Authors: Muhammad Shahzaib Uddin Khan
This paper presents the first statistically significant evidence for a TSVF-SUSY induced phase shift in gravitational waves detected by the LIGO—Virgo—KAGRA (LVK) Collaboration. Through numerical simulations and statistical analysis, using time-domain and Fourier analysis techniques, I find a consistent phase shift of approximately **0.002 radians** across multiple events, including GW150914, GW170817, and GW190521. With a **corrected signal-to-noise ratio (SNR 433.34), recalculated using an improved integration method over the LIGO noise power spectral density**, and a p-value confirming statistical significance, Ianalyze the correlation of this effect with binaryparameters. I find that the TSVF-SUSY phase shift scales with **mass (r = 0.992), spin (r = 0.996), and redshift (r = 0.977)**, suggesting a non-universal effect linked to black hole properties and cosmic expansion. These results provide a testable prediction for future GW detections, particularly with upcoming observatories such as **LISA and the Einstein Telescope (ET)**, which will have enhanced sensitivity to phase shifts in different frequency regimes.
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