Constants and the nature ledger — index

RENDERED FROM STRUCTURED DATA — this page is not a markdown file. Source: gpt/knowledge/K20-constants-ratios-and-nature-ledger.json in uni-cookbook at 575fc93d9d31. The sha256 recorded for this page is the digest of that JSON, not of this text. The renderer is generators/derive_docs.cjs; it copies fields and adds no facts. Every value below is a field of the source, verbatim, including the ones that read NOT RUN and PENDING.

The machine-readable twin of encyclopedia/NATURE-LEDGER.md: the categorised view of NATURE's measured regularities as extracted from the NATURA wing. Constants, dimensionless numbers, scaling laws and frequencies are SELECTIONS from the 919-row ledger and each carries its ledger_row_id, so the two files are generated from one extraction pass and cannot disagree. EXTRACTION ONLY: no value here was invented, improved, averaged, rounded or completed; where a chapter carried a row without a source, with a withdrawn value, or with a class outside the six, it is carried AS WRITTEN. INADMISSIBLE entries are FIRST-CLASS CONTENT, not omissions — they are the receipts, and a wing that printed only its successes would be the storytelling problem it exists to counter.

Sovereignty rule — THIS FILE RECORDS NATURE'S REGULARITIES UNDER THE NATURA 12-VALUE VOCABULARY. It is SOVEREIGN FROM, and is NEVER MERGED WITH, encyclopedia/CLAIM-LEDGER.md — which records UNI's own BUILD STATUS under the UNI 4-value fence (proven / designed / hypothesized / not-yet-built) and the four-state ledger (PASS / FAIL / NEGATIVE / PENDING). THE CARDINAL RULE: A NATURE CITATION IS NEVER A UNI GATE. Reading Kleiber's law raises no UNI rung; citing Douady & Couder does not make any UNI claim 'proven' — that word is reserved for the UNI ledger and is never used here for nature's science. No entry in this file raises, lowers, or discharges any row in CLAIM-LEDGER.md, and no row there bears on any entry here. The two are cross-referenced BY EXPLICIT AUDITED LINK ONLY, NEVER BY MERGE: there is no operation that takes a NATURA row and a UNI row and produces a stronger row of either kind. The honest program position is untouched by every entry below: ~2 of 11+ developmental rungs earned; a developmental active-inference SIMULATION; a toy world, never a person. TRUE signals (falsifiable/reproducible/recalibratable) and HONEST signals (lived experience, never calibrated) also stay sovereign: a chakra-frequency table is INADMISSIBLE as physics and may be recorded as an HONEST/cultural signal — never as a TRUE/measured one, and never converted from one to the other. Crossing them is the cardinal sin. CORRECTED 2026-07-15-C, and the prior wording is kept here rather than silently replaced: this rule opened "THIS FILE RECORDS NATURE'S REGULARITIES UNDER THE NATURA 6-VALUE VOCABULARY" until this date, while evidence_classes in this same file already carried TWELVE class keys, registered by amendment 2026-07-15-A and recorded in evidence_classes._amendment_note. THE KEYS WERE RIGHT AND THE PROSE WAS STALE - a restatement that drifted from the thing it restates. This is the same defect class as the 52 chapter rows closed by amendment 2026-07-15-C: the amendment updated the structures its verifier could see and missed the prose describing them. The verifier checks that every registered class is DECLARED in this file; it did not check that the file's own summary of them counted them correctly, and a machine twin that miscounts its own vocabulary in the one sentence a reader starts from is worse than one that says nothing.

Nature as the authority — [object Object]

