Original ledger status
CAR.SM.ANOM.01
CAR.SM.ANOM.01
THE CARRIER HALF-SPINOR IS ONE ANOMALY-FREE SM GENERATION + THE SM RG (2026-06-21, TOE attack point 3): connects the discrete compiler to constructive 4D QFT, closing the spectrum+anomaly+beta sub-question exactly. [E] 16=Lambda^even(C^5)=1+10+5; SU(5) c SO(10): 10+5bar+1 = one SM generation (Q,u^c,d^c,L,e^c,nu^c), 16 Weyl states. [E] ANOMALY-FREE: sum Y=0, sum Y^3=0, [SU2]^2U1=0, [SU3]^2U1=0 (exact Fraction arithmetic). [E] one-loop RG from the carrier content (3 gen + 1 Higgs): (b1,b2,b3)=(41/10,-19/6,-7); b1 numerator 41 = the EM-budget integer (v3/v159), b3=-(11-2 n_f/3) with n_f=2 N_fam. [E] NEG: dropping nu^c leaves an incomplete 15!=16 multiplet; a 4th family shifts b1 off 41/10 (N_fam=3 pins the RG). [C]/[O] the full Epstein-Glaser interacting S-matrix (v269/v271/v273) and the Yukawa sector stay open. Closes the spectrum/anomaly/beta layer; not the interacting S-matrix.
Recorded status: Identity [E] (spectrum+anomaly+RG) + [C]/[O] (S-matrix)
Dependencies, status detail and source
Canonical status: [E] the 16=1+10+5 decomposition + the four exact anomaly cancellations + the one-loop (b1,b2,b3)=(41/10,-19/6,-7) + the N_fam=3 RG-pinning negative controls; [C]/[O] the full EG interacting S-matrix + Yukawa. A genuine closure of the carrier->anomaly-free-SM+RG sub-question; does NOT close the interacting theory.
Dependencies: CAR.SM.01; QFT4D.SPERT.03; v273; v159
Scripts: v310_carrier_sm_anomaly.py
Location: tfpt_research_contracts
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