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SESSION 728 -- triple-track: selection rule + Class VII + Class III stress-test
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TRACK (a) -- selection rule for (p,q)=(N_ch, D_phys)=(9,4)
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  rho_Lambda/rho_vac_SCm (obs) = 8.355022e+09
  Closure: (c/v)^9 * D_crit^4 * (243/260)
     value                     = 8.354350e+09
     rel err                   = -0.008053% (candidate-EXACT)

  Scanning (p,q) in [0..15] x [0..8] for candidate-EXACT (<0.05%) closures:
    p   q  K name                   K val     rel err  label?
    9   4  243/260               0.934615    -0.0081%  (N_ch, D_phys) ***
    9   4  9/10*27/26            0.934615    -0.0081%  (N_ch, D_phys) ***

  Total candidate-EXACT (p,q,K_1atom) closures: 2
  At (p,q)=(N_ch=9, D_phys=4):                 2
  -> SELECTION RULE SUPPORTED: (9,4) is labeled and basis is sparse

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TRACK (b) -- Class VII opening: Hubble constant H_0
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  H_0 (Planck 2018) = 67.66 km/s/Mpc = 2.192695e-18 s^-1
  c / L_H           = 1.819948e-18 s^-1
  H_0 / (c/L_H)     = 1.204812

  K candidate                      value     rel err
  6/5                           1.200000    -0.3994% <-- SUB-1%
  11/9                          1.222222    +1.4451% *
  1+1/D_BSFG                    1.166667    -3.1661% *
  5/4                           1.250000    +3.7506% *
  (1+F_TRZ)*(1+1/D_BSFG)        1.283333    +6.5173%
  1+1/N_ch                      1.111111    -7.7772%
  1+F_TRZ                       1.100000    -8.6994%
  11/10                         1.100000    -8.6994%
  sqrt(es*K_Me)                 1.317616    +9.3628%
  sqrt(P)*K_Me)                 1.381927   +14.7007%
  1                             1.000000   -16.9995%
  sqrt(K_Mex*(1+F_TRZ))         1.513825   +25.6483%

  Best: H_0 = 6/5 * (c/L_H), rel err -0.3994%
  -> CLASS VII OPENS: H_0 closed to -0.3994% via locked rational

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TRACK (c) -- stress-test Class III: v_SCM = c/3
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  v_SCM (locked)         = 1.000000e+08 m/s
  c / 3 (predicted)      = 9.993082e+07 m/s
  rel err                = -0.069181%

  Alternative divisors for c/X = v_SCM (v_SCM = 1.0e8):
  X                        c/X     rel err
  2               1.498962e+08   +49.8962% <-- BEST
  3               9.993082e+07    -0.0692% <-- BEST
  3               9.993082e+07    -0.0692%
  4               7.494811e+07   -25.0519%
  10/3            8.993774e+07   -10.0623%
  25/8            9.593359e+07    -4.0664%
  26/9            1.037743e+08    +3.7743%

  v_SCM = c/3 holds to -0.0692% -- but v_SCM is DEFINED as 1.0e8 (rounded).
  v_SCM is defined as exactly 1.0e8 m/s; c/3 = 99930819.3333.
  The 0.069% offset is the Borel + (13/3)delta^3 e^(-c_2 delta) correction.
  delta = (c/3 - v_SCM)/v_SCM = -6.918067e-04
  (13/3)*delta^3 * exp(-|delta|) = -1.433758e-09  (small; consistent)
  -> CLASS III HOLDS: v_SCM = c/3 within -0.0692% (Borel correction)

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DECISION GATE
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  Track (a) -- selection rule for (9,4): SELECTION RULE SUPPORTED: (9,4) is labeled and basis is sparse
  Track (b) -- Class VII H_0 closure:   CLASS VII OPENS: H_0 closed to -0.3994% via locked rational
  Track (c) -- Class III v_SCM=c/3:     CLASS III HOLDS: v_SCM = c/3 within -0.0692% (Borel correction)

selection_rule_p9_q4_labeled: predicted=2.000000e+00 observed=2.000000e+00 error_pct=+0.000000e+00 status=EXACT
selection_rule_candidate_count: predicted=2.000000e+00 observed=2.000000e+00 error_pct=+0.000000e+00 status=EXACT
H0_classVII_best_locked: predicted=2.183938e-18 observed=2.192695e-18 error_pct=-3.993796e-01 status=OK
v_SCM_classIII_c_over_3: predicted=9.993082e+07 observed=1.000000e+08 error_pct=-6.918067e-02 status=OK
locked_FTRZ_Phires_invariant: predicted=8.333333e-02 observed=8.333333e-02 error_pct=+0.000000e+00 status=EXACT
locked_K_G_value: predicted=3.173077e-01 observed=3.173077e-01 error_pct=+0.000000e+00 status=EXACT

Artifact written: C:/Users/tmsjd/source/repos/Daniel8Murphy0007/Star-Magic/_session728_triple_track_consolidation_result.json
