Original ledger status
SYNTH.INVENTORY.03
TERMINAL RESIDUAL INVENTORY (post premise-(A) closure; supersedes the CONTENTS of SYNTH.INVENTORY.02): after the (A)-chain (v160-v165) premise (A) is NO LONGER an independent structural class. (1) (A) CLOSED AS A CLASS - the four (A)-closure rows exist (GATE.METRIC.16 fixed-point theorem; .17 cone eliminated, cone gap = one-particle gap; .18 numbers forced by mu4-equivariance; .19 factors into A2 + GATE.QGEO + irreducible core). (2) THE FIVE v123 CLASSES COLLAPSE: R1 clock, R2 index-4 net and R5 Q-realisation all merge into ONE Tier-1 hinge (the seam=flavour=horizon identification = A2 net existence [assembly of established net constructions, GATE.METRIC.11/13] + GATE.QGEO [seam boundary = P^1 minus mu4; cohomology b1=N_fam=3, cusp grading = A3 exponents]); R3 (EH step) folds into v_geo (SEAM.EHMODEL.03/v152: the normalisation IS the anchor); R4' (selectors) was already discharged. (3) TERMINAL STRUCTURE: Tier 0 = the irreducible core {pi, v_geo}, a THEOREM by the No-Unit Theorem (ANCHOR.VGEO.01/02), nothing to close; Tier 1 = ONE hinge; Tier 2 = folded (EH -> v_geo, ambient QG -> G_net via GATE.METRIC.02/v76, gap-decoupled); Tier 3 = F_transfer, ONE functor with four typed CONDITIONAL interfaces (Koide FR.KOIDE.05/06, eta_B FR.ETAB.01, m_p/m_e QCD.LAMBDA.01 [ratio stays open/not forced], RG-stable lepton mixing FLAV.RGSTAB.01; axion = scenario), eta_B carrying the most open computational room. (4) COMPLETENESS: the structural residual is now ONE hinge + ONE transfer functor + the {pi, v_geo} core; a sixth independent structural class - or a new irreducible - would FAIL this script. HONEST: a unification + re-typing, NOT an unconditional proof
Recorded status: Identity [I] (machine bookkeeping + typing contract; ledger-row membership)
Dependencies, status detail and source
Canonical status: Terminal inventory: (A) no longer a class; ONE hinge (A2+GATE.QGEO) + F_transfer + irreducible {pi,v_geo}; Tier 2 folded; sixth class fails the script
Dependencies: SYNTH.INVENTORY.02; GATE.METRIC.16; GATE.METRIC.17; GATE.METRIC.18; GATE.METRIC.19; ANCHOR.VGEO.02; FR.ETAB.01
Scripts: v167_inventory_post_closure.py
Location: origin_theory
Original CSV, line 208Original ledger status
QCD.LAMBDA.01
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)
Recorded status: Identity [I] (parameter-free confinement scale) + [P] (lattice O(1)) + [A] (ratio stays non-claim)
Dependencies, status detail and source
Canonical status: Identity [I]: Lambda_QCD parameter-free from b3=-7; m_p/m_e numerator sourced, ratio stays 'Open / not forced'
Dependencies: EM.BUDGET.02; CAR.SM.01; FR.MPME.01
Scripts: v164_qcd_scale.py
Location: tfpt_4_frontier
Original CSV, line 250Original ledger status
DYN.TRANSFER.UNIVERSAL.01
The single-flow reduction of F_transfer (2026-06-25): the four frontier transfers (F_pole, F_Boltzmann, F_relic, F_QCD) do NOT each need a separate external solver -- their DYNAMICS is the ONE native flow of the theory (the seam modular/recovery semigroup, v238/v240, gap 6 ln(3/2)) restricted to each sector. Native flow + EXTERNAL ANCHORS, firewall-clean (the observable stays [C] until the anchor is supplied). [E] THE ONE NATIVE FLOW: recovery spec {1,(2/3)^6,(1/3)^6}, H_OS=-log T gap 6 ln(3/2)>0, e^{-Delta}=(2/3)^6 exact; an explicit 2-state column-stochastic T gives L=log T a Markov generator (off-diag>=0, columns sum 0). [E] F_pole IS THIS FLOW (lepton sector): the v99 Koide generator dq/dt=(Delta/N_fam)(q-2)(q-5) linearised at the attractor q=2 has rate g'(2)=-Delta, so the time-1 contraction is e^{-Delta}=(2/3)^6 (the recovery eigenvalue); q=5 unstable (g'(5)=+Delta). [E] F_Boltzmann washout = the native contraction (2/3)^6, CP phase delta_PMNS=4pi/3 native (v320). [E] F_QCD rate native: b3=-7 (v159), b0(n_f=6)=11-2*6/3=7=-b3, so the dimensional-transmutation exponent -2pi/(b0 alpha_s) is native (QCD.LAMBDA.01). [C] VERDICT: the transfer DYNAMICS is one native object (v238 recovery semigroup, v383 universal) -- native gap + native rates; only the ANCHORS (v_geo, lattice C_p, seesaw M_R) stay external. F_relic's free input is a cosmological initial condition theta_i (not theory-derivable; best case mu4-symmetry-reduced) -- the one genuine wall. A single-flow REDUCTION, NOT internalisation: no new premise, the firewall holds. Extends v383 (static universal gap) to a dynamic universal flow.
Recorded status: Single-flow reduction [E]/[C]: the four F_transfer flows are the ONE v238 recovery semigroup restricted to sectors (native gap 6 ln(3/2), native rates e^{-Delta}=(2/3)^6, b3=-7); F_pole=v99 generator at q=2, F_Boltzmann washout=that contraction (CP 4pi/3 native), F_QCD rate native -- only the ANCHORS (v_geo/C_p/M_R) external; F_relic's cosmological IC theta_i the one wall. Reduction not internalisation, firewall-clean; extends v383 static->dynamic
Dependencies, status detail and source
Canonical status: Numerical
Dependencies: CONTRACT.F.01; DYN.SEMIGROUP.01; DYNAMICS.UNIVERSAL.01; QCD.LAMBDA.01; v238; v240; v99; v320; v159; v383
Scripts: v425_dyn_transfer_universal.py
Location: tfpt_research_contracts
Original CSV, line 492