Wald entropy ratio S_DCT / S_GR

Prediction	P_0 · S_BH(GR) = 0.851 · S_BH
Measured	theorem
Residual	0
Status	hit
Source paper	DCT-FND-V2 · 10.5281/zenodo.20032839

Mechanism

Standard Iyer–Wald applied to Brans–Dicke. Black-hole entropy scales by the scalar amplitude P_0. Exact consequence of the Iyer–Wald algorithm on the BD action.

Derivation

Standard Iyer–Wald applied to Brans–Dicke. Black-hole entropy scales by the scalar amplitude P_0. Exact consequence of the Iyer–Wald algorithm on the BD action.

The closed-form prediction is

$$ \text{predicted} = P_0 · S_BH(GR) = 0.851 · S_BH $$

against the measurement theorem, giving residual 0.

Python verification

The verification script for this observable is astrophysical_tests.py. Run it with python3 astrophysical_tests.py to reproduce the canonical DCT result against the public-archive measurement source listed above (Theorem.).

References

No external references for this entry — theorem or internal derivation.
Source paper: DCT-FND-V2 · 10.5281/zenodo.20032839

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