Wednesday, 19 November 2025

Mass-Independent Scaling of Quasi-Normal Mode Corrections in Unified Quantum Gravity

Here, we investigate the universality of quasi-normal mode (QNM) frequency corrections in Unified Quantum Gravity (UQG) across a wide range of black hole masses (M in [1, 100] M_sun) and spins (a in [0, 0.9]). Through systematic parameter space exploration, we discover that the ratio of imaginary to real frequency corrections, |Δω_I/Δω_R|, exhibits exact mass independence but strong spin dependence. We find |Δω_I/Δω_R| = 2.79 ± 0.90, varying from 3.81 (Schwarzschild) to 1.43 (near-extremal Kerr). This behavior is explained by the universal UQG correction ratio α2/α1 ≈ 16 combined with spin-dependent GR frequency ratios. The exact mass independence provides strong evidence for holographic scaling (S ~ N^2) and represents a falsifiable prediction: any observed mass dependence would rule out UQG. Our results refine theoretical predictions and establish testable signatures for gravitational wave observations with LIGO, Virgo, and future detectors.

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