Registry · Proposition
V.P124
tau-effective
formalized
V.P124 — T² Shadow Radius vs EHT
For M87* (M=6.5×10⁹ M_☉, d=16.8 Mpc): GR photon sphere prediction R_shadow=3√3GM/c² gives θ_GR=19.85 μas (EHT observed: 42±3 μas; the EHT ring includes photon ring amplification). T² outer torus angular size θ_τ=4πGM/(c²d)=48.00 μas (within 14% of EHT at R_S scale). The τ-BH shadow requires photon orbit analysis in T² geometry; exact photon sphere radius in T² is an open problem. Scope conjectural until T² photon orbit derived.
Book V
Part 6
Ch. 50