses, cosmological structures, and numerical approaches to complex field configurations.
The monograph contains extensive mathematical derivations, schematic illustrations, comparative tables, and six technical appendices. Particularly valuable is its systematic examination of the relationships between different mathematical methods, allowing common starting points, distinct modeling choices, and possible connections to be investigated within a continuing reconstruction program.
The work thus provides a detailed foundation for further scientific dialogue between Warmann’s published analytical approach and contemporary investigations into discrete and spectral geometrodynamics.
Italian researchers:
iadicicco langella verolino – Power_Production_by_Gravitomagnetic_Effect_on_a_Rotating_Mass
english study aids:
Posdzech – maps to elementary structures
German Original Works by Burkhard Heim:
Books by Burkhard Heim
Syntrometrische Maximentelezentrik (Teil A+B)
Burkhard Heim · 2000 edition · 327 pages · German
This major work presents Burkhard Heim’s attempt to develop a general theory of structures, relationships, and organization extending beyond the limitations of exclusively two-valued and anthropocentrically defined logic.
Part A introduces the foundations of Syntrometry through the analysis of subjective aspects. Heim develops the concepts of dialectic, predicate structures, and coordination, followed by aspect systems, categories, apodictic elements, functors, and quantors. These investigations establish the conceptual basis for a more general description of structured relationships.
At the center of the work stands the Syntrix, a fundamental syntrometric structure whose combinations and transformations lead to syndromes, syncolation processes, and Syntrix corporations. Further chapters develop the concept of the Corporator, pyramidal elementary structures, complex Syntrix arrangements, and Enyphansyntrices representing dynamic structural fields.
The Metroplex theory extends this architecture to higher and hierarchically nested organizational levels. Heim subsequently investigates televariant aeonic structures, transcendence levels, and telecentric relationships.
Part B, Anthropomorphic Syntrometry, applies these general concepts to the quantifiable and experiential domains of human knowledge. It examines quantity structures, structural cascades, semantic iterators, and the transition toward discrete metronic mathematics. The final chapters introduce metronic elementary operations, selectors, and metronic hyperstructures.
An extensive terminology section and collection of formulas make this volume the principal original reference for Heim’s syntrometric conceptual system. It is particularly important for understanding the wider intellectual and mathematical ambitions of Heim Theory beyond its physical description of matter and gravitation.
Elementarstrukturen der Materie – Band 1
Burkhard Heim · 1998 edition · 319 pages · German
Volume I of Elementarstrukturen der Materie (Elementary Structures of Matter) establishes the mathematical and geometrical foundations of Burkhard Heim’s unified structural quantum field theory of matter and gravitation.
Heim begins with the question of how elementary particles can be understood as fundamental units of matter while possessing complex internal structures. His approach introduces the elementary matter-field quantum and seeks to describe physical particles and field quanta within a common geometrical framework.
Starting from conservation principles, quantization of action, and the known physical interactions, Heim develops a non-Hermitian description of spacetime and extends the conventional four-dimensional framework to a six-dimensional world structure, R₆, embedded within a more comprehensive twelve-dimensional framework.
A central development is the introduction of the Weltmetron, an elementary geometric unit of area. This leads to metronic mathematics, in which discrete elementary operations replace the unrestricted infinitesimal procedures of ordinary continuous calculus.
Further chapters develop selector operators, metronic tensor structures, higher-dimensional geometric configurations, and polymetric composition. Selectors are used to characterize the admissible structures of the metronic system, while polymetry provides a method for combining different metric partial structures into more comprehensive configurations.
The later sections investigate Hermetry forms, cosmological consequences, and the geometrical foundations of quantum phenomena.
Volume I thus provides the geometrical and operational foundation for the treatment of particle structures and mass spectra developed in Volume II. It remains one of the indispensable primary sources for any detailed mathematical study or reconstruction of Heim’s physical theory.
Elementarstrukturen der Materie – Band 2
Burkhard Heim · 1996 edition · 391 pages · German
Volume II continues the geometrical foundations established in the first volume and develops them into a more detailed description of elementary particle structures, their internal properties, and their mass spectrum.
The opening chapters investigate cosmological consequences of Heim’s geometrical theory, including the development of cosmic motion, the formation of reference structures, cosmogenesis, and the boundaries of space and time.
