Matter Harmony & observer banks / Report

At / Fr harmonic follow-up

Corrected21 Sept 2026 · saved

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01 / THE QUESTION

Editorial guide

Does the narrow At/Fr note-offset cluster seen after inspecting the element chart persist across additional measured At and Fr transitions?

02 / WHAT THE RECORD SAYS

Source passage

The original narrow alignment does not generalize as a common offset across the additional transitions examined.

03 / LIMITS & OPEN POINTS

Source passage

This is a calculation using published spectroscopic measurements. It is not a new laboratory experiment, proof of randomness, or a test of every transition or material state.

04 / THE NEXT QUESTION

Source passage

fix a dimensionless frequency-ratio relation and its tolerance for named transitions before inspecting additional measurements; then test another unused electronic series with proper treatment of fine/hyperfine and isotope structure.

05 / CHECKS IN THE RECORD

Source passage

Run python3 calculate.py, then python3 audit.py. Only Python 3.11+ standard-library features are needed for the calculation and arithmetic audit. python3 build_report.py additionally needs matplotlib. Source URLs and hashes are recorded; full third-party papers are not redistributed. If sources/Teigelhoefer2012.txt is available from pdftotext -layout on the linked thesis, audit.py also repeats the 45-branch PDF text check; otherwise it explicitly reports that check as unavailable. The included AUDIT.json records the completed source check for this run.

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Associated files

At_Fr_Followup.png ↗
Public · 177,138 bytes
SHA-256: 866b49c70a06ceec392866270821cadb7c854cfc107b31e2c6a541ad9d81aa0d

Following connections

Reality Render Engine — mathematical checkpointextends
as retained in the audited At/Fr input extraction
Passage from Reality Render Engine — mathematical checkpoint

Source & provenance

Access: Public
Dates declared in the record: Analysis date: 21 September 2026. Protocol: AT-FR-ALIGNMENT-03.
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /At_Fr_Followup_Report.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 21 Sept 2026 · saved
Status basis: r-07cef9ed332f corrects how this report's plot was presented: "That earlier plot should have labeled the deterministic coordinate dependence explicitly." The repeating slopes come from the log note mapping. The report's data and conclusions are kept.
Size: 15,960 bytes
Word count: 2,558 words
SHA-256 of indexed source: 03af7a213e276b078243fad6c78ec8fc1b4fe3fdb148f49f377ef89ba00779b5

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At / Fr harmonic follow-up
2026-09-21
d0re research record r-03af7a213e27
https://www.d0re.com/library/records/r-03af7a213e27.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 03af7a213e276b078243fad6c78ec8fc1b4fe3fdb148f49f377ef89ba00779b5