Registry · Theorem V.T209 tau-effective formalized

V.T209 — Algebraic Distinctness from Standard MOND

Algebraic Distinctness: ν_2ch(y) = √(1+1/y) is algebraically distinct from standard Bekenstein ν_std(y) = √((1+√(1+4/y²))/2). Max difference +12% at y ≈ 1–2 (transition region). Both share identical deep-MOND and Newtonian asymptotics. Two-channel satisfies quadratic implicit equation g²−g_N²−g_N·a₀=0; standard satisfies quartic.

Book V Part 5 Ch. 37

Dependency Graph

Depends on (2)

Lean Formalization

Module: TauLib.BookV.Astrophysics.RotationCurves

Symbol: Tau.BookV.Astrophysics.algebraic_distinctness