Publication history: 2026-07-01

Details

• v466_seed_leptonmass_channel.py (SEED.LEPTONMASS.01). The seed over-determination of v306/v465 used five observables spanning three measurement sectors (neutrino mixing, CMB, quark mixing). This module adds the charged-lepton mass sector: the ratio m_e/m_\mu{=}\tfrac{12}{7}\varphi_0^2 is a sixth independent readout of the one axiom seed \varphi_0{=}1/(6\pi){+}48c_3^4. [E] plumbing: the axiom \varphi_0 reproduces the frozen m_e/m_\mu{=}\tfrac{12}{7}\varphi_0^2{=}0.00484673 to 10^{-9}. [N] new sector (headline): back-solving \varphi_0 from the measured pole ratio m_e/m_\mu{=}0.004836 (PDG 2024) gives \varphi_0{=}0.053113, only -0.11\% from the axiom — a fourth measurement sector beyond {neutrino mixing, CMB, quark mixing}. [C] transport caveat: the formula is the source ratio and the datum the pole ratio; the source\topole shift is the seam-gapped correction class (bound (2/3)^6{=}8.78\%, v393) but largely cancels for m_e/m_\mu, so the 0.11\% residual sits far inside the band — the channel is added as a consistent new sector, not a sharper pin. [N] extends: the six-channel cluster (v306's five + this) has \chi^2/\mathrm{dof}{<}1 and the error-weighted mean stays at the axiom to {<}0.1\%; with the corroborating heavy-quark m_t/m_b (-0.23\%) it is a seven-channel, five-sector agreement. [N] power: a data\leftrightarrowformula shuffle explodes the cluster \chi^2 by {>}100\times, and the scheme-ambiguous m_c/m_s{=}(34/47)/\varphi_0 (FLAG 11–14) is deliberately not counted. [C] honest: theoretically still the one seed (v305 multiplicity 1) — an empirical strengthening, not theoretical independence; \varphi_0 is fixed by the axioms, so it upgrades no prediction and closes no gate. Python-only (floats).
• Integration. Registered in run_all.py and script_registry.csv (cluster registry); ledger row SEED.LEPTONMASS.01; cited in tfpt_5_redteam (the seed-cross-validation firewall winbox, alongside v305/v306/v465); Python-only (flagged in the Wolfram README).

Details

• v465_seed_crosssector_joint.py (SEED.CROSSSECTOR.01). The sharpest falsifiable signature of a shared-origin theory is a correlation no non-shared-origin model predicts. In the Standard Model the cosmic-birefringence rotation \beta (a CMB EB/TB polarisation observable) and the Cabibbo angle \lambda_C{=}|V_{us}| (a quark-flavour observable) are unrelated; TFPT reads both as functions of the one axiom seed \varphi_0{=}1/(6\pi){+}48c_3^4. [E] plumbing: the axiom \varphi_0 reproduces the frozen \lambda_C, \sin^2\theta_{12}, \beta to 10^{-9}. [N] cross-sector (headline): back-solving \varphi_0 independently from \beta (CMB; ACT DR6 + Planck PR4 combined) and from \lambda_C (quark; PDG 2024) gives the same seed within 0.01\sigma_{\mathrm{comb}}. [N] one-parameter fit: the error-weighted mean of the three back-solved \varphi_0 reproduces the axiom to 0.06\%; the joint \chi^2 at the axiom (zero free parameters, 3 dof) is 0.007, \chi^2/\mathrm{dof}{<}1, combined pull 0.08\sigma. [N] \theta_{13} exclusion declared: adding \sin^2\theta_{13} raises \chi^2 by {\sim}4 (the documented {\sim}2\sigma pressure point, v328/v338), so this slice is the honest \theta_{13}-independent statement, not a hidden dilution. [N] power: a data\leftrightarrowformula shuffle explodes the cluster \chi^2 by {>}5{\times}10^4. A consistency / out-of-sample statistic (a subset of v306); \varphi_0 is fixed by the axioms, so it upgrades no prediction and closes no gate. Python-only (floats).
• Integration. Registered in run_all.py and script_registry.csv (cluster registry); ledger row SEED.CROSSSECTOR.01; cited in tfpt_5_redteam (the seed-cross-validation firewall winbox, alongside v305/v306) and in the origin_theory birefringence dependency chain; Python-only (flagged in the Wolfram README).