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SESSION 712 -- mu-chain 4-loop termination test (Class II finite polynomial)
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  Carry-over: tree=1836, delta=1/12000, c_2=128/5, c_3=160
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  New classification rule from S711:
    c_n / c_{n-1} = 3 * K_Mex = 25/4   (G1 Mexican-hat anchor)
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  c_4 hypothesis (locked-rational, two equivalent forms):
    Form A: c_3 * 3 * K_Mex = 160 * 25/4              = 1000
    Form B: (D_crit*D_BSFG + D_phys) * 3 * K_Mex      = 1000
    Form C distractor (3600-60-40, should NOT equal)  = 3500
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  Predicted 4-loop relative shift:
    c_4 * delta^4 = 1000 / 12000^4 = 4.822531e-14
                  = 0.0482 ppt
    CODATA 2018 mu 1-sigma relative = ~6.0e-14 = ~0.06 ppt
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  mu_3loop                         = 1836.1526734300000
  mu_4loop (alternation +c_4)      = 1836.1526734300885
  mu_4loop (repeat-sign -c_4)      = 1836.1526734299114
  CODATA mu                        = 1836.1526734300000
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  residual 3-loop                  = +0.0000e+00   (+0.0000 ppt)
  residual 4-loop (+c_4)           = +8.8542e-11   (+0.0482 ppt)
  residual 4-loop (-c_4)           = -8.8542e-11   (-0.0482 ppt)
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  Termination interpretation:
    - 3-loop already matches CODATA to printed 11 digits (EXACT).
    - Predicted |c_4*delta^4| = 4.82e-14 relative = ~0.048 ppt
    - CODATA uncertainty ~0.06 ppt (1-sigma) -> 4-loop shift is BELOW
      CODATA precision floor for BOTH sign hypotheses.
    - mu-chain is NOT strictly terminating (c_4 != 0), but its 4-loop
      contribution is observationally INDISTINGUISHABLE from termination
      at current CODATA precision.
    - The new K_Mex ratio rule c_n/c_{n-1} = 25/4 survives this slot.
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mu_3loop_baseline: predicted=1.8361526734e+03 observed=1.8361526734e+03 error_pct=+0.000000000000 status=OK
mu_4loop_termination_test: predicted=1.836152673430e+03 observed=1.836152673430e+03 error_pct=+0.00000000000482 status=WARN
Artifact written: C:\Users\tmsjd\source\repos\Daniel8Murphy0007\Star-Magic\_session712_mu_4loop_termination_test_result.json
