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This randomized trial derives observable predictions in physics, highlighting foundational implications.
We present a derivational spine for the Φ₀ framework. Starting from a 5D Einstein-Hilbert action with brane tension, we derive a unique dimensionless coupling Φ₀ = (6/5)ζ(3) - 1 = 0.0606610778 from Kaluza-Klein phase-space reduction, without empirical input. The modified 4D field equations yield a spherically-symmetric vacuum solution producing three correlated, parameter-free predictions: 1. M87* Photon Ring: η = √{1 + Φ₀} = 1.03033, a 3.03% diameter enhancement vs GR2. Hubble Tension: H₀ = 70.12 km/s/Mpc, 0.03σ from DESI 2024 3. Chromatic Redshift: α = 1/2, yielding 21% spectral differential at ngEHT bands All observables derive from one action. Falsification of η at >5σ by ngEHT 2027 falsifies the framework. Zero free parameters.
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Ali Alhwarat (2026) studied this question.
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