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SESSION 726 -- Tighten L_H closure via expanded locked-rational search
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  L_SCM       = 349.226733 m
  L_H_obs     = sqrt(3/Lambda) = 1.647258e+26 m
  (c/v_SCM)   = 2.997925
  target ratio L_H/L_SCM = 4.716872e+23

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STEP 1 -- 2-atom K search: L_H = L_SCM (c/v)^p D_crit^q * K
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  rank    p    q  K name                               K val      L_H pred (m)     rel err
  1      42    2  K_Mex/K_G                         6.565657      1.647411e+26    +0.0093% <-- BEST
  2      28    8  K_G*K_G                           0.100684      1.647537e+26    +0.0169% *
  3      46    0  A_5*1-F*P                        55.000000      1.649007e+26    +0.1062%
  4      30    7  1-F*P*K_G                         0.290865      1.645258e+26    -0.1214%
  5      40    3  K_Mex/1-F*P                       2.272727      1.649692e+26    +0.1478%
  6      39    5  beta_i/A_5                        0.010048      1.644658e+26    -0.1578%
  7      26    9  K_Mex/A_5                         0.034722      1.643665e+26    -0.2181%
  8      15   12  K_Mex/D_BSFG                      0.347222      1.643258e+26    -0.2428%
  9      44    1  A_5*K_G                          19.038462      1.651291e+26    +0.2448%
  10     21   10  SSq*SSq                           0.324900      1.651298e+26    +0.2453%
  11     32    6  1-F*P*1-F*P                       0.840278      1.642983e+26    -0.2595%
  12     31    5  A_5/1-F*P                        65.454545      1.641934e+26    -0.3232%
  13     28    7  Phi_res/K_G                       2.626263      1.652870e+26    +0.3407%
  14     35    5  1-F_TRZ*1-F_TRZ                   0.810000      1.641284e+26    -0.3626%
  15     24    8  N_ch*1-F_TRZ                      8.100000      1.640877e+26    -0.3873%
  16     13   11  N_ch*N_ch                        81.000000      1.640471e+26    -0.4120%
  17     38    4  1/K_G/D_phys                      0.787879      1.654425e+26    +0.4351%
  18     33    4  A_5/K_G                         189.090909      1.639663e+26    -0.4610%

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STEP 2 -- 3-atom K search near best (p,q)
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  window p in [26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48], q in [-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
  rank    p    q  K name                                           K val     rel err
  1      48    2  beta_i*1-F_TRZ/A_5                            0.009043    +0.0053% <-- SUB-0.1%
  2      42    1  K_Mex*D_crit/K_G                            170.707071    +0.0093% <-- SUB-0.1%
  3      42    3  K_Mex*1/K_G/D_crit                            0.252525    +0.0093% <-- SUB-0.1%
  4      31    5  K_Mex*SO5/K_G                                65.656566    -0.0155% <-- SUB-0.1%
  5      28    7  D_crit*K_G*K_G                                2.617788    +0.0169% <-- SUB-0.1%
  6      28    9  K_G*K_G/D_crit                                0.003872    +0.0169% <-- SUB-0.1%
  7      37    5  beta_i*N_ch/A_5                               0.090435    -0.0195% <-- SUB-0.1%
  8      28    7  K_Mex*K_Mex*beta_i                            2.616753    -0.0226% <-- SUB-0.1%
  9      45    1  SSq*SO5/1-F_TRZ                               6.333333    -0.0269% <-- SUB-0.1%
  10     48    0  D_BSFG*1-F*P/1-F_TRZ                          6.111111    -0.0323% <-- SUB-0.1%
  11     29    6  D_BSFG*1/K_G/Phi_res                         22.690909    -0.0372% <-- SUB-0.1%
  12     41    3  K_Mex*beta_i*beta_i                           0.757268    +0.0378% <-- SUB-0.1%

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STEP 3 -- D_crit^7 dressing for rho_Lambda/rho_vac_SCm
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  rho_Lambda/rho_vac_SCm = 8.355022e+09
  D_crit^7               = 8.031810e+09
  target K_needed        = 1.040242
  rank K name                               K val       predicted     rel err
  1    1+1/D_crit                        1.038462      8.3407e+09    -0.1711% *
  2    1+F_TRZ*K_G                       1.031731      8.2867e+09    -0.8182% *
  3    1+K_G*F_TRZ                       1.031731      8.2867e+09    -0.8182% *
  4    1+F_TRZ*SSq                       1.057000      8.4896e+09    +1.6110%
  5    1+SSq*F_TRZ                       1.057000      8.4896e+09    +1.6110%
  6    beta_i/SSq                        1.057719      8.4954e+09    +1.6802%
  7    1+F_TRZ*beta_i                    1.060290      8.5160e+09    +1.9273%
  8    1+beta_i*F_TRZ                    1.060290      8.5160e+09    +1.9273%
  9    1-F*P/1-F_TRZ                     1.018519      8.1805e+09    -2.0883%
  10   1+1/A_5                           1.016667      8.1657e+09    -2.2663%
  11   1+F_TRZ*F_TRZ                     1.010000      8.1121e+09    -2.9072%
  12   1-F_TRZ/Phi_res                   1.080000      8.6744e+09    +3.8220%
  13   F_TRZ/F_TRZ                       1.000000      8.0318e+09    -3.8685%
  14   F_TRZ*SO5                         1.000000      8.0318e+09    -3.8685%
  15   Phi_res/Phi_res                   1.000000      8.0318e+09    -3.8685%

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STEP 4 -- Decision gate on Class VI anchor
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  SUB-0.1% closure(s) FOUND: 14.
  -> L_H derivable from {L_SCM, c/v_SCM, D_crit, locked rationals}.
  -> Class VI anchor count COLLAPSES from 4 to 3.

LH_two_atom_best_locked: predicted=1.647411e+26 observed=1.647258e+26 error_pct=+9.268339e-03 status=OK
LH_three_atom_best_locked: predicted=1.647345e+26 observed=1.647258e+26 error_pct=+5.261192e-03 status=OK
rhoLambda_D7_locked_dressing: predicted=8.340726e+09 observed=8.355022e+09 error_pct=-1.711117e-01 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/_session726_LH_tighten_locked_closure_result.json
