The Pentagon Physics publication queue — papers currently in build, review, or ready for submission. All Zenodo preprints are open access on publication.
Physics papers prove things. This book shows what those proofs mean. The Geometry of Becoming is the literary companion to the Pentagon Physics programme — written for readers who want to understand not just the equations but the conceptual revolution they represent.
The book follows the same derivation chain as the technical papers — from the single axiom σ = 1/(1+σ) through the emergence of geometry, matter, forces, and life — but in prose rather than formulae. Each chapter corresponds to a layer of the programme: the axiom, the field, the polytope, the filter, the forces, and finally the moment when self-reference becomes self-awareness.
The central argument: the universe is not made of stuff. It is made of self-reference expressing itself at every scale — from the fine structure constant to the structure of a cell to the act of reading these words. The geometry of becoming is the shape of that expression.
Approximately 550 paragraphs. Written to stand alone — no prior knowledge of physics required.
The Architecture paper is the pedagogical backbone of the programme. Where individual papers derive specific results, this paper teaches the system: how the axiom generates a field, how the field generates a polytope, how the polytope generates forces, masses, and constants.
Designed for physicists, mathematicians, and advanced students who want to understand Pentagon Physics as a coherent whole rather than encountering it one result at a time. The paper walks through every layer of the derivation chain with enough detail to reproduce the results independently.
The Pentagon Physics Programme paper is the capstone — the single document that presents the complete programme from axiom to Standard Model in one coherent derivation. It is the last paper to be published, because it cites every other paper in the corpus and cannot be finalised until all DOIs are live.
The paper has 14 sections following the derivation chain: the axiom, the discriminant, the field \(\mathbb{Q}(\sqrt{5})\), the 600-cell, the character table of 2I, the Galois selection rule, the gauge group D\(_4\), the force hierarchy, the particle masses, the cosmological sector, the nuclear sector, and the programme's implications for the foundations of physics.
The working title The Geometric Universe signals the central claim: the universe has a geometry, and that geometry is the 600-cell. All of physics — every particle, every force, every constant — is a feature of that geometry. The geometry does not describe the universe. The geometry is the universe.
The Nine Cells framework (the programme's nine conceptual layers from axiom to observation) will be folded in as a structural scaffold.
Full catalogue: 110 papers on the main page or directly on Zenodo →