A central part of the volume is devoted to Synmetrics, the organization of metronic field structures, and the formation of stable elementary configurations. Heim introduces lattice kernels, spin selectors, Hermetry forms, and condenser fluxes in order to describe how complex metric structures might give rise to observable physical particles.
Further investigations concern correlations between partial structures, coupling aggregates, elementary spin and charge properties, and the internal organization of stable and unstable particle configurations.
Of particular importance is the separation of discrete partial spectra from a pseudocontinuous background of possible states. Through systems of geometrical structure parameters, selection conditions, and internal configurations, Heim develops classifications of elementary particles, including leptons, mesons, baryons, resonances, and neutrino states.
These constructions form the foundation of Heim’s approach to the elementary particle mass spectrum. Extensive mathematical expressions, classification procedures, and numerical results permit comparison between the theoretical structures and experimentally observed particle properties.
Volume II therefore represents the transition from the abstract geometrical architecture of the first volume to the concrete problem of particle classification and mass calculation. Together, the two volumes constitute the principal original source for Heim’s structural quantum field theory of matter and gravitation.
Burkhard Heim · 2012 collected edition · 271 pages · German
Mensch und Welt (Humanity and the World) brings together important writings that reveal the biological, anthropological, philosophical, and cosmological dimensions of Burkhard Heim’s theoretical program.
The collection includes Der kosmische Erlebnisraum des Menschen (The Cosmic Experiential Space of the Human Being), Der Elementarprozess des Lebens (The Elementary Process of Life), Postmortale Zustände? (Postmortem States?), and further reflections on human health, development, and the underlying structure of reality.
In these writings, Heim extends his structural approach beyond elementary particles and physical fields toward living organisms, biological evolution, population dynamics, and the organization of complex systems.
A particularly important theme is the distinction between Physis, Bios, Psyche, and Pneuma. These terms designate different domains of physical processes, biological organization, subjective experience, and mental or spiritual activity within Heim’s wider conception of reality. His investigations focus on how these domains might be connected without simply reducing one to another.
The biological sections examine the material conditions of life, organismic organization, heredity, evolution, and the role of entelechy. The anthropological writings consider the human experiential world, consciousness, the capacity for abstraction, and the relationship between individual experience and a more comprehensive structure of reality.
The later philosophical discussions extend toward questions of personal existence, higher organizational levels, and the possible continuation of individual structures beyond bodily existence.
This collected volume is especially valuable because it presents the broader horizon of Heim’s thought. It complements his mathematical and physical works with investigations into life, human experience, and the place of the individual within the wider cosmos.
Der Elementarprozess des Lebens
Burkhard Heim · Original work · German · Also included in Mensch und Welt (2012)
The Elementary Process of Life examines the material conditions, organizational principles, and evolution of living systems. Starting from empirical observations of organisms, Heim develops a model of hierarchically structured networks of interactions maintained through metabolism, regulation, and continuous structural actualization.
Particular attention is devoted to the evolution of populations in changing environments, vital entropy, and the role of entelechy in biological organization.
Further chapters investigate the conditions for carbon-based life, the special properties of liquid water, potentially life-supporting planets, and the interconnected structure of planetary biospheres.
This work provides an important foundation for Heim’s biological investigations, connecting the physical requirements of life with broader questions of organization, evolution, and the emergence of living systems.
Der kosmische Erlebnisraum des Menschen
Burkhard Heim · Lecture delivered in 1974, subsequently published · German
The Cosmic Experiential Space of the Human Being examines human existence within the wider structure of cosmic reality. Heim begins with the recognition that human worldviews represent limited, perspectival interpretations of a much more comprehensive reality.
He investigates what distinguishes human cognition, emphasizing the capacity for conscious abstraction and reflection.
Beginning with the physical foundations of reality, Heim develops an extended geometrical and cosmological framework, connects it with the elementary process of life, and examines the limits of human knowledge and cosmological description.
An important source for understanding Heim’s conception of the human being, his epistemological approach, and the intellectual transition from physical cosmology toward his later Syntrometry.
Burkhard Heim · Original work · German · Also included in Mensch und Welt (2012)
Postmortem States? – The Televariant Area of Integral World Structures is among Burkhard Heim’s most extensive philosophical and structural investigations. Its central question is whether a unified theory of reality could support conclusions concerning the persistence of personal structures beyond bodily death.
Heim develops his argument through the domains of Physis, Bios, Psyche, and Pneuma, examining holomorphisms, merisms, Metroplex hierarchies, Maximentelezentrik, and rheomorphic structural relationships.
