Quantum Emergence of Black Holes and Dark Matter

Within the theoretical framework of quantum and relativistic physics, the absence of a more comprehensive explanation regarding the emergence of dark matter and black holes still persists (1). Such a gap could potentially be bridged by adopting an alternative approach and modifying the relationship between phase and group velocity(2). The approach developed expands the quantumrelativistic framework without contradicting its fundamental principles, offering a coherent and rigorous reinterpretation of anomalous phenomena that challenge conventional interpretations(3). Which allows us to examine the effects, properties, and dynimic of dark matter and black holes. This proposition enables a deeper understanding of the processes involved in gravitationally collapsing stars and the Big Bang (4), as well as the link between the phase-group velocity relationship and mass or curvature(5), thereby providing new conceptual tools to explore what has, until now, remained misunderstood within the current paradigm.