Hydrogen Matrix Lab / Audit

Hydrogen Matrix Lab 0.7.0 — golden-ratio exactness audit

Earlier indexed version20 Sept 2026 · saved

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01 / THE QUESTION

Source passage

Where does the golden ratio genuinely occur in the current framework, and which apparent alignments are imposed choices or numerical coincidences?

02 / WHAT THE RECORD SAYS

Source passage

This matters for the Theory of Reality's fixed-grid/fixed-tick hypothesis: it must choose between an exactly finite angular state space and an exact golden rotation, or specify a larger algebraic/infinite-precision state representation.

03 / LIMITS & OPEN POINTS

Source passage

A decimal near-match after searching many ratios is not an admissible prediction.

04 / THE NEXT QUESTION

Source passage

First derive one dimensionless golden prediction from a declared Hamiltonian or projection operator that was not used to choose the model.

05 / CHECKS IN THE RECORD

Source passage

- Written mathematics: exact $\mathbb Q(\sqrt5)$ identities; Fibonacci eigenvalue; ideal-hydrogen rationality exclusion; finite-grid irrationality exclusion. - Finite computation: 303,809 gap-pair comparisons, Fibonacci convergence table, icosahedral distances, and 144-point golden-angle prefix. - Independent computation: a separate scalar implementation imports none of the production module and passes nine checks, including an independent exhaustive hydrogen scan. - Measured evidence: only the cited external experiments; this release performs no new physical measurement.

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Associated files

GOLDEN_RATIO_PROTOCOL_0.7.json ↗
Public · 1,716 bytes
SHA-256: 4f794236f5b5489357adda436dacc59fc6fb5ac932769a513e16a9e261eb1020

Previous connections

Hydrogen Matrix Lab 0.6.0 — conserved flow and observable harmonicsseries order (mechanical)

Following connections

Hydrogen Matrix Lab 0.8.0 — forward observable compilerseries order (mechanical)

Source & provenance

Access: Public
Dates declared in the record: Not recorded
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /The Theory of Reality/Hydrogen Matrix Lab/RESULTS_0.7.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 20 Sept 2026 · saved
Status basis: mechanical v0: a later release exists in hydrogen-matrix-lab
Size: 6,345 bytes
Word count: 807 words
SHA-256 of indexed source: 51077294ef695cf66978d69b1ae4dd9d5d777f08deea071a0982e2e41b00f8de

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Hydrogen Matrix Lab 0.7.0 — golden-ratio exactness audit
Version 0.7
2026-09-20
d0re research record r-51077294ef69
https://www.d0re.com/library/records/r-51077294ef69.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 51077294ef695cf66978d69b1ae4dd9d5d777f08deea071a0982e2e41b00f8de