The effect of introducing the value (-c) on wave function collapse and quantum particles at event horizon

Abstract The inconsistency between quantum mechanics and general relativity has motivated the search for modifications that could bridge the gap between them. In this study, we analyze the effect of introducing into quantum mechanics equations and its impact on two fundamental phenomena: wave function collapse and quantum particle behavior at the event horizon of black holes. We propose that the probability of wave function collapse depends on the velocity difference between the particle and the speed of light, making the collapse a velocity-dependent process rather than a purely random event. Additionally, we explore how this modification relates to the firewall theory and holographic complementarity, suggesting that deviation forces play a role in information preservation at the black hole horizon.