TOF REGISTRY ENGINEERING LOG
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| Natura: | Recurso digital |
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Zenodo
2026
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| _version_ | 1866901221721243648 |
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| author | Simpson, Brian |
| author_facet | Simpson, Brian |
| contents | <p>The Octomorphic Registry: A Finite-State Derivation of Physical and Chemical Law</p> <p>This repository contains a fully reproducible, parameter-free derivation of elemental identity, valence, and molecular structure from a finite topological registry.</p> <p>The Octomorphic Registry is an 84-state discrete system generated from the incidence geometry of the Fano plane augmented by a 2-bit lift structure. All physical properties presented here emerge strictly from graph topology, admissible transitions, and closure constraints—no empirical constants, fitted parameters, or external calibration are used.</p> <p>What this work does</p> <p>Constructs a deterministic 84-state registry from first principles</p> <p>Partitions the registry into eight residue blocks via a fixed capacity vector</p> <p>Enumerates admissible topological motifs (3-cycles and 4-cycles) under strict strain gates</p> <p>Derives elemental identity from motif census alone</p> <p>Proves Carbon’s uniqueness as the sole block containing a self-stabilizing core loop</p> <p>Derives Carbon’s valence (= 4) via an exact Maximal Independent Set computation</p> <p>Compiles Methane (CH₄) without invoking electrons, orbitals, or quantum chemistry</p> <p>Establishes molecular stability, bonding limits, and rigidity as topological inevitabilities</p> <p>All results are algorithmic outputs, not interpretive fits.</p> <p>What this work does not do</p> <p>It does not assume the periodic table</p> <p>It does not import chemical bonding models</p> <p>It does not rely on quantum mechanics, orbitals, or wavefunctions</p> <p>It does not fit experimental data</p> <p>It does not tune parameters</p> <p>Standard physics and chemistry appear only as downstream correspondences, never as primitives.</p> <p>Reproducibility</p> <p>The repository includes:</p> <p>Complete registry construction code</p> <p>Explicit adjacency and gate definitions</p> <p>Exact motif enumeration algorithms</p> <p>Brute-force Maximal Independent Set solvers</p> <p>Full execution transcripts for all phases</p> <p>An implementation-invariance appendix demonstrating code-independent results</p> <p>Any independent implementation respecting the stated constraints will reproduce the same outputs.</p> <p>Scope</p> <p>This artifact establishes the instruction set underlying matter.</p> <p>Later phases address lattice tiling (diamond/graphene), thermodynamics, electromagnetism, gravitation, and time as registry dynamics, but no speculative extensions are required to validate the core results.</p> <p>Intended audience</p> <p>Mathematical physicists</p> <p>Theoretical chemists</p> <p>Graph theorists</p> <p>Foundations-of-physics researchers</p> <p>Anyone interested in deterministic alternatives to parameterized physical models</p> <p>Status</p> <p>Frozen / Normative</p> <p>This release is an executable audit, not a proposal.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18490451 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | TOF REGISTRY ENGINEERING LOG Simpson, Brian <p>The Octomorphic Registry: A Finite-State Derivation of Physical and Chemical Law</p> <p>This repository contains a fully reproducible, parameter-free derivation of elemental identity, valence, and molecular structure from a finite topological registry.</p> <p>The Octomorphic Registry is an 84-state discrete system generated from the incidence geometry of the Fano plane augmented by a 2-bit lift structure. All physical properties presented here emerge strictly from graph topology, admissible transitions, and closure constraints—no empirical constants, fitted parameters, or external calibration are used.</p> <p>What this work does</p> <p>Constructs a deterministic 84-state registry from first principles</p> <p>Partitions the registry into eight residue blocks via a fixed capacity vector</p> <p>Enumerates admissible topological motifs (3-cycles and 4-cycles) under strict strain gates</p> <p>Derives elemental identity from motif census alone</p> <p>Proves Carbon’s uniqueness as the sole block containing a self-stabilizing core loop</p> <p>Derives Carbon’s valence (= 4) via an exact Maximal Independent Set computation</p> <p>Compiles Methane (CH₄) without invoking electrons, orbitals, or quantum chemistry</p> <p>Establishes molecular stability, bonding limits, and rigidity as topological inevitabilities</p> <p>All results are algorithmic outputs, not interpretive fits.</p> <p>What this work does not do</p> <p>It does not assume the periodic table</p> <p>It does not import chemical bonding models</p> <p>It does not rely on quantum mechanics, orbitals, or wavefunctions</p> <p>It does not fit experimental data</p> <p>It does not tune parameters</p> <p>Standard physics and chemistry appear only as downstream correspondences, never as primitives.</p> <p>Reproducibility</p> <p>The repository includes:</p> <p>Complete registry construction code</p> <p>Explicit adjacency and gate definitions</p> <p>Exact motif enumeration algorithms</p> <p>Brute-force Maximal Independent Set solvers</p> <p>Full execution transcripts for all phases</p> <p>An implementation-invariance appendix demonstrating code-independent results</p> <p>Any independent implementation respecting the stated constraints will reproduce the same outputs.</p> <p>Scope</p> <p>This artifact establishes the instruction set underlying matter.</p> <p>Later phases address lattice tiling (diamond/graphene), thermodynamics, electromagnetism, gravitation, and time as registry dynamics, but no speculative extensions are required to validate the core results.</p> <p>Intended audience</p> <p>Mathematical physicists</p> <p>Theoretical chemists</p> <p>Graph theorists</p> <p>Foundations-of-physics researchers</p> <p>Anyone interested in deterministic alternatives to parameterized physical models</p> <p>Status</p> <p>Frozen / Normative</p> <p>This release is an executable audit, not a proposal.</p> |
| title | TOF REGISTRY ENGINEERING LOG |
| url | https://doi.org/10.5281/zenodo.18490451 |