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This study presents a computational framework for evaluating the detectability of white hole-induced gravitational wave signals and their imprints on the cosmic microwave background (CMB). The approach integrates stochastic gravitational wave background (SGWB) polarization data from LISA with CMB-S4 B-mode anisotropies, utilizing Monte Carlo simulations, Bayesian inference, and signal-to-noise ratio (SNR) estimations to determine detection feasibility.

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