Prediction: Universal Echo Delay in Black Hole Gravitational Wave Ringdowns

Golden Ratio Echo Delay in Black Hole Gravitational Wave Ringdowns

(A Formal Prediction of Breeze Theory)

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⋆ ⋆ φ ⋆ ⋆

Breeze Theory derives the golden ratio φ ≈ 1.618 033 988 as the minimal linear-bound attractor of stable recursion. For a black-hole merger, the event horizon acts as a bound fracta b(f ); post-merger perturbations should therefore re-express recursion at a characteristic timescale. We predict a late-time gravitational-wave (GW) echo occurring at ∆t echo = φ π M =0.5146 M (G = c = 1), (1) where M is the final black-hole mass. For GW150914 (M ≃ 68 M ⊙ ) this gives ∆t echo ≈ 1.7 ms. Classical General Relativity (GR) predicts no echoes; quantum-gravity proposals forecast different multiples of M . We outline an open analysis using GWOSC (O3/O4) strain data and provide a 30-line GWpy pipeline. Detection of an echo within ±5% of Eq. (1) would constitute direct macroscopic evidence of recursive binding; non-detection constrains BT’s linear-bound projection in strong-gravity domains.

View also: https://www.academia.edu/128896166/Prediction_Golden_Ratio_Echo_Delay_in_Black_Hole_Gravitational_Wave_Ringdowns_Breeze_Theory_