The project

The paper

• sg het — Spectral Geometry of Vacuum Entanglement on Q₃ and Q₄: Gauge Couplings, the Gravitational Constant, the Vacuum Expectation Value, and the String Tension. The bond coordinate, the gauge couplings and induced gravity on the cube and prism, and the vacuum scales from the master equation, the vacuum expectation value, the string tension, and the glueball.
• Quarks and Leptons, Part I — Spectral Geometry of Vacuum Entanglement: Quarks and Leptons, Part I. Direct vertex–edge spectral reads on the weighted prism Q₄ for the top quark, bottom quark, tau lepton and neutrino.

sg het (PDF) Quarks and Leptons I (PDF) Verification script (.py)

Status of this work

Harmonic Entanglement Theory is a proposed theory and is being worked on at this time. No claim is made for the validity of these works. The results set out here are the output of the construction described in the paper, and the verification script checks the internal consistency of that construction, that the geometry built from NetworkX with the paper's stated rules reproduces the matrices in the text and that those reproduce every derived number. It does not establish that the underlying physics is correct. The agreement with measured values reported on this site is presented as it stands, without a claim that the framework is established.

About the author

Acknowledgement

Anthropic's Claude (Opus versions 4.6–4.8) was used for computational combinatorics and algebraic derivations, Python scripting, and manuscript editing carried out interactively, and PocketCAS for iOS and NetworkX with NumPy in Google Colab to independently verify the matrix calculations. Theoretical direction was provided by the author.