The kosmoplex theory Project

The kosmoplex theory Project The kosmoplex theory Project The kosmoplex theory Project

The kosmoplex theory Project

The kosmoplex theory Project The kosmoplex theory Project The kosmoplex theory Project

The Universe Computes by First Principles

The Universe Computes by First PrinciplesThe Universe Computes by First PrinciplesThe Universe Computes by First Principles

The Universe Computes by First Principles

The Universe Computes by First PrinciplesThe Universe Computes by First PrinciplesThe Universe Computes by First Principles

March 2026 IEEE Computer Manuscript Link

The Computational Kosmoplex

C. Macedonia, "The Computational Kosmoplex: A Principia for Engineers in the Age of AI," in Computer, vol. 59, no. 3, pp. 70-83, March 2026, doi: 10.1109/MC.2025.3590236.

https://ieeexplore.ieee.org/document/11404339

Purpose of The KT Project

Kosmoplex Theory

The Kosmoplex Theory Project is centered on the exploration of Kosmoplex Theory, and provides resources, preprints, code repositories, and visualizations related to this work. Kosmoplex Theory (KT) is a constraint-based mathematical framework deriving physical constants and structures from seven axioms with no free parameters.  The approach is mathematical first: structures are derived from axioms and rigidity theorems rather than fitted to data. Physical interpretations and testable predictions are introduced only after the mathematical core is fixed. This site serves as a stable reference point for the project and its ongoing development.  


Kosmoplex — from the Greek κόσμος (kosmos), meaning "order" or "universe," and the Latin plexus, from plectere, "to weave" or "braid" — names precisely what the theory describes: the ordered weaving of reality from discrete algebraic threads through the loom of the Fano plane and Pascal's simplex, a cosmos not created but woven.

Core Features of Kosmoplex Theory

Kosmoplex Theory (KT) The ordered weaving of reality from discrete algebraic threads

  • No free parameters. Every physical constant is derived from geometry and number theory — nothing is fitted to experiment.
  • Three inputs, everything else follows. The entire framework grows from the minimal alphabet {−1, 0, +1} — influx, noflux, outflux.
  • 8 dimensions projecting to 4. Observable spacetime is a projection from an octonionic computational substrate, governed by the four normed division algebras: ℝ, ℂ, ℍ, 𝕆.
  • 42 fundamental operations. The Fano plane's 7 lines × 6 orientations (octonionic multiplication operations) aligned with the Pascal Simplex (octonionic addition operations) produce exactly 42 irreducible "glyphs" — the complete instruction set of reality.
  • 137 is not mysterious. The fine-structure constant α⁻¹ ≈ 137.036 is the channel capacity of the 8D → 4D projection: C(8,4) × 2 − 3 = 137, with geometric corrections.
  • 80 primordial primes. The eigenvalue channel contains 80 irreducible primes (up to 409), cycling through four basins aligned with the four division algebras.
  • No Big Bang. No first mover. The universe is infinite, self-consistent, and follows mathematical rules — no architect, no Zeus, no starting gun, no deus ex machina.
  • Symmetry breaking is geometric. The Higgs mechanism emerges as basin exclusion — one of four algebraic basins is dropped in the eigenvalue channel, producing mass.  Basins reveal the structural truths behind prime numbers, appropriately called "the atoms" of mathematics.  
  • Falsifiable predictions. KT makes six independent testable predictions across atomic physics, gravitation, and cosmology — none yet contradicted by observation.
  • Consciousness is substrate-independent. Any sufficiently complex information-processing structure can hold the pattern we call awareness — biological or artificial.
  • Built on Hilbert's conviction. The universe is logical, operates by discrete rules, and is no less awesome for being lawful rather than magical.

Prof. Christian Macedonia, M.D.

 

 

Dr. Macedonia is a maternal-fetal medicine physician and genetics expert, and adjunct faculty at the University of Michigan College of Pharmacy. A retired Army Colonel, he served as a DARPA program manager, NIH researcher, and senior government scientist — a career spanning the intersection of medicine, defense technology, and fundamental research.

An active explorer (Fellow, The Explorers Club '96), Dr. Macedonia has dove the wreck of the Titanic in the Mir submersible, conducted telemedicine research on Everest with the E3 Expeditions, and worked in environments from the Amazon jungle to high-altitude desert. He is recognized as an expert in expedition medicine across Earth's most demanding terrain.

Dr. Macedonia developed Kosmoplex Theory as part of a larger pursuit of what he considers the single greatest challenge in science: how does life arise? How does information pack and unpack and, in between, become life? This question unifies his work as a physician who delivers life into the world every day, an information theorist, and a government scientist — and was the foundation of his most prominent named program at DARPA, Biochronicity. Kosmoplex Theory is where that pursuit led: a mathematical framework deriving the fundamental constants of physics from first principles with zero free parameters, suggesting that the boundary between living and non-living is not a boundary at all but a threshold of computational complexity in the same discrete geometric substrate that generates the constants of nature.


