GravitationalWaves Memory Effect: Detection of Signals from Phantom Black Holes and the CMB by the LIGO-Virgo-KAGRA-LISA Interferometers

Based on the trans-Planckian quantum origin of the universe, as developed by Norma Sanchez, and on the conformal cyclic cosmology proposed by Penrose, we demonstrate the possibility for the LIGO-Virgo-KAGRA-LISA detectors to observe the signal from the memory effect of gravitational waves emitted by phantom black holes, as well as that from the cosmic microwave background, using the theory of general relativity. In this study, we refer to the models developed by authors J. Defo and K. Kuetche, \( {\it JETP} {\bf 135} \) 3 (2022) and arXiv:2506.10053, who suggest that it is conceivable, from a coupling of \( ‘’+'‘ \) and \( ’'\times'' \) polarizations, to generate a gravitational wave signal analogous to that detected by LIGO-Virgo-KAGRA. We use this framework to explore and extract information from the Trans-Planckian quantum universe in the form of gravitational waves , while clarifying the notion of accelerating expansion of the universe without recourse to dark energy.