A registered result in its source context
Original ledger classification: Identity [I] (freeness signature + scale selection) + [P] (the m_H prediction band)
Recorded statement: 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…
Statement, assumptions and sources
Paper context: Frontier and open physical interfaces
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HIGGS.FREESEAM.01
Original ledger classification: Identity [I] (freeness signature + scale selection) + [P] (the m_H prediction band)
Original claim text
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)
Original classification detail
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 as recorded
EM.BUDGET.02; GATE.METRIC.15; v158_fixed_point_stable.py; v159_pyrate_gauge_crosscheck.py
Open the original ledger source, row 251Location recorded in the ledger
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- Frontier and open physical interfaces
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- 2026-07-03 (surfacing round — three already-computed unique readouts promoted to the public prediction surfaces: the axion–photon coefficient [formula in source] , the free-seam Higgs band [formula in source] – [formula in source] \,GeV, and the never-run BH HFQPO [formula in source] ladder-tooth search; no new vN, no status moves)Research changelog; TFPT — Introduction and reading guide
- 2026-06-13 (Higgs quartic from the free seam: SM near-criticality explained, v166)Research changelog; TFPT — Introduction and reading guide
Navigation through a shared verification script
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- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- The Higgs quartic — near-criticality from the free seamFrontier and open physical interfaces
Registered verification modules
- v166_higgs_free_seam.pyRegistered verification module · registry
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the Higgs quartic from the free seam (premise A / v158): a Gaussian seam UV forces lambda(M_seam)=0 AND beta_lambda(M_seam)=0 (Shaposhnikov-Wetterich double criticality, here MOTIVATED not assumed). 2-loop PyR@TE-sourced SM running with the measured (m_H,m_t) gives lambda(Mbar)~0.002, beta_lambda(Mbar)~0 at the reduced Planck mass — the famous SM near-criticality, now EXPLAINED by the free seam (2-loop sharpens lambda(Mbar) from ~0.022 to ~0.002). The double condition predicts m_H~129-134 GeV; the same condition at the scalaron scale gives ~107 GeV (too low) => the BC lives at M̄ (seam=Planck). Fills the Higgs-sector gap.
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