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Original ledger classification: Data confrontation (kill-test) [X]/[O]
Recorded statement: UNIFICATION DATA CROSS-CHECK (2026-06-17): the honest data-confrontation kill-test for the spectral-action prediction (CONTRACT.QFT4D.01, v244/v245). Does the boundary condition g1=g2=g3, sin^2 th_W=3/8 at the unification scale survive…
Statement, assumptions and sources
Paper context: tfpt anschluss zellen seam 2026-09-14
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QFT4D.RGTEST.01
Original ledger classification: Data confrontation (kill-test) [X]/[O]
Original claim text
UNIFICATION DATA CROSS-CHECK (2026-06-17): the honest data-confrontation kill-test for the spectral-action prediction (CONTRACT.QFT4D.01, v244/v245). Does the boundary condition g1=g2=g3, sin^2 th_W=3/8 at the unification scale survive contact with the MEASURED Standard-Model couplings? Answer: NOT in the plain SM. Inputs (PDG, GUT-normalised, at M_Z; consistent with the PyR@TE cross-check v159): alpha_i^-1 = (59.01, 29.59, 8.47), SM 1-loop betas b=(41/10,-19/6,-7), sin^2 th_W(M_Z)=0.23122. (1) [E] the prediction: at Lambda, alpha1=alpha2=alpha3 and sin^2 th_W=3/8. (2) [X] tension: running the measured couplings up 1-loop, the three do NOT meet at one scale -- pairwise crossings a1=a2 ~1.0e13, a1=a3 ~2.4e14, a2=a3 ~9.9e16 GeV (~4 decades spread), residual spread at 2e16 GeV Delta(alpha^-1) ~ 8.8. (3) [X] sin^2 th_W: predicted 3/8 vs measured 0.23122 (the known few-percent non-SUSY shortfall). (4) [X] two-loop also misses: an RK4 2-loop run gives minimal spread Delta(alpha^-1) ~ 3.2 at mu ~ 1.7e14 GeV (never a common point), ~8.7 at 2e16. (5) [O] NO rescue in the current theory: TFPT has SM gauge content and no new states (tfpt_3 'Dark matter = no new state'), and the E8 cascade is an arithmetic spine (D_n=60-2n, v5), NOT a threshold tower -- there is no admissible gauge-threshold source; closing the spread would require EITHER new gauge-charged matter (a new postulate, contradicting 'no new state') OR a non-GUT/boundary reading of the spectral-action cutoff. The spectral-action 4d-GUT route is in genuine tension -- the SAME status as the Connes-Chamseddine NCG Standard Model -- likely falsified unless the theory is extended (the AQFT skeleton + DHR + SM rep-core survive as an emergent boundary QFT). Typed [X]/[O], NEVER [E]-as-success; the tension IS the result
Original classification detail
[X] plain-SM run misses unification at 1- and 2-loop (1-loop spread ~9; 2-loop min spread ~3.2 at 1.7e14) and sin^2 th_W 3/8 vs 0.231; [O] no admissible threshold source (SM content, no new state; the E8 spine is arithmetic, not a tower) -- spectral-action 4d-GUT route in tension like NCG-SM, likely falsified unless extended; not a confirmation
Dependencies as recorded
QFT4D.MATTER.01; CONTRACT.QFT4D.01
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- 2026-06-17 (Honest data cross-check + emergent-QFT figures: the unification tension, v246)Research changelog; TFPT — Introduction and reading guide
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- Kopplungsvereinigung mit dem quelleigenen Pati–Salam-Inhalttfpt anschluss zellen seam 2026-09-14
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- 2026-06-18 (The 4D-QFT fork frozen as a branch policy: boundary-only canonical, Pati–Salam a falsifiable UV branch, SM-only GUT killed, v265)Research changelog; TFPT — Introduction and reading guide
- The EM closure: [formula in source] as an explicit fixed point (made explicit here)tfpt 1 architecture e8
- The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
- Proton/electron ratio [formula in source] — a cross-sector ratioFrontier and open physical interfaces
- The unique attractor: a gapped transport selects ONE fixed pointorigin theory
- The unique attractor: a gapped transport selects ONE fixed pointinput 4 origin theory
- 2026-06-28 ( v434 — a third honest step on the [formula in source] Quillen target: [formula in source] is the [formula in source] heat-kernel coefficient, and the three residuals collapse to one [formula in source] [formula in source] one [formula in source] )Research changelog; TFPT — Introduction and reading guide
- The EM closure: [formula in source] as an explicit fixed point (made explicit here)tfpt 1 architecture e8
All 22 linked sections
- Reproduktion
- 2026-06-24 (Harvesting the QFT/gravity machinery: v385 the UV-branch kill-test surface, v386 the graviton-exchange amplitude, v387 the gap-driven correction calculus)
- The EM closure: [formula in source] as an explicit fixed point (made explicit here)
- Research Contract 1 — [formula in source]
- 2026-06-22 (can the one open arrow be fully solved? the closure-mode classification: the flat [formula in source] spherical base locus, four modes, no free theorem – only rigidity or axiom [formula in source] : v347)
- Front matter / support
- Externalization Contract — ALPHA.QUILLEN.EXACT.01 (the determinant-line variation theorem, packaged for external specialists)
- The unique attractor: a gapped transport selects ONE fixed point
- 2026-06-22 (the first-principles boundary, mapped: can [formula in source] be computed? can [formula in source] be first-principles? both NO, with the exact reason: v339)
- Externalization Contract — ALPHA.QUILLEN.EXACT.01 (the determinant-line variation theorem, packaged for external specialists)
- Externalization Contract — ALPHA.QUILLEN.EXACT.01 (the determinant-line variation theorem, packaged for external specialists)
- Research Contract 1 — [formula in source]
- Front matter / support
- The unique attractor: a gapped transport selects ONE fixed point
Registered verification modules
- v246_unification_data_crosscheck.pyRegistered verification module · registry
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QFT4D.RGTEST.01 — the HONEST data cross-check for the spectral-action prediction (v244/v245): does g1=g2=g3, sin²θ_W=3/8 at Λ survive the MEASURED SM couplings? Not in the plain SM. Inputs (PDG, GUT-normalised, M_Z): α_i⁻¹=(59.01,29.59,8.47), SM 1-loop b=(41/10,−19/6,−7) (v159). [E] the prediction: α1=α2=α3, sin²θ_W=3/8 at Λ. [X] tension: pairwise crossings spread ~4 decades (a1=a2 ~1e13, a1=a3 ~2.4e14, a2=a3 ~1e17 GeV), residual spread at 2e16 Δα⁻¹~8.8 — g1=g2=g3 NOT realised by the plain SM. [X] sin²θ_W 3/8 vs measured 0.23122. [X] 2-loop also misses (min spread ~3.2 at 1.7e14 GeV). [O] no rescue: SM gauge content + no new states (the E8 spine is arithmetic, not a threshold tower) → no admissible thresholds; closing it needs new matter (vs 'no new state') or a non-GUT/boundary reading — tension like NCG-SM, likely falsified unless extended. A kill-test [X]/[O], never [E]-as-success.
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