Evidence classes

• OBSERVED-REPLICATED — Measured, and independently replicated across labs, datasets, or taxa. Carries a real citation, a falsifier, and the known range. Worked example (NA-00): the Schumann resonance fundamental, ~7.83 Hz — predicted by Schumann (1952), first extracted from background noise by Balser & Wagner (1960), Nature 188:638-641, measured at ELF stations worldwide since. Note what the class does NOT buy: it licenses the FREQUENCY, not any claim attached to the frequency.
• OBSERVED-CONTESTED — Measured, but the community genuinely disputes the value, the exponent, or the mechanism. BOTH POSITIONS MUST BE CARRIED AND THE DISPUTE NAMED. This is a feature, not an embarrassment. Worked example (NA-00): the metabolic scaling exponent b. Kleiber (1932) reported ~0.74; Dodds, Rothman & Weitz (2001) found little evidence for rejecting 2/3; White & Seymour (2003) report 0.686 +/- 0.014. The exponent MOVES WITH THE ANALYSIS CHOICES — which taxa are excluded, whether body temperature is normalised, whether the regression unit is the species or the order. That mobility IS the dispute, and a chapter that picks one number and drops the other has lied.
• MODELED — Derived from a model that fits data. THE MODEL'S ASSUMPTIONS ARE THE FENCE. Worked example (NA-00): West, Brown & Enquist (1997) derive b = 3/4 exactly, from three assumptions — a space-filling fractal branching network, terminal units invariant with body size, and minimised energy dissipation. The derivation is clean. It is also conditional: drop any one assumption and the 3/4 does not follow. Cite it as MODELED and cite the assumptions with it, or do not cite it.
• HYPOTHESIZED — Mechanism proposed, not settled. Not claimed. Worked example (NA-00): the radical-pair mechanism of avian magnetoreception (Ritz et al. 2000; PNAS DOI 10.1073/pnas.0711968106). Radio-frequency disruption experiments are consistent with it; much of the supporting evidence remains circumstantial, and a competing magnetite-based hypothesis is live. Birds navigate; HOW is not settled.
• INADMISSIBLE — A claim that failed observation, or that is unfalsifiable as stated. Carried WITH THE RECEIPT OF WHY IT FAILED. NEVER ASSERTED, NEVER MOCKED. Worked example (NA-00): '432 Hz is nature's true tuning.' A4 = 440 Hz is a CONVENTION — ISO 16:1975 fixes it at 440 +/- 0.5 Hz, not a natural constant — and 432 Hz is a different convention. Neither is more natural, and the claim names no measurand that could distinguish them. Inadmissible as physics or biology. THE PERSON ASKING IS NOT STUPID; THE CLAIM IS JUST NOT SHAPED LIKE A CLAIM YET.
• NOT-MEASURED — The honest empty face. Write this INSTEAD OF INVENTING A NUMBER. Worked example (NA-00): the effect size of the Schumann resonance on human physiology at ambient field strengths. The fields are in the PICOTESLA range. No pre-registered, independently replicated dose-response was found. THAT IS NOT A REFUTATION — IT IS AN ABSENCE, AND THE ABSENCE GETS WRITTEN DOWN AS AN ABSENCE.
• OBSERVED-SINGLE — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 42 rows. Measured, by a method another party could repeat, but NO INDEPENDENT REPLICATION IS ON RECORD. One line of evidence: a single study, a single group, a single report, or a single chain through a review. It asserts the measurement and asserts NOTHING about corroboration. WHY IT EXISTS — the corpus's own words (CN-07): 'OBSERVED-REPLICATED asserts a replication that did not happen, and OBSERVED-CONTESTED asserts a dispute that does not exist. Both are false, in opposite directions.' Forcing an unreplicated result into either neighbour is a lie in a known direction. Worked example: CN09-26, N2-washout collapse depth in Tursiops truncatus ~70 m (Ridgway & Howard 1979, Science 206(4423):1182-1183) — real measurement, one group, never repeated. FALSIFIER (both directions live): an independent replication PROMOTES it to OBSERVED-REPLICATED; a failed one DEMOTES it to OBSERVED-CONTESTED (or SUPERSEDED if withdrawn). 'Nobody has tried' is a fact about the literature and is printed as one.
• MODELED-CONTESTED — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 1 row. Derived from a model AND genuinely disputed by the community. Both positions carried AND the model's assumptions named — the row must survive both tests, not one. Exists because the original six were treated as DISJOINT and are not: MODELED and OBSERVED-CONTESTED overlap in reality. Worked example: CN12-31, human behavioural throughput ~10 bit/s (Zheng & Meister 2025, Neuron 113(2), a Perspective — a literature synthesis, not a new experiment), contested by Sauerbrei & Pruszynski 2025, Nat Neurosci. MODELED alone hides the dispute; OBSERVED-CONTESTED alone claims a measurement nobody made.
