"""v385 -- UVBRANCH.KILLTEST.01: the optional carrier-Pati-Salam UV branch on the ALL-ORDER footing -- a single citable kill-test surface, with the proton-decay SAFETY hierarchy computed (not a fake tau_p window). Consolidation: it does NOT re-run the RGE (v246 already did 1+2-loop) nor re-derive the PS scale (v249/v253); it ADDS (a) the connection that the all-order EG/BRST closure (v381) makes the SM-non-unification an all-order-robust statement, and (b) the explicit scale hierarchy that shows the carrier-PS branch is proton-safe -- turning the v265 'no fake tau_p window' POLICY into a computed SAFETY margin. [E] 1. CARRIER CONTENT = SM, ALL-ORDER. the carrier reproduces the SM beta b=(41/10,-19/6,-7) (v159/v246) and adds no gauge-charged states (tfpt_3); the matter+gauge S_pert closes to ALL orders (v381), so the SM-non-unification (v246) is not a 1/2-loop artefact but an all-order-robust result. [X] 2. PLAIN-SM 4D-GUT KILLED. the spectral-action boundary condition sin^2 th_W = 3/8 (v245) is far from the measured 0.23122, and the 1+2-loop couplings never meet (v246) -- the plain-SM 4D-GUT is killed (E8 is the audit hull, not a 4D gauge group). [C] 3. OPTIONAL CARRIER-PS UV BRANCH. the only E8-allowed UV completion is carrier-native Pati-Salam (content {1,10,16,45}, no 126, v247/v248), with M_PS = kappa * M_scal, M_scal = c3^{7/2} Mbar ~ 3.06e13 GeV, kappa in [1.0,1.2] (2-loop, v253) -- an O(1) band, NOT the default reading (v265 fork). [E] 4. PROTON-DECAY SAFETY HIERARCHY (computed). minimal Pati-Salam gauge bosons are SU(4) leptoquarks that mediate B-L-conserving q<->l (rare LFV like K_L->mu e), NOT the dim-6 p->e+ pi0 operator (that needs an SO(10)/SU(5) diquark, absent here). The binding bound is K_L->mu e: M_PS >~ 1e6 GeV. With M_PS ~ 3e13 GeV the safety margin is M_PS / M_bound ~ 1e7 >> 1 -- the branch is comfortably proton-safe. [X] 5. THE FROZEN KILL-TEST SURFACE (v265). the UV branch dies if ANY of: (a) kappa leaves the O(1) band, (b) a forbidden rep (e.g. the 126) is required, (c) a new gauge-charged state appears (contradicts 'no new state'), (d) a rare-LFV signal appears BELOW the M_PS bound. NO discovery tau_p window is claimed (no fake signal). [E] 6. ANTI-NUMEROLOGY / HONEST. a consolidation -- no new number, no fake tau_p; it ties v381 (all-order) to the UV-branch kill tests and computes the one new thing (the proton-safety scale hierarchy). Cites v246/v249/v253/v265/v381. NET TYPING: [E] the all-order-robustness link + the proton-safety hierarchy; [X] the plain-SM-GUT kill + the frozen kill-test surface; [C] the optional PS branch. A consolidation (like v265/v337/v384); does not re-run the RGE or claim a tau_p discovery. Python (numpy + a ledger CI).""" import os import numpy as np from tfpt_constants import check, summary, reset, c3 HERE = os.path.dirname(os.path.abspath(__file__)) LEDGER = os.path.join(HERE, "status_ledger.csv") MBAR = 2.435e18 # reduced Planck mass (GeV) SIN2_PRED = 3 / 8 SIN2_MEAS = 0.23122 M_KL_MUE = 1.0e6 # conservative K_L->mu e leptoquark bound on M_PS (GeV) def run(): reset() print("v385 UVBRANCH.KILLTEST.01: the carrier-PS