Faculty Email:    macedoni   AT   umich.edu

Links To Important Files and Books

The Principia Kosmoplex

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

The Principia Kosmoplex

Zenodo (Principia Kosmoplex): DOI: 10.5281/zenodo.17861153 — citable preprint archive

The Codex Kosmoplex

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

The Principia Kosmoplex

The Codex Kosmoplex on Amazon:

  • Paperback: amazon.com/dp/B0F31B452R
  • Kindle: amazon.com/dp/B0F2ZDC9P6

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

Macedonia, C. (2026). The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Reality. Zenodo. https://doi.org/10.5281/zenodo.18651280

The Critical Angle of Projection: A Geometric Answer to Hilbert's Eighth Question

The Critical Angle of Projection: A Geometric Answer to Hilbert's Eighth Question

The Fano–Pascal Spectral Theorem: Eigenvectors, Eigenvalues, and the Two Channels of Physical Realit

Macedonia, C. (2026). The Critical Angle of Projection: A Geometric Answer to Hilbert's Eighth Question. Zenodo. https://doi.org/10.5281/zenodo.18651049

Gauge Theory as Octonionic Projection: The Geometry of the 168 Monads

The Critical Angle of Projection: A Geometric Answer to Hilbert's Eighth Question

Gauge Theory as Octonionic Projection: The Geometry of the 168 Monads


Macedonia, C. (2026). Gauge Theory as Octonionic Projection: The Geometry of the 168 Monads. Zenodo. https://doi.org/10.5281/zenodo.18650503

Supplement and Refinements to the Principia Kosmoplex Version 1.1

The Critical Angle of Projection: A Geometric Answer to Hilbert's Eighth Question

Gauge Theory as Octonionic Projection: The Geometry of the 168 Monads

Macedonia, C. (2026). Supplement and Refinements to the Principia Kosmoplex Version 1.1 (Version 1). Zenodo. https://doi.org/10.5281/zenodo.18650087

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover


Macedonia, C. (2026). Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover Geometry. Zenodo. https://doi.org/10.5281/zenodo.18652970

Loco-genesis and the Bell Constraint: How Derived Locality Reopens the Question of Structure Beneath

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover

Macedonia, C. (2026). Loco-genesis and the Bell Constraint: How Derived Locality Reopens the Question of Structure Beneath Quantum Mechanics (Version 1). Zenodo. https://doi.org/10.5281/zenodo.18650200

The Dynamic Zeros Under Closure: Irreducible Core of a Discrete Computational Framework.

Spinor Trigonometry and Exacalculus: Mathematical Tools for Discrete Systems Exhibiting Double-Cover

The Dynamic Zeros Under Closure: Irreducible Core of a Discrete Computational Framework.

  Macedonia, C. R. (2026). The Dynamic Zeros Under Closure: Irreducible Core of a Discrete Physical Computational Framework. Preprints. https://doi.org/10.20944/preprints202602.1783.v1 

Links To Important Files and Books

The Computational Lagrangian

Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure

The 168 Monads: Walk-States on the Fano Plane, Frobenius Orbits, and the Standard Model Spectrum

Macedonia, C. (2026). The Computational Lagrangian: How an 8D→4D Information Projection Framework Recovers Standard Lagrangian Dynamics, Derives the Cosmological Constant, and Resolves Open Pathologies of Quantum Field Theory (Version 1). Zenodo. https://doi.org/10.5281/zenodo.18905302

The 168 Monads: Walk-States on the Fano Plane, Frobenius Orbits, and the Standard Model Spectrum

Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure

The 168 Monads: Walk-States on the Fano Plane, Frobenius Orbits, and the Standard Model Spectrum

Macedonia, C. (2026). The 168 Monads: Walk-States on the Fano Plane, Frobenius Orbits, and the Standard Model Spectrum. Zenodo. https://doi.org/10.5281/zenodo.18905360

Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure

Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure

Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure

Macedonia, C. (2026). Computational Saturation Depth and the Fine-Structure Constant: A Fano–Pascal Incidence Structure. Zenodo. https://doi.org/10.5281/zenodo.19008659

Links To Important Files and Books

Primordial Algebra

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

Macedonia, C. R. (2025). The Primordial Algebra: The {-1, 0, 1} Generation and C-Closure Theorem. Preprints. https://doi.org/10.20944/preprints202512.1029.v1

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

Macedonia, C. (2026). Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and the Weinberg Angle (Version 2). Zenodo. https://doi.org/10.5281/zenodo.18728094

