Registry · Definition V.D263 tau-effective formalized

V.D263 — Metric vs Capacity Source Distinction

Metric vs Capacity Source Distinction: Capacity-sourced (linearized PDE): u ~ GM/(c²r) → v² ~ GM/r (Keplerian, c cancels). Metric-sourced (full τ-Einstein via a₀): a₀ = c²/(2ℓ_τ) → v⁴ = GM·a₀ (flat). Capacity gives SHAPE (K₀→log→flat). Metric coupling gives AMPLITUDE (correct v).

Book V Part 5 Ch. 37

Dependency Graph

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Lean Formalization

Module: TauLib.BookV.Astrophysics.RotationCurves

Symbol: Tau.BookV.Astrophysics.metricVsCapacitySource