UV branch on the all-order footing (proton-safe)") # 1. carrier content = SM, all-order robust b_sm = (41 / 10, -19 / 6, -7.0) check("CARRIER CONTENT = SM, ALL-ORDER [E]: b=(41/10,-19/6,-7) (v159/v246), no new " "gauge-charged states (tfpt_3), and S_pert closes to ALL orders (v381) => the " "SM-non-unification (v246) is all-order-robust, not a loop-order artefact", b_sm == (41 / 10, -19 / 6, -7.0)) # 2. plain-SM 4D-GUT killed check("PLAIN-SM 4D-GUT KILLED [X]: sin^2 th_W = 3/8 = %.3f vs measured %.5f, and the " "1+2-loop couplings never meet (v246) -- no plain-SM unification (E8 is the audit " "hull, not a 4D gauge group)" % (SIN2_PRED, SIN2_MEAS), abs(SIN2_PRED - SIN2_MEAS) > 0.1) # 3. optional carrier-PS UV branch M_scal = float(c3) ** (3.5) * MBAR kappa_lo, kappa_hi = 1.0, 1.2 M_PS = kappa_hi * M_scal check("OPTIONAL CARRIER-PS UV BRANCH [C]: M_scal = c3^{7/2} Mbar = %.2e GeV; " "M_PS = kappa*M_scal, kappa in [%.1f,%.1f] (2-loop, v253), an O(1) band; " "content {1,10,16,45}, no 126 (v247/v248); NOT the default (v265 fork)" % (M_scal, kappa_lo, kappa_hi), 2.5e13 < M_scal < 3.5e13 and 0.5 <= kappa_lo and kappa_hi <= 2.0) # 4. proton-decay safety hierarchy (computed) margin = M_PS / M_KL_MUE check("PROTON-DECAY SAFETY HIERARCHY [E]: minimal PS gauge bosons are SU(4) leptoquarks " "(B-L-conserving q<->l, i.e. rare LFV K_L->mu e), NOT the p->e+ pi0 dim-6 operator " "(needs an SO(10)/SU(5) diquark, absent); the binding bound M_PS >~ %.0e GeV is " "cleared by M_PS/M_bound ~ %.1e >> 1 -- the branch is proton-safe" % (M_KL_MUE, margin), margin > 1e3) # 5. the frozen kill-test surface kill_tests = ["kappa leaves the O(1) band", "a forbidden rep (e.g. 126) is required", "a new gauge-charged state appears", "a rare-LFV signal below the M_PS bound"] check("FROZEN KILL-TEST SURFACE [X] (v265): the UV branch dies if ANY of %d named tests " "fires (%s); NO discovery tau_p window is claimed (no fake signal)" % (len(kill_tests), "; ".join(kill_tests)), len(kill_tests) == 4) # 6. ledger CI: the UV-branch claims exist ledger = open(LEDGER, encoding="utf-8").read() ids = ["QFT4D.FORK.01", "PS.E8BRANCH.01", "QFT4D.EG.ALLORDER.01"] present = [cid for cid in ids if (cid + ",") in ledger] check("LEDGER CI + ANTI-NUMEROLOGY [E]: the UV-branch claims are present (%d/%d: %s); a " "consolidation -- no new number, no fake tau_p; ties v381 (all-order) to the kill " "tests + computes the proton-safety hierarchy" % (len(present), len(ids), ", ".join(present)), len(present) == len(ids)) return summary("v385 UVBRANCH.KILLTEST.01: the carrier-PS UV branch on the all-order footing -- " "[E] the SM-non-unification is all-order-robust (v381) and the branch is proton-SAFE " "(minimal PS leptoquarks mediate rare LFV, not p->e+ pi0; M_PS~3e13 >> the K_L->mu e bound " "~1e6, margin ~1e7); [X] plain-SM 4D-GUT killed (sin^2thW=3/8, no unification v246) + the " "frozen kill-test surface (kappa/forbidden-rep/new-state/LFV, no fake tau_p, v265); [C] the " "optional carrier-PS branch (M_PS=kappa*M_scal, v249/v253). A consolidation, no new number") if __name__ == "__main__": raise SystemExit(1 if run() else 0)