Registry · Definition
V.D242
tau-effective
formalized
V.D242 — T² QNM Eigenvalue Structure: ω_{n,m} = √(n²+m²ι_τ⁻²)/(2πr_s)
T² QNM eigenvalue structure: ω_{n,m} = √(n²+m²·ι_τ⁻²)/(2π·r_s) where r_s=2GM/c². First three overtones: (1,0) outer cycle at f₁₀, (0,1) inner cycle at f₁₀·ι_τ⁻¹, (1,1) diagonal at f₁₀·√(1+ι_τ⁻²). For GW150914 (62 M_☉): f(1,0)≈269 Hz, f(0,1)≈789 Hz, f(1,1)≈833 Hz.
Book V
Part 6
Ch. 50