Hydrogen Matrix Lab / Report

Hydrogen, musical octaves, and alpha: checked results

Reference21 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Do hydrogen's Balmer lines, divided down by 2^40, land on musical notes more closely than a random tuning would? Does a pi expression equal inverse alpha?

02 / WHAT THE RECORD SAYS

Source passage

The proposed general musical law and geometric derivation of alpha are not established.

03 / LIMITS & OPEN POINTS

Source passage

The line selection and mapping are exploratory choices made with familiar data. Saving the protocol before computing its score is a local freeze, not external preregistration or fresh held-out validation.

04 / THE NEXT QUESTION

Source passage

Keep this mapping frozen and compare hydrogen with deuterium isotope shifts, specifying the transitions and score before retrieving the next dataset. Require predictions of the shifts, not just fresh nearest-note labels.

05 / CHECKS IN THE RECORD

Source passage

Ten unit tests passed. A separately written audit, importing none of the main implementation, reproduced the material calculations using 60-digit Decimal arithmetic, bisection for the air conversion, natural logarithms, and Machin's formula for pi. It checked the common-offset result by enumeration rather than piecewise integration.

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Associated files

results.json ↗
Public · 1,706 bytes
SHA-256: c1477dc1a66d1a3f1209f7084f85c6e66c37ff8d9526b85d8419b6f93fa21e58

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Access: Public
Dates declared in the record: Not recorded
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /Harmonic_Alpha_Results.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 21 Sept 2026 · saved
Status basis: r-c69c23892b03 calls itself 'Standalone exploratory study HARMONIC-ALPHA-01' and states 'No master theory or released engine was modified.' No later record in the corpus revisits it.
Size: 8,358 bytes
Word count: 1,177 words
SHA-256 of indexed source: c69c23892b03dfe40372d44c28d062b3607438a24c72a05fddcc8c5eab4243d2

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Hydrogen, musical octaves, and alpha: checked results
2026-09-21
d0re research record r-c69c23892b03
https://www.d0re.com/library/records/r-c69c23892b03.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: c69c23892b03dfe40372d44c28d062b3607438a24c72a05fddcc8c5eab4243d2