Original ledger status
HIGGS.FREESEAM.01
HIGGS.FREESEAM.01
HIGGS QUARTIC FROM THE FREE SEAM (a derived boundary condition tying m_H to premise (A); validated at two loops): the seam UV is the free chiral c=8 fixed point (v157/v158, Gaussian, no relevant/marginal interactions), so the one marginal SM scalar coupling vanishes at the seam -- lambda(M_seam)=0 AND beta_lambda(M_seam)=0, the Shaposhnikov-Wetterich double-criticality, here MOTIVATED by the free seam rather than assumed. (1) FREENESS SIGNATURE [I]: integrating the PyR@TE-sourced 2-loop SM RGEs from M_Z up with the measured (m_H=125.25, m_t) gives lambda(Mbar) ~ 0.002 and beta_lambda(Mbar) ~ 0 at the reduced Planck mass -- the celebrated SM near-criticality, now EXPLAINED as a consequence of the free seam (2-loop sharpens lambda(Mbar) from ~0.022 at 1-loop to ~0.002, i.e. the BC is met to ~0.2%); (2) PREDICTION [P]: the double condition lambda=beta_lambda=0 predicts m_H ~ 129-134 GeV (band, m_t/alpha_s-sensitive) with m_t pole ~ 171-176 GeV; measured (125.25, 172.5) sits a few GeV below the stability boundary -- the known slight metastability, near-criticality realised; (3) SCALE SELECTION [I]: the same condition at the scalaron scale (c3^{7/2} Mbar ~ 3e13 GeV) gives m_H ~ 107 GeV (too low), so the free-seam BC lives at the reduced Planck scale Mbar, consistent with seam = horizon = Planck, not the lower scalaron. Fills the Higgs-sector gap (previously only N_Phi=1). Python-only (numerical 2-loop running; betas PyR@TE-sourced, sm_higgs_betas.txt)
Recorded status: Identity [I] (freeness signature + scale selection) + [P] (the m_H prediction band)
Dependencies, status detail and source
Canonical status: Identity [I]: free seam => lambda(Mbar)~0=beta_lambda (SM near-criticality explained); [P] m_H ~ 129-134 predicted; seam BC at the Planck scale
Dependencies: EM.BUDGET.02; GATE.METRIC.15; v158_fixed_point_stable.py; v159_pyrate_gauge_crosscheck.py
Scripts: v166_higgs_free_seam.py
Location: tfpt_4_frontier
Original CSV, line 251