What the C60 Geometry Forces: An Honest Accounting of the Forced Count, with One Booked Prediction Loss

An earlier presentation of this framework carried the headline "zero free parameters — 206 constants verified." That headline does not survive honest accounting and is retracted here. What the C60 adjacency, read under Ih, actually forces is a definite but smaller thing: of 45 distinct physical targets, 35 are forced, 10 are conditional on named premises, and 0 are lost, where "lost" means a forced value contradicted by data in the same frame it was forced in. Separately, on the forward-prediction ledger — values staked before the measurement, which must never be summed with the first count — the framework has booked one loss: the solar mixing angle. The framework forces sin2θ12 = 1/(2+φ) = 0.27639. This is the golden-ratio solar mixing prediction, first stated by Kajiyama, Raidal and Strumia (2007) and realised in A5 family-symmetry models by Everett and Stuart (2009) and Feruglio and Paris (2011); in the current classification it is case B1A5. Since Ih ≅ A5 × Z2, the geometric route here and the flavour-symmetry route reach the same group, so we claim the independent rederivation and not the prediction. JUNO now measures 0.3036 ± 0.0064, and Petcov and Titov book B1A5 as disfavoured at 3.3σ from a full likelihood fit. The loss is shared with the entire A5 golden-ratio programme, which is the more informative statement: the evidence is not that this framework erred where others succeeded, but that A5 appears not to be the lepton flavour symmetry, and any construction forcing B1A5 inherits that. The paper gives the corrected count, the provenance of its denominator, the passenger test that decides whether a target belongs in the count at all, the results that are firmly forced, the ten conditional targets with their premises named, and the seven claims cut. It also records a near-miss the authors' own method rejected during revision: the two golden-ratio forms in the A5 literature bracket the measured angle and their geometric mean is exactly 1/(2φ) = sin 18° = 0.309017, which sits 0.02σ from the global value — and a base-rate enumeration shows 26 of 1299 simple φ-expressions land inside the same error bar, a 2.0% base rate, so the match carries no evidential weight and receives no label. It is an accounting, not a victory lap.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-27
DOI
https://doi.org/10.5281/zenodo.23715008
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

What the C60 Geometry Forces: An Honest Accounting of the Forced Count, with One Booked Prediction Loss

Jason Almasy
1 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

What the C60 Geometry Forces: An Honest Accounting of the Forced Count, with One Booked Prediction Loss

Jason Almasy
preprint en

Abstract

An earlier presentation of this framework carried the headline "zero free parameters — 206 constants verified." That headline does not survive honest accounting and is retracted here. What the C60 adjacency, read under Ih, actually forces is a definite but smaller thing: of 45 distinct physical targets, 35 are forced, 10 are conditional on named premises, and 0 are lost, where "lost" means a forced value contradicted by data in the same frame it was forced in. Separately, on the forward-prediction ledger — values staked before the measurement, which must never be summed with the first count — the framework has booked one loss: the solar mixing angle. The framework forces sin2θ12 = 1/(2+φ) = 0.27639. This is the golden-ratio solar mixing prediction, first stated by Kajiyama, Raidal and Strumia (2007) and realised in A5 family-symmetry models by Everett and Stuart (2009) and Feruglio and Paris (2011); in the current classification it is case B1A5. Since Ih ≅ A5 × Z2, the geometric route here and the flavour-symmetry route reach the same group, so we claim the independent rederivation and not the prediction. JUNO now measures 0.3036 ± 0.0064, and Petcov and Titov book B1A5 as disfavoured at 3.3σ from a full likelihood fit. The loss is shared with the entire A5 golden-ratio programme, which is the more informative statement: the evidence is not that this framework erred where others succeeded, but that A5 appears not to be the lepton flavour symmetry, and any construction forcing B1A5 inherits that. The paper gives the corrected count, the provenance of its denominator, the passenger test that decides whether a target belongs in the count at all, the results that are firmly forced, the ten conditional targets with their premises named, and the seven claims cut. It also records a near-miss the authors' own method rejected during revision: the two golden-ratio forms in the A5 literature bracket the measured angle and their geometric mean is exactly 1/(2φ) = sin 18° = 0.309017, which sits 0.02σ from the global value — and a base-rate enumeration shows 26 of 1299 simple φ-expressions land inside the same error bar, a 2.0% base rate, so the match carries no evidential weight and receives no label. It is an accounting, not a victory lap.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
What the C60 Geometry Forces: An Honest Accounting of the Forced Count, with One Booked Prediction Loss — Jason Almasy · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS