Registry · Theorem
V.T185
tau-effective
formalized
V.T185 — QNM Frequency Ratio = ι_τ⁻¹ ≈ 2.930 as Clean S²/T² Discriminator
The T² QNM frequency ratio ω(0,1)/ω(1,0)=ι_τ⁻¹≈2.930 is a clean discriminator against S² (Schwarzschild overtone ratio ≈0.928). No parameter overlap: T² predicts [2.5,3.4], S² predicts [0.8,1.1]. For GW150914: T² inner mode at ~789 Hz vs outer at ~269 Hz. Any GW detector resolving two QNM frequencies can distinguish T² from S² topology.
Book V
Part 6
Ch. 50