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A registered result in its source context

Original ledger classification: Identity [I] (parameter-free confinement scale) + [P] (lattice O(1)) + [A] (ratio stays non-claim)

Recorded statement: QCD CONFINEMENT SCALE PARAMETER-FREE FROM THE CARRIER b3 = -7 (the m_p/m_e numerator is independently sourced; the ratio itself stays an honest non-claim): (1) running alpha_s(M_Z) = 0.1179 down with the two-loop QCD RGE and b0(n_f) = 11 -…

Statement, assumptions and sources

Paper context: Frontier and open physical interfaces

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QCD.LAMBDA.01

Original ledger classification: Identity [I] (parameter-free confinement scale) + [P] (lattice O(1)) + [A] (ratio stays non-claim)

Original claim text

QCD CONFINEMENT SCALE PARAMETER-FREE FROM THE CARRIER b3 = -7 (the m_p/m_e numerator is independently sourced; the ratio itself stays an honest non-claim): (1) running alpha_s(M_Z) = 0.1179 down with the two-loop QCD RGE and b0(n_f) = 11 - 2 n_f/3 (b3 = -7 at n_f = 6; v159) + thresholds at m_b, m_c reproduces alpha_s(m_b) ~ 0.22 and alpha_s(m_c) ~ 0.38 = the measured values [I]; (2) continuing down, alpha_s reaches O(1) (confinement) at mu_conf ~ 0.5 GeV in [0.3,0.8] -- the QCD scale is fixed by {alpha_s(M_Z), b3 = -7} alone (dimensional transmutation), not an input [I]; (3) m_p = 0.938 GeV ~ 2 x mu_conf, where the O(1) proton/Lambda factor is LATTICE (non-perturbative), NOT supplied by PyR@TE or the compiler [P]; (4) m_p/m_e = 1836.15 is BRACKETED by 1/phi0^2 = 353.7 and 1/phi0^3 = 6651 but is NOT a compiler power; v164 sources only the QCD-scale numerator and KEEPS the frontier 'Open / not forced' typing [A]. Python-only (numerical two-loop running)

Original classification detail

Identity [I]: Lambda_QCD parameter-free from b3=-7; m_p/m_e numerator sourced, ratio stays 'Open / not forced'

Dependencies as recorded

EM.BUDGET.02; CAR.SM.01; FR.MPME.01

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Registered verification modules

  • v164_qcd_scale.pyRegistered verification module · registry
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    the QCD confinement scale is parameter-free from the carrier b3=−7: running α_s(M_Z) down (2-loop, n_f thresholds) gives α_s(m_b)~0.22, α_s(m_c)~0.38 and confinement (α_s~1) at ~0.5 GeV — so the QCD-scale NUMERATOR of m_p/m_e is independently sourced (dimensional transmutation), while the ratio 1836 stays the honest 'Open / not forced' frontier non-claim (m_p = O(1)·Λ is lattice).

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