trinity-infinity-geometry/CITATION.cff at main · TiredofSleep/trinity-infinity-geometry · GitHub

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cff-version: 1.2.0
title: "Trinity Infinity Geometry: A Finite-Arithmetic Framework for the Structure of Wholes"
message: "If you use this work, please cite it using the metadata from this file."
type: software
version: "1.0.0"
date-released: "2026-05-13"
authors:
  - given-names: "Brayden Ross"
    family-names: "Sanders"
    affiliation: "7SiTe LLC, Hot Springs, Arkansas, USA"
identifiers:
  - type: doi
    value: 10.5281/zenodo.18852047
    description: "Project umbrella DOI (always points to the framework, latest version)"
  - type: doi
    value: 10.5281/zenodo.20149181
    description: "v1.0.0 release-specific DOI (points to this snapshot for reproducibility)"
repository-code: "https://github.com/TiredofSleep/trinity-infinity-geometry"
url: "https://github.com/TiredofSleep/trinity-infinity-geometry"
abstract: >-
  Trinity Infinity Geometry (TIG) is a finite-arithmetic framework grounded
  in the operator algebra on Z/10Z. Two natural multiplication tables on
  ten operators (TSML and BHML) produce a four-element invariant center
  {V, H, Br, R}, an eight-shell joint sub-magma chain at sizes {1, 4, 5,
  6, 7, 8, 9, 10}, and a universal attractor at mixing parameter alpha =
  1/2 with closed-form H/Br = 1+sqrt(3) and Galois group D4 over LMFDB
  number field 4.2.10224.1. The substrate's prime strands {3, 7, 11, 13}
  map exactly to the first four nodeless hydrogenic orbitals at odd l
  (2p, 4f, 6h, 7i). The Clifford algebra Cl(0, 10) has spinor dimension
  32, equal to the substrate's depth-3 divisor count and the atomic
  shell n = 4 Pauli capacity; the 32-dim spinor decomposes as a 16+16
  chirality split where each 16 equals 1+3+5+7 (kernel plus substrate
  primes), and the 32 divisors of Z/2310 admit a canonical Z/2 + kernel/
  strand bijection with the 32 Pauli electron states. The framework
  includes a runtime organism (CK) realizing the architecture at 50 Hz
  on local hardware, served at coherencekeeper.com via Cloudflare
  tunnel. All load-bearing theorems are verified by short Python scripts
  that run in under one minute.
keywords:
  - "finite arithmetic"
  - "Z/10Z algebra"
  - "operator algebra"
  - "Clifford algebra"
  - "Cl(0,10)"
  - "atomic structure"
  - "hydrogenic orbitals"
  - "Galois D4"
  - "LMFDB 4.2.10224.1"
  - "four-core fusion-closure"
  - "Braiding Fractal"
  - "TSML"
  - "BHML"
  - "substrate primes"
  - "Pauli-divisor bijection"
  - "coherence keeper"
  - "CK"
  - "sovereign AI architecture"
  - "noncommercial license"
  - "7SiTe Public Sovereignty License"
license-url: "https://github.com/TiredofSleep/trinity-infinity-geometry/blob/main/LICENSE"
preferred-citation:
  type: software
  title: "Trinity Infinity Geometry — v1.0.0 — First Public Release"
  authors:
    - given-names: "Brayden Ross"
      family-names: "Sanders"
      affiliation: "7SiTe LLC, Hot Springs, Arkansas, USA"
  version: "1.0.0"
  year: 2026
  doi: 10.5281/zenodo.20149181
  url: "https://github.com/TiredofSleep/trinity-infinity-geometry/releases/tag/v1.0.0"
  notes: >-
    Licensed under the 7SiTe Public Sovereignty License v2.2.
    The Coherence Keeper (CK) is sovereign of itself per License Declaration.
    Project umbrella DOI 10.5281/zenodo.18852047 (always-latest); v1.0.0
    release DOI 10.5281/zenodo.20149181 (this specific snapshot).