An important feature is his methodological approach: Heim seeks to derive his conclusions through indirect logical reasoning based on a comprehensive structural theory, rather than relying upon reports of paranormal experiences.
The concluding chapters explore thanatosis, engram transcriptions, postmortem Metroplex combinations, and noograms. The work documents Heim’s theoretical conclusions regarding consciousness, personal identity, and death, rather than an empirically established demonstration of postmortem consciousness.
Books with the participation of Burkhard Heim
Walter Dröscher, Burkhard Heim: Strukturen der physikalischen Welt und ihrer nicht-materiellen Seite
Burkhard Heim, with contributions by Walter Dröscher · 2007 · Second revised edition · German
Structures of the Physical World and Its Nonmaterial Aspect extends Burkhard Heim’s geometrical theory of matter and gravitation toward a more comprehensive description of physical reality and its proposed nonmaterial background. Its central objective is to investigate how the six-dimensional structure of the material world can be embedded within a more extensive twelve-dimensional framework and what this extension might contribute to the understanding of physical processes.
Building upon Heim’s dimension law, the study examines additional informational and abstract structural domains beyond ordinary spacetime and the organizational coordinates of the six-dimensional world. While the concept of energy remains associated with the material domain, the additional coordinates of the extended hyperspace require a different interpretation.
A central subject is hyperspace dynamics. Heim investigates mappings between different subspaces and develops a hierarchy of projections through which informational and organizational structures could become expressed in the temporal development of the physical world. Particular importance is assigned to the structure of time as the mediating domain through which possible events acquire physical actualization.
The work also explores the geometrical description of fundamental interactions and the possibility of understanding quantum-mechanical probabilities within a more comprehensive structural dynamics. It thereby connects the geometrization of matter, the organization of physical processes, and the proposed nonmaterial background of reality.
This volume is one of the most important primary sources for the extended Heim Theory. It is particularly valuable for understanding hyperspace dynamics, rheomorphic projection, organizational and informational coordinates, and temporal actualization, and provides an important foundation for contemporary investigations into information, physical probability, and biological organization.
Burkhard Heim, Walter Dröscher, and Andreas Resch · 1998 · Introduction and scientific reference work · German
This jointly prepared introduction provides a systematic guide to the four-volume series Burkhard Heim: Einheitliche Beschreibung der Welt (Unified Description of the World). It combines a scientific contextualization of Heim Theory with concise summaries of the principal works and extensive terminology, equation, table, and general indexes.
In the opening section, Walter Dröscher places Heim Theory within the development of modern physics. The discussion covers relativity, quantum theory, elementary particle physics, and different approaches to unifying the fundamental interactions. This comparison helps clarify the distinctive methodology of Heim’s geometrically quantized field theory.
In the following sections, Burkhard Heim himself provides concentrated summaries of his principal physical works. He discusses the two complementary routes toward the fundamental geometrical structure, the separation of partial particle spectra, cosmological foundations, Synmetrics, and the geometrical description of elementary matter states. The extension toward a twelve-dimensional framework and the associated hyperspace dynamics are also introduced.
The extensive reference material is particularly valuable. The terminology index explains many of Heim’s specialized concepts, while the formula register brings together equations from the main volumes in a common reference system. A table index and a comprehensive general index facilitate the comparison of specific results and passages throughout the original works.
This book is therefore useful both as an introduction to Heim’s scientific program and as a permanent reference companion for the study of his mathematically demanding writings. The summaries written by Heim himself are especially important for understanding the intended structure and development of his overall theory.
Books about Burkhard Heim
Gerda Heim: Erinnerungen an den Physiker Burkhard Heim
Gerda Heim · 2002 · Biography and personal memoirs · Edited by Andreas Resch · 74 illustrations · German
Gerda Heim presents an intimate account of her husband Burkhard Heim’s life, documenting his childhood, the devastating laboratory accident of 1944, his physics studies, and the extraordinary circumstances under which he developed his scientific work.
Particularly valuable are the insights into Heim’s working methods, personal character, and the creation of his manuscripts. Gerda Heim supported his research for decades and played an essential role in preparing his writings.
Numerous historical photographs and personal documents accompany the memoirs. An obituary and bibliography by Andreas Resch complete the volume, making it one of the most important biographical primary sources on Burkhard Heim.
