Registry · Theorem V.T208 tau-effective formalized

V.T208 — Two-Channel Interpolation Theorem

Two-Channel Interpolation Theorem: the decomposition g² = g_N² + g_N·a₀ defines ν_2ch(y) = √(1+1/y) with y = g_N/a₀. Newtonian limit (y>>1): ν→1, g→g_N. Deep regime (y<<1): ν→1/√y, g→√(g_N·a₀), giving v⁴ = GM·a₀ (BTFR). Both asymptotic regimes agree with standard μ_τ interpolation.

Book V Part 5 Ch. 37

Dependency Graph

Depends on (2)

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Lean Formalization

Module: TauLib.BookV.Astrophysics.RotationCurves

Symbol: Tau.BookV.Astrophysics.two_channel_interpolation