A registered result in its source context
Original ledger classification: Identity [I] (trace anomaly + b3 + VW factorisation exact)
Recorded statement: TRACE-ANOMALY ORIGIN OF THE SEED PREFACTOR 4/3 + the shared integer 7 (b3 = scalaron exponent): (1) the retained seed phi0=(4/3)c3+48 c3^4 has base (4/3)c3=1/(6pi); the prefactor 4/3 is the conformal Weyl anomaly of the seam CFT -- over…
Statement, assumptions and sources
Paper context: Standard Model and flavor structure
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SEED.ANOMALY.01
Original ledger classification: Identity [I] (trace anomaly + b3 + VW factorisation exact)
Original claim text
TRACE-ANOMALY ORIGIN OF THE SEED PREFACTOR 4/3 + the shared integer 7 (b3 = scalaron exponent): (1) the retained seed phi0=(4/3)c3+48 c3^4 has base (4/3)c3=1/(6pi); the prefactor 4/3 is the conformal Weyl anomaly of the seam CFT -- over S^2 (chi=2) the (E8)1 (c=8) trace anomaly is c*chi/6=8/3, halved by the one-sided |Z2| Moebius identification to 4/3 = dim S+/dim g_SM = 16/12; the Cabibbo seed prefactor IS the halved (E8)1 Weyl anomaly [I]; (2) the QCD one-loop coefficient |b3|=11-(2/3)N_f=7 (N_f=2 N_fam=6) equals the scalaron exponent 7=Omega_adm-10 b1=48-41 (M_scal=c3^{7/2} Mbar) -- confinement (Lambda_QCD) and inflation (scalaron) are driven by ONE integer (the carrier occupancy deficit) [I]; (3) AUDIT: the external Volkov-Wipf Nariai graviton/ghost coefficient -98/45 (v138) = -2*7^2/45 = -2 (scalaron exp)^2/dim(D5) (dim so(10)=45). Gives the seed prefactor and the QCD/scalaron integer a first-principles CFT/QFT origin, not a fit
Original classification detail
Identity [I]: seed 4/3 = halved (E8)1 Weyl anomaly on S^2; b3=7=scalaron exponent (confinement<->inflation)
Dependencies as recorded
CAR.SM.01; FR.MPME.01; ANCHOR.GEN.01; v138_vw_firewall.py
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- Standard Model and flavor structure
Sections that explicitly cite this claim
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- 2026-06-13 (CFT/QFT bridges: slice compression v170, OS moment v171, trace-anomaly seed v172, Pfaffian CP v173)Research changelog; TFPT — Introduction and reading guide
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- The principle: one master formula instead of many Yukawa numberstfpt 2 standard model
- The principle: one master formula instead of many Yukawa numbersStandard Model and flavor structure
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
Registered verification modules
- v172_trace_anomaly_seed.pyRegistered verification module · registry
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trace-anomaly origin of the seed prefactor 4/3: over the seam S² (χ=2) the (E8)1 (c=8) Weyl anomaly is c·χ/6=8/3, halved by the one-sided |Z2| to 4/3 = dimS+/dim g_SM = 16/12 = the seed base (4/3)c3=1/(6π). Plus QCD b3=11−⅔N_f=7 = scalaron exponent Ω_adm−10b1=48−41 (confinement↔inflation share one integer), and the Volkov-Wipf factorisation −98/45=−2·7²/dim(D5) (audit). Gives the seed prefactor and the QCD/scalaron integer a first-principles CFT/QFT origin.
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