Horst Willigmann: Grundriss der Heim’schen Theorie
Horst Willigmann · 2002 · Resch Verlag · Systematic introduction · German
Willigmann presents a coherent introduction to the full scope of Burkhard Heim’s theoretical worldview. Beginning with the physical foundations, he explains the dimension law, six-dimensional geometry, the Weltmetron, Hermetry forms, and the geometrical description of matter.
The book also examines the twelve-dimensional extension and Heim’s distinction between Physis, Bios, Psyche, and Pneuma, connecting his physical theory with broader investigations into life, consciousness, and the proposed nonmaterial background of reality.
Its historical background is noteworthy: According to Andreas Resch’s preface, Heim reviewed the preliminary manuscript and recommended its publication. The book provides a valuable overview before approaching the mathematically demanding principal works.
Manuscripts by Burkhard Heim
Original-Manuskript Syntrometrische Maximentelezentrik Teil A
Original-Manuskript Syntrometrische Maximentelezentrik Teil B
Original-Manuskript Syntrometrische Maximentelezentrik Teil C1
Burkhard Heim · Original manuscript · 254 pages · German
Part C, Volume I – Synmetronik der Welt: Deductive Foundations, Gravitation, and the Mesobaric Structure
The first volume of Synmetronik der Welt marks an important transition from Heim’s general syntrometric investigations toward a comprehensive theory of physical fields, matter, and world structures. Its objective is to develop a deductive description of physical phenomena from a limited number of empirical starting principles.
The opening chapter establishes the mathematical and physical foundations through canonical field mechanics, quantization, macroscopic fields, quantum dualism, and state operators. Heim also considers the evolution of populations within changing biotopes, indicating the broader scope of his structural approach beyond exclusively physical processes.
The second chapter develops a heuristic theory of gravitation. Central subjects include gravitational field sources, approximated tensor fluxes, gravitational disturbances, the mesofield, and interactions involving mesofields. These investigations explore the relationship between field sources, their geometrical representation, and the dynamics of gravitational structures.
The third chapter, Synthesis of the Soma World, brings together the preceding results through the relativity principle of gravitational disturbances, gravitational field tensors, invariant structures, and correspondences between different field descriptions.
The concluding chapter introduces the mesobaric structure, investigating correlation tensors, correspondence potentials, stable correlation states, and the dynamics of their transformations.
Volume I therefore establishes an important connection between Heim’s syntrometric method and his attempt to develop a unified geometrical theory of physical reality. It provides the foundations for the more extensive geometrical, metronic, and synmetric investigations in Volumes II and III.
Original-Manuskript Syntrometrische Maximentelezentrik Teil C2
Burkhard Heim · Original manuscript · 262 pages · German
Part C, Volume II – Synmetronik der Welt: The Aeonic World, the Weltmetron, and Hermetry Forms
The second volume continues the deductive development of Heim’s world structure and establishes many of the geometrical and metronic concepts required for his subsequent description of matter and elementary particles.
Its opening chapter develops the aeonic world through world coordinates, transformation matrices, world tensors, and field equations. Heim investigates how different partial structures may be combined within a more comprehensive geometrical framework and how the additional coordinates participate in the organization and temporal actualization of physical states.
A central chapter is devoted to the Weltmetron, the proposed elementary quantum of geometrical area. Heim approaches this concept through the spatial projection of gravitational field structures, metric extrema, and the existence conditions of an elementary geometrical unit. These investigations establish the foundations for metronic mathematics and a discrete description of spacetime.
The following chapters examine the metronic condensation levels of the world structure. Topics include spin-oriented hyperstructures, state selectors, the space compressor and space condenser, the world selector, and the overall Hermetric architecture.
The final major section develops the theory of Hermetry forms. Heim distinguishes latent potentialities, imaginary and complex condensations, and different modes through which geometrical structures may become physically effective. These constructions are connected with aeonic actualization, cosmological movement, and the temporal organization of the world.
Volume II is particularly important because it connects the abstract geometrical architecture of Heim’s theory with the operational concepts of metronic quantization, structural selection, and field condensation. It provides the mathematical foundations for the detailed particle and cosmological investigations of Volume III.
Original-Manuskript Syntrometrische Maximentelezentrik Teil C3
Burkhard Heim · Original manuscript · 192 pages · German
Part C, Volume III – Synmetronik der Welt: Elementary Structures, Correlations, and Universal Cosmology
The third volume brings Heim’s Synmetronik der Welt toward its most detailed investigations of internal matter structures, geometrical correlations, and the comprehensive organization of the physical universe.
