Experimental Tests of the Black Hole Entropy Prediction of the Order Parameter Spacetime Theory — Gravitational Wave and Black Hole Shadow Observations

The Order Parameter Spacetime Theory provides an exclusive explanation for the microscopic origin of black hole entropy: S = ∫Ξ dA, the area integral of information dissipation at the horizon. Starting from the information-Einstein equation, the theory rigorously derives the Bekenstein-Hawking entropy formula S = A/4 at a type-B traversable singularity. The derivation chain depends on four core scaling relations, tested here by four independent observational channels. Channel 1 extracts the ratio C_τ ≡ τ/r_s from the ringdown phase of binary black hole mergers in LIGO/Virgo/KAGRA GWTC-3 public data, testing whether it is constant via χ² and Kolmogorov-Smirnov tests—a veto test: if C_τ is not constant, the type-B singularity scaling is excluded. Channel 2 searches for the information dissipation-electromagnetic coupling constant η using EHT spatially resolved spectral index data of M87* and Sgr A*, with Bayesian model selection—standard GR predicts η≡0. Channel 3 searches for the information dissipation wake amplitude A_tail in the post-merger power spectrum of high-SNR GWTC-3 events—standard GR predicts A_tail≡0. Channel 4 tests whether the information dissipation scaling combination C_Υ ≡ Υ·r_s is constant in a BEC acoustic black hole experiment—a quantity unique to this theory. If all channels are positive (Bayes factor K>3), S = ∫Ξ dA is experimentally locked. If any channel reaches the falsification threshold (K<1/3), the explanation is excluded. Complete operational steps, formulas, and decision thresholds are provided for each channel.