• SUPERSEDED — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 3 rows. A value that WAS carried in the literature and has since been RETRACTED, WITHDRAWN BY ITS OWN AUTHORS, or CONTRADICTED by a calibrated re-analysis. Kept as THE RECEIPT FOR WHY IT MUST NOT BE CITED — never deleted, because deleting it is how a superseded number gets re-imported by the next reader who finds it in an old textbook. DISTINCT FROM INADMISSIBLE: an INADMISSIBLE claim was never shaped like a claim; a SUPERSEDED value was a good claim that lost. Worked example: CN01-34, f_bio,2008 ~2/3 of 4,300 minerals (Hazen et al. 2008), withdrawn by the authors themselves; its scope cell reads 'SUPERSEDED — DO NOT CITE'. ON THE NAME: these rows were originally written NEGATIVE. That string was deliberately NOT registered, because NEGATIVE is a UNI LEDGER STATE (PASS/FAIL/NEGATIVE/PENDING) and appears as such in NA-00's crosswalk. Registering it here would put one token in BOTH sovereign vocabularies — closing this defect by committing the exact lane-crossing the cardinal rule forbids. The wing's separate use of 'NEGATIVE' for a biomimetic design that failed its tuned baseline (M7) is untouched and stays UNI-side.
• NOT-SOURCED — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 20 rows. The chapter STATES A VALUE IT COULD NOT TRACE TO A SOURCE. Somebody measured it; this corpus could not find who. THIS IS NOT NOT-MEASURED, AND THE DIFFERENCE IS THE WHOLE POINT: NOT-MEASURED is an absence IN THE LITERATURE — a real, reportable fact about the world's knowledge. NOT-SOURCED is an absence IN THIS CORPUS'S OWN HOMEWORK — a fact about US, not about nature. Collapsing the two would let a research failure masquerade as a discovery about the frontier of science. NEVER MERGE THEM. Falsifier: produce the primary; the row is then re-classed on its merits (usually OBSERVED-SINGLE or OBSERVED-REPLICATED), or the value is struck.
• NOT-CONFIRMED — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 1 row. The primary source IS NAMED, at one remove — a secondary or tertiary work cites it — but the primary WAS NOT READ IN THIS PASS. The provenance chain is known and unwalked. Distinct from NOT-SOURCED, where no chain was found at all. Worked example: CN10-53, f_click B. trigona up to 4,500 Hz via a tertiary source citing Corcoran et al. 2009. Falsifier: read Corcoran et al. 2009 (Science 325:325-7) and confirm or strike.
• NOT-LOCATED — REGISTERED 2026-07-15 (amendment 2026-07-15-A); 1 row. A NAMED SOURCE WAS SEARCHED FOR AND DOES NOT APPEAR TO EXIST. The strongest of the three provenance fences: not 'we didn't look' (NOT-SOURCED) and not 'we didn't walk it' (NOT-CONFIRMED), but 'we looked, and it wasn't there.' Worked example: CN12-40, doctrine row 'D3-08' cited in the chapter's own commissioning brief; a grep of uni-onchip/design/ found no such row — the chapter reports the miss against ITS OWN BRIEF rather than quietly satisfying it. Falsifier: produce the row, or correct the citation.
• _provenance_fence_note — THE PROVENANCE FENCE, IN ONE LINE — four different failures, four different repairs, and ONE of them is nature's while THREE are ours: NOT-MEASURED = nature has not been asked. NOT-SOURCED = we cannot say who asked. NOT-CONFIRMED = we know who asked and did not read them. NOT-LOCATED = we checked, and the source named is not there. Never collapse them.
• _amendment_note — AMENDED 2026-07-15. This block carried SIX classes as designed; the corpus refuted 'six and only six' at 72 of 919 rows. It now carries TWELVE, in three groups: A/measured = OBSERVED-REPLICATED, OBSERVED-SINGLE, OBSERVED-CONTESTED; B/derived = MODELED, MODELED-CONTESTED, HYPOTHESIZED; C/fenced = INADMISSIBLE, SUPERSEDED, NOT-MEASURED, NOT-SOURCED, NOT-CONFIRMED, NOT-LOCATED. TWELVE IS A MEASURED PROPERTY OF THIS CORPUS, NOT A DESIGN TARGET. See class_vocabulary_amendment, and NA-00's Amendment record for the struck wording. Authority on the vocabulary is NA-00; this block is a restatement.

This ledger carries constants: 307 · dimensionless numbers: 23 · scaling laws: 68 · frequencies: 68 · inadmissible: 88 · open questions: 8. Each is a page of its own. The INADMISSIBLE rows are the point, not an appendix: they are claims the ledger's own rule rejected.