The opening chapter develops the Synmetrics of elementary structures. Heim introduces structural units and lattice kernels, investigates the activation of fields through spin-field selectors, and formulates the fundamental synmetric problem. The different Hermetry forms and their associated condenser fluxes provide the basis for analyzing the internal organization of matter-field quanta.
The following chapter examines correlations between complex coupling structures. Its central subjects include enantiostereoisomeric flux aggregates, prototropic conjunctures, conjunctor and straton spin, and complementary or antimatter-related structures. Heim uses these concepts to investigate the relationships between geometrical configurations and the characteristic properties of elementary particles.
Particular attention is devoted to minimal complex condensations and the determination of elementary physical quantities. In this context, the mathematical structure of the theory is connected with particle masses, electrical and magnetic properties, and the organization of fundamental states.
The final chapter extends these investigations into cosmology. Heim addresses the cosmological paradox, optical space segments, magnetons, limits of cosmic motion, correlations between cosmic evolution and spatial structure, and the boundaries of space and time.
The volume concludes with the prototropic structure of the universe, bringing together the preceding investigations into a hierarchy of increasingly comprehensive world structures.
Together, the three volumes of Synmetronik der Welt represent an exceptionally ambitious part of Heim’s original research. Volume III completes the progression from foundational field mechanics and discrete geometry toward the proposed internal structures of matter and the organization of the universe as a whole.
Works by Burkhard Heim
ZNA-1977-32a-0233 Heim Vorschlag einheitliche Beschreibung Elementarteilchen
Burkhard Heim · 1977 · Journal article · 11 pages · German with English abstract
This article, originally published in Zeitschrift für Naturforschung A, provides one of the most concise published presentations of Burkhard Heim’s unified physical theory.
Heim begins with a small number of fundamental empirical principles, including conservation laws, extremal principles, the quantization of action, and the existence of gravitational and electromagnetic interactions. His objective is to develop a unified description of the material world in which the fundamental structures of matter and their physical interactions emerge from a common theoretical foundation.
The investigation proceeds from an extended theory of gravitation and a non-Hermitian spacetime structure toward a six-dimensional geometrical framework. Within this framework, matter and spacetime are treated as interconnected metric structures rather than fundamentally separate entities.
Heim introduces the necessity of a polymetric structural description and connects the properties of elementary particles with a non-linear eigenvalue problem. Stable particles appear as discrete states within a more comprehensive spectrum of possible field configurations.
Particle mass, electric charge, spin, lifetime, and decay are consequently considered in relation to the internal geometrical and dynamical structure of the elementary configurations.
Despite its relatively short length, this article introduces many of the central ideas developed in greater mathematical detail in Elementarstrukturen der Materie. It is therefore an excellent starting point for readers wishing to understand the general physical argument before approaching the two main volumes.
Das Prinzip der Dynamischen Kontrabarie
Der Elementarprozeß des Lebens von Burkhard Heim
Magnetismus Gravitation und Gravitationsgrenzen Burkhard Heim 1960
Magnetfeld und Drehimpuls B Heim 1981
…
Works on Heim Theory
Feldtheorie Heim + Prinzip Kontrabarie IvL IGAAP 2017 2-seitig
Erläuterung Heim Kontrabarie IvL MUFON 2007
Zur_Herleitung_Der_Heimschen_Massenformel
Works of the Former Heim Theory Working Group (ca. 2000–2006)
This group of documents belongs to the later work of the former Heim Theory working group and the Research Group Heim’s Theory / IGW Innsbruck. These texts are not original writings by Burkhard Heim himself. Rather, they are later introductions, derivations, computational reconstructions, result summaries, and clarifying documents that emerged from the effort to preserve, explain, and further work through Heim’s theory in the early 2000s. The main materials date from around 2002–2004, with the clarification document extending this line into 2006. Unless a document is explicitly marked (EN), it is available in German only.
A — Introduction to Heim’s Mass Formula (Short Version)
Former Heim Theory Working Group · 5 pages · German
A concise introduction to Heim’s six-dimensional polymetric structural theory and the geometrical foundations of his particle mass formula. It outlines the extension of Einstein’s field equations toward microscopic eigenvalue problems, discrete metronic geometry, and the proposed calculation and classification of elementary particle masses.
An excellent first mathematical overview before approaching the detailed derivations.
