Extended Future Convergence Theory: Implications for Black Holes, Dark Matter, and Cosmology

This paper extends the Future Convergence Theory (FCT) and explores its implications for black holes, dark matter, and dark energy. The theory introduces the future certainty function F(T), which governs the progression of time and its influence on spacetime curvature. By modifying Einstein’s field equations to incorporate F(T), we propose a new approach to several fundamental problems in modern physics.1.Black Holes: We demonstrate that inside the event horizon, F(T) \to 1, naturally leading to time stoppage and offering a new perspective on the singularity problem.2.Dark