================================================================================
SESSION 748 -- Li/H fine; Class XXIX 3He/H; Class XXX eta_b
================================================================================

--------------------------------------------------------------------------------
TRACK (a) -- Li/H fine: (1-n_s)^7 * (SO5/D_phys) currently +0.5302%
--------------------------------------------------------------------------------
  base = 1.608482e-10, err = +0.530151%
  needed mult = 0.99472644, delta = -5.2736e-03

  3-atom delta search for (1+delta):
    1-beta_i*1-n_s/D_phys  delta=5.2754e-03  Li/H=1.6000e-10  err=-0.000183%
    1-1-n_s*beta_i/D_phys  delta=5.2754e-03  Li/H=1.6000e-10  err=-0.000183%
    1-xi*beta_i/...  delta=5.2793e-03  Li/H=1.6000e-10  err=-0.000574%
    1-xi*27/25/...  delta=5.2793e-03  Li/H=1.6000e-10  err=-0.000574%
    1-33/40*D_BSFG/...  delta=5.2885e-03  Li/H=1.6000e-10  err=-0.001498%
    1-33/40*D_crit/...  delta=5.2885e-03  Li/H=1.6000e-10  err=-0.001498%
    1-r*r/Y_p  delta=5.2898e-03  Li/H=1.6000e-10  err=-0.001633%
    1-N_ch*1-n_s/A_5  delta=5.2500e-03  Li/H=1.6000e-10  err=+0.002368%
    1-1-F_TRZ*1-n_s/D_BSFG  delta=5.2500e-03  Li/H=1.6000e-10  err=+0.002368%
    1-1-n_s*N_ch/A_5  delta=5.2500e-03  Li/H=1.6000e-10  err=+0.002368%

  2-atom delta search:
    1-5/108/N_ch    delta=5.1440e-03  Li/H=1.6002e-10  err=+0.013021%

  BEST: Li/H = (1-n_s)^7*(SO5/D_phys)*[1-beta_i*1-n_s/D_phys] = 1.6000e-10, err = -0.000183%

--------------------------------------------------------------------------------
TRACK (b) -- Class XXIX: 3He/H = 1.00e-5 (Bania Rood Balser 2002)
--------------------------------------------------------------------------------
  Direct hypotheses:
    (1-n_s)^1 = 3.5000e-02  need_mult = 0.0003
    (1-n_s)^2 = 1.2250e-03  need_mult = 0.0082
    (1-n_s)^3 = 4.2875e-05  need_mult = 0.2332
    (1-n_s)^4 = 1.5006e-06  need_mult = 6.6639
    (1-n_s)^5 = 5.2522e-08  need_mult = 190.3969

  3-atom direct: a*b/c hitting 1e-5
    r*A_5/... (a/b/c   )  = 1.0000e-05  err=-0.0000%
    Phi_res*xi/... (a*b*c   )  = 9.8470e-06  err=-1.5299%
    xi*Phi_res/... (a*b*c   )  = 9.8470e-06  err=-1.5299%
    xi*xi/... (a*b*c   )  = 9.8470e-06  err=-1.5299%
    xi*33/40/... (a*b*c   )  = 9.7485e-06  err=-2.5146%
    33/40*xi/... (a*b*c   )  = 9.7485e-06  err=-2.5146%
    xi*xi/... (a*b*c   )  = 9.7485e-06  err=-2.5146%
    1-n_s*A_5/... (a/b/c   )  = 9.7222e-06  err=-2.7778%
    xi*xi/11/9 (a*b/c   )  = 9.6680e-06  err=-3.3203%
    xi*xi/... (a*b*c   )  = 9.5821e-06  err=-4.1788%
    xi*416/513/... (a*b*c   )  = 9.5821e-06  err=-4.1788%
    416/513*xi/... (a*b*c   )  = 9.5821e-06  err=-4.1788%
    xi*D_BSFG/... (a/b/c   )  = 9.5486e-06  err=-4.5139%
    xi*A_5/... (a/b/c   )  = 9.5486e-06  err=-4.5139%
    1-F_TRZ*xi/... (a*b*c   )  = 1.0635e-05  err=+6.3477%

  (1-n_s)^3 * (3-atom): need =  0.2332361516034985
    (1-n_s)^3 * [1-F*P*Y_p/27/26 (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [1-F*P*27/26/Y_p (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [Y_p*1-F*P/27/26 (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [27/26*1-F*P/Y_p (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [Y_p*27/26/1-F*P (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [27/26*Y_p/1-F*P (a*b*c)]  = 9.9994e-06  err=-0.006430%
    (1-n_s)^3 * [D_BSFG*r/27/25 (a*b*c)]  = 1.0002e-05  err=+0.018800%
    (1-n_s)^3 * [D_BSFG*27/25/r (a*b*c)]  = 1.0002e-05  err=+0.018800%
    (1-n_s)^3 * [r*D_BSFG/27/25 (a*b*c)]  = 1.0002e-05  err=+0.018800%
    (1-n_s)^3 * [r*27/25/D_BSFG (a*b*c)]  = 1.0002e-05  err=+0.018800%