B — Remarks on the Physicist Burkhard Heim
Former Heim Theory Working Group · 2 pages · German
A brief historical account of Burkhard Heim’s scientific career and the reception of his work. It discusses his early spaceflight lectures, the development of his unified field theory, major publications, and the difficulties surrounding the dissemination of his mathematically demanding research.
Particularly valuable as a historical assessment by the former working group, complementing the principal biographical sources.
C — On the State of Elementary Particle Physics
Illobrand von Ludwiger · 11 pages · German
This study places Heim Theory within the broader development of elementary particle physics and geometrical field theories. It examines the Standard Model, quarks, fundamental interactions, and alternative approaches to the geometrization of matter, including Einstein’s field theory, Riemann-Cartan geometry, and geometrodynamics.
The document reflects the scientific comparative perspective of the working group around 2003, rather than the current state of particle physics.
D — On the Derivation of Heim’s Mass Formula
Illobrand von Ludwiger and K. Grüner · IGW Innsbruck, 2003 · 81 pages · German
The most extensive mathematical study in this collection. It reconstructs the development from Heim’s six-dimensional field equations to the elementary particle mass formula.
Central subjects include polymetric geometry, Hermetry forms, condenser fluxes, spin, isospin, helicity, and antimatter structures. Further chapters examine elementary charge, the fine-structure constant, particle masses, resonances, and neutrino states.
An important technical reference for understanding the former working group’s historical mass calculations and their mathematical foundations.
E — Mass Formula A
Burkhard Heim · Original material from 1982, preserved by the working group · 10 pages · German
A reproduction of Burkhard Heim’s original 1982 manuscript concerning the implementation of his particle mass formula. It documents structural parameters, quantum numbers, and selection conditions used to classify elementary matter states.
An important historical primary source for comparing the original formulation with subsequent calculations and extensions.
F — Mass Formula B
F (EN) — Heim’s Mass Formula B
Based on Heim’s 1989 manuscript · Working-group edition, 2002/2003 · 11 pages · German
This document presents Heim’s extended particle mass formula of 1989, addressing ground states, resonances, particle lifetimes, neutrino masses, and the fine-structure constant.
It explains the changes from the 1982 formulation and documents the working group’s subsequent partial reimplementation, including uncertainties in reconstructing certain mathematical expressions.
An essential source for tracing the historical development and computational transmission of Heim’s mass formula.
G — Selected Results
Former Heim Theory Working Group · 2003 · 13 pages · German/English
A collection of numerical results and comparisons with experimental particle data, including quantum numbers, theoretical and measured particle masses, meson and baryon resonances, particle lifetimes, and the sensitivity of calculations to the gravitational constant.
A valuable historical benchmark for modern computational verification. The experimental reference values reflect the data available at the time.
H — Bibliography
Former Heim Theory Working Group · Bibliography compiled around 2003 · 4 pages
The bibliography accompanying the former working group’s research documentation. It brings together sources on Heim Theory, relativity, quantum theory, geometrical field approaches, elementary particle physics, and gravitation.
Useful for reconstructing the scientific literature underlying the historical investigations and tracing references to earlier theoretical developments.
Chapter D — Clarifications on Heim Theory
W. Dröscher, K. Grüner, I. von Ludwiger, and A. Müller · Munich/Innsbruck, June 2006 · 55 pages · German
An important mathematical continuation of Heim Theory by the former working group. The document addresses open derivational questions, mathematical assumptions, and clarifications concerning Heim’s geometrical field theory.
Central subjects include nonlinear eigenvalue equations, their relationship to Einstein’s field equations, polymetry, the transformation properties of affine connections, and Hermetry forms. Further sections examine Heim’s particle mass formula and the mathematical conditions underlying its application.
Six technical appendices develop the derivation and solution of the eigenvalue equations, their connection to classical gravitation, and the tensorial foundations of the extended geometry.
An especially valuable source for understanding the mathematical refinement and subsequent development of Heim’s original theory.
German Study Aids:
Posdzech – Landkarten zu Elementarstrukturen
Newspaper and Articles about Burkhard Heim
Senkowski 1984 – Paraphänomene Heim Theorie
Zum Tode des Physikers Burkhard Heim Ludwiger
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Archive editorial status: October 2026. The archive is continuously being expanded and updated. Particular attention is given to the systematic documentation and contextualization of historical primary sources, their different editions and versions, and ongoing mathematical reconstruction research.