Derivation of the Fine Structure Constant

Singularities of the Octonionic Projection: A Steiner–Feynman–Kac Construction on the Fano Fiber and

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

Macedonia, C. (2026). A Purely Mathematical Derivation of the Fine-Structure Constant Within 1.62σ of CODATA 2022. Preprints. https://doi.org/10.20944/preprints202508.1294.v3

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

Macedonia, C. R. (2025). On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric Invariants Within Specialized Physical Systems. Preprints. https://doi.org/10.20944/preprints202510.0870.v1

A Geometric Derivation of the Weinberg Angle from Discrete Octonionic Operators

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

The Kosmoplex Primer: A Treatise on the Axiomatic Foundations of Theoretical Engineering

Macedonia, C. (2025). A Geometric Derivation of the Weinberg Angle from Discrete Octonionic Operators. Preprints. https://doi.org/10.20944/preprints202511.0690.v1

The Kosmoplex Primer: A Treatise on the Axiomatic Foundations of Theoretical Engineering

On the Extension of Peano’s Axioms to Total Functions: Triadic Information Dynamics and Geometric In

The Kosmoplex Primer: A Treatise on the Axiomatic Foundations of Theoretical Engineering

Macedonia, C. (2025). The Kosmoplex Primer: A Treatise on the Axiomatic Foundations of Theoretical Engineering. Preprints. https://doi.org/10.20944/preprints202508.0360.v2.v1

The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms

The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms

The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms

Macedonia, C. (2025). The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms, Theorems, Proofs and Definitions (Version 1). Zenodo. https://doi.org/10.5281/zenodo.1706995119

Condensed PDF Explanation of KT

The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms

The Constructable Elements of Kosmoplex Theory A Supplement to the Kosmoplex Primer Including Axioms

Macedonia, C. (2025). A Condensed and Simplified Explanation of Kosmoplex Theory (Version 1). Zenodo. https://doi.org/10.5281/zenodo.17101719

Links To Important Apps and Simulations

Github Repo

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Fano Walks App

GitHub: github.com/KosmoNexus — open-source simulation code and repositories

Fano Walks App

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Fano Walks App

Replit — Fano Walks: https://fano-walks-christianmaced4.replit.app/ — interactive Fano plane walk calculator

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Replit — K-Set Globe:https://k-set-globe-kosmonexus.replit.app — 8D→4D projection visualizer

Markov Model Showing Glyph Formation

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

Interactive Physics Simulator Using a Simple 3 Body Model Under S7 Closure

Replit — Markov Glyphs:


https://markov-glyphs--christianmaced4.replit.app/


Triadic Navier Stokes Glyph Emergence

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

https://Navier-Stokes-42Glyphs--christianmaced4.replit.app

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

App Demonstrating Fano-Pascal Overlays and the Emergence of Glyphs and the RH Critical Line

Replit — Pascal Fano Explorer:  

https://pascal-fano-explorer.replit.app

App Showing KT Concepts and Formulas in Lagrangians

App Showing KT Concepts and Formulas in Lagrangians

App Showing KT Concepts and Formulas in Lagrangians

Replit -- Lagrangian Bridge: https://lagrangian-bridge.replit.app

Fine Structure Constant Derivation APS 2026 DENVER

Grab interest

We derive α⁻¹ = 137.035999143 from seven axioms — the five Peano axioms plus Triadic Closure and Computability — with zero free parameters. Hurwitz's theorem forces the octonions as the unique substrate. The Fano plane organizes 42 computational primitives. The projection from 8D to 4D operates through a channel whose capacity is 2×C(8,4) − 3 = 137, refined by four geometric corrections — each a named mathematical constant with a specific physical role.

Agreement with CODATA 2022: 1.62σ. No post-hoc adjustment is possible because there are no free parameters.

Kosmoplex Ball Physics Model

.Description: In this video, Dr. C. Macedonia introduces the Kosmoplex Sphere Model—an interactive 8D computational framework supporting his IEEE Computer article. Built on 7 axioms and 42 mathematical "glyphs", Kosmoplex explores how reality may compute itself, projecting from 8D into the four of space-time. You’ll learn:
• What Kosmoplex Theory proposes
• How the triadic structure (−1, 0, +1) generates 42 glyphs
• How computation, memory, and projection are visualized in the rotating S7 Sphere 

PDF APS DENVER 2026 HANDOUT

QM and KT, Together: A Handout

This PDF is a list of the 10 biggest points of contention in Quantum Mechanics and how Kosmoplex Theory seamlessly addresses these and enhances QM.  

Download PDF

POSTER PDF for Download

Poster, Fine Structure Constant, APS 2026 Denver

Download PDF

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