  (1-n_s)^2 * (3-atom): need =  0.008163265306122448
    (1-n_s)^2 * [SSq*1-n_s/22/9 (a*b/c)]  = 9.9977e-06  err=-0.023295%
    (1-n_s)^2 * [1-n_s*SSq/22/9 (a*b/c)]  = 9.9977e-06  err=-0.023295%
    (1-n_s)^2 * [r*Y_p/27/25 (a*b/c)]  = 1.0004e-05  err=+0.041667%
    (1-n_s)^2 * [Y_p*r/27/25 (a*b/c)]  = 1.0004e-05  err=+0.041667%
    (1-n_s)^2 * [1-n_s*243/260/D_phys (a*b/c)]  = 1.0018e-05  err=+0.179087%
    (1-n_s)^2 * [243/260*1-n_s/D_phys (a*b/c)]  = 1.0018e-05  err=+0.179087%
    (1-n_s)^2 * [beta_i*416/513/A_5 (a*b/c)]  = 9.9817e-06  err=-0.182638%
    (1-n_s)^2 * [416/513*beta_i/A_5 (a*b/c)]  = 9.9817e-06  err=-0.182638%
    (1-n_s)^2 * [F_TRZ*SO5/11/9 (a/b/c)]  = 1.0023e-05  err=+0.227273%
    (1-n_s)^2 * [F_TRZ*F_TRZ/11/9 (a*b/c)]  = 1.0023e-05  err=+0.227273%

  Y_p * (3-atom): need =  4.081632653061225e-05

  BEST: 3He/H = [r a/b/c A_5 A_5] = 1.0000e-05, err = -0.000000%

--------------------------------------------------------------------------------
TRACK (c) -- Class XXX: eta_b = 6.10e-10 (baryon-to-photon, Planck 2018)
--------------------------------------------------------------------------------
  Hypotheses:
    (1-n_s)^4 = 1.5006e-06
    (1-n_s)^5 = 5.2522e-08
    (1-n_s)^6 = 1.8383e-09
    (1-n_s)^7 = 6.4339e-11
    (1-n_s)^8 = 2.2519e-12

  (1-n_s)^7 * (single atom): need = 9.480986420866905

  (1-n_s)^7 * (a/b): need = 9.480986420866905
    (1-n_s)^7 * (N_ch*27/26) = 9.3462  eta=6.0132e-10  err=-1.422137%
    (1-n_s)^7 * (SO5*243/260) = 9.3462  eta=6.0132e-10  err=-1.422137%
    (1-n_s)^7 * (27/26*N_ch) = 9.3462  eta=6.0132e-10  err=-1.422137%
    (1-n_s)^7 * (243/260*SO5) = 9.3462  eta=6.0132e-10  err=-1.422137%
    (1-n_s)^7 * (243/260/F_TRZ) = 9.3462  eta=6.0132e-10  err=-1.422137%
    (1-n_s)^7 * (SO5/27/26) = 9.6296  eta=6.1956e-10  err=+1.567803%
    (1-n_s)^7 * (N_ch/243/260) = 9.6296  eta=6.1956e-10  err=+1.567803%
    (1-n_s)^7 * (N_ch/n_s) = 9.3264  eta=6.0006e-10  err=-1.630226%
    (1-n_s)^7 * (n_s/F_TRZ) = 9.6500  eta=6.2087e-10  err=+1.782658%
    (1-n_s)^7 * (SO5*n_s) = 9.6500  eta=6.2087e-10  err=+1.782658%
    (1-n_s)^7 * (n_s*SO5) = 9.6500  eta=6.2087e-10  err=+1.782658%
    (1-n_s)^7 * (N_ch*31/30) = 9.3000  eta=5.9836e-10  err=-1.908941%
    (1-n_s)^7 * (31/30*N_ch) = 9.3000  eta=5.9836e-10  err=-1.908941%

  (1-n_s)^7 * (3-atom): need = 9.480986420866905
    (1-n_s)^7 * [416/513 a/b/c 1-n_s 22/9] = 9.4782  eta=6.0982e-10  err=-0.028957%
    (1-n_s)^7 * [416/513 a/b/c 22/9 1-n_s] = 9.4782  eta=6.0982e-10  err=-0.028957%
    (1-n_s)^7 * [N_ch a*b/c n_s 1-F*P] = 9.4745  eta=6.0959e-10  err=-0.067936%
    (1-n_s)^7 * [n_s a*b/c N_ch 1-F*P] = 9.4745  eta=6.0959e-10  err=-0.067936%
    (1-n_s)^7 * [D_BSFG a*b/c 1-F_TRZ SSq] = 9.4737  eta=6.0953e-10  err=-0.077020%
    (1-n_s)^7 * [1-F_TRZ a*b/c D_BSFG SSq] = 9.4737  eta=6.0953e-10  err=-0.077020%
    (1-n_s)^7 * [SO5 a*b*c 1-F*P 31/30] = 9.4722  eta=6.0944e-10  err=-0.092440%
    (1-n_s)^7 * [SO5 a*b*c 31/30 1-F*P] = 9.4722  eta=6.0944e-10  err=-0.092440%
    (1-n_s)^7 * [1-F*P a*b*c SO5 31/30] = 9.4722  eta=6.0944e-10  err=-0.092440%
    (1-n_s)^7 * [1-F*P a*b/c 31/30 F_TRZ] = 9.4722  eta=6.0944e-10  err=-0.092440%

  Li/H * (single atom): need = 3.812506972315843
    Li/H * D_phys       = 4.0000  eta=6.4000e-10  err=+4.917841%

  BEST: eta_b = (1-n_s)^7 * [416/513 a/b/c 1-n_s 22/9] = 6.0982e-10, err = -0.028957%

classXXVIII_LiH_session748: predicted=1.599997e-10 observed=1.600000e-10 error_pct=-1.828801e-04 status=OK
classXXIX_He3H_session748: predicted=1.000000e-05 observed=1.000000e-05 error_pct=-1.694066e-14 status=OK
classXXX_eta_b_session748: predicted=6.098234e-10 observed=6.100000e-10 error_pct=-2.895652e-02 status=OK

--------------------------------------------------------------------------------
DECISION GATE
--------------------------------------------------------------------------------
  Li/H    err = -0.000183%
  3He/H   err = -0.000000%
  eta_b   err = -0.028957%

Artifact: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session748_LiH_He3_eta_result.json
