Gravitational Wave Signatures of Informational Torsion: Predictions for LIGO, Virgo, KAGRA, and LISA

We investigate the observational signatures that informational torsion — arising from extreme informational density in the vicinity of black holes — would imprint on gravitational wave signals, particularly during the ringdown phase of binary black hole mergers. Within the framework of Informational Geometry, torsion emerges as a geometric response when the local density of distinguishable informational states exceeds a critical threshold. This torsional deformation modifies the near-horizon geometry and the effective connection, leading to characteristic deviations from the predictions of general relativity. We identify three main classes of observable effects: (i) small shifts in the frequencies and damping times of the dominant quasi-normal modes, (ii) the possible excitation of additional torsional modes absent in the torsion-free theory, and (iii) faint late-time echoes generated by partial reflection at torsional boundary layers. We discuss the prospects for detecting these signatures with current detectors (LIGO, Virgo, KAGRA) and future observatories (Einstein Telescope, Cosmic Explorer, and LISA), and we outline the conditions under which such effects could be distinguished from other proposed modifications of gravity. This work provides concrete, falsifiable predictions that can be used to test the informational torsion hypothesis using gravitational wave observations.