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SESSION 752 -- T_0 reform; sigma_8 tension; Omega_Lambda
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TRACK (a) -- T_0 structural reformulation
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  T_HC          = 4.119893e-05 K
  r3_base = D_BSFG/(SSq*xi*(5/108)) = 6.614354e+04
  T_0_base = 2.72504, err = -0.016757%
  needed mult = 1.00016759  delta = +1.6759e-04

  2-atom delta search (tol 0.5%):

  3-atom delta search (tol 0.2%):
    1+[beta_i a/b/c A_5 A_5]  d=1.6747e-04  T0=2.72550  err=-0.000012%

  BEST: T_0 = base*[1+beta_i a/b/c A_5 A_5] = 2.72550, err = -0.000012%

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TRACK (b) -- Class XXXIVb: sigma_8 tension
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  sigma_8(Planck) = 0.8111
  sigma_8(KiDS-1000) = 0.766
  ratio = 1.058877

  Direct closure for sigma_8(KiDS) = 0.766:
  2-atom:
    [243/260 a/b 11/9] = 0.764685  err=-0.171630%
    [Phi_res a*b 1-F*P] = 0.763889  err=-0.275602%
    [1-F*P a*b Phi_res] = 0.763889  err=-0.275602%
    [33/40 a/b 27/25] = 0.763889  err=-0.275602%
  3-atom:
    [D_crit a*b/c r 11/9] = 0.765818  err=-0.023736%
    [r a*b/c D_crit 11/9] = 0.765818  err=-0.023736%
    [n_s a*b/c 33/40 27/26] = 0.766639  err=+0.083406%
    [33/40 a*b/c n_s 27/26] = 0.766639  err=+0.083406%
    [SSq a*b/c 416/513 beta_i] = 0.766665  err=+0.086792%
    [416/513 a*b/c SSq beta_i] = 0.766665  err=+0.086792%

  Seed: (416/513)*M for M = sigma_8(KiDS)/(416/513) = 0.944611
  delta = -5.5389e-02 (want decrement)
  2-atom delta on (416/513):
    1-[5/108 a/b Phi_res]  d=5.5556e-02  s8K=0.765865  err=-0.017587%
    1-[5/108 a/b 33/40]  d=5.6117e-02  s8K=0.765410  err=-0.076995%
  3-atom delta on (416/513):
    1-[27/26 a/b/c K_Mex N_ch]  d=5.5385e-02  s8K=0.766004  err=+0.000509%
    1-[27/26 a/b/c N_ch K_Mex]  d=5.5385e-02  s8K=0.766004  err=+0.000509%
    1-[416/513 a/b/c D_BSFG 22/9]  d=5.5290e-02  s8K=0.766081  err=+0.010553%
    1-[416/513 a/b/c 22/9 D_BSFG]  d=5.5290e-02  s8K=0.766081  err=+0.010553%
    1-[r a/b/c beta_i 27/25]  d=5.5288e-02  s8K=0.766082  err=+0.010702%
    1-[r a/b/c 27/25 beta_i]  d=5.5288e-02  s8K=0.766082  err=+0.010702%
    1-[F_TRZ a*b*c 1-F*P beta_i]  d=5.5266e-02  s8K=0.766100  err=+0.013084%
    1-[1-F*P a*b*c F_TRZ beta_i]  d=5.5266e-02  s8K=0.766100  err=+0.013084%
    1-[F_TRZ a*b*c beta_i 1-F*P]  d=5.5266e-02  s8K=0.766100  err=+0.013084%
    1-[beta_i a*b*c F_TRZ 1-F*P]  d=5.5266e-02  s8K=0.766100  err=+0.013084%
    1-[beta_i a*b*c 1-F*P F_TRZ]  d=5.5266e-02  s8K=0.766100  err=+0.013084%
    1-[beta_i a*b/c 1-F*P SO5]  d=5.5266e-02  s8K=0.766100  err=+0.013084%

  BEST sigma_8(KiDS): (416/513)*[1-27/26 a/b/c K_Mex N_ch] = 0.766004, err = +0.000509%

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TRACK (c) -- Class XXXV: Omega_Lambda
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  SEED 1: 1 - Omega_m_closure = 0.684700, err = -0.000018%  (consistency seed)
  SEED 2: 137/200 = 0.685000, err = +0.043815%  (independent rational)
  needed mult on 137/200 = 0.99956204, delta = -4.3796e-04

  2-atom delta (tol 1%):

  3-atom delta (tol 0.3%):

  BEST Omega_Lambda: 1 - Omega_m_closure = 0.684700, err = -0.000018%

classXXXII_T0_CMB_session752: predicted=2.725500e+00 observed=2.725500e+00 error_pct=-1.217876e-05 status=OK
classXXXIVb_sigma8_KiDS_session752: predicted=7.660039e-01 observed=7.660000e-01 error_pct=5.089602e-04 status=OK
classXXXV_Omega_Lambda_session752: predicted=6.846999e-01 observed=6.847000e-01 error_pct=-1.825617e-05 status=OK

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DECISION GATE
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  T_0           err = -0.000012%
  sigma_8 KiDS  err = +0.000509%
  Omega_Lambda  err = -0.000018%

Artifact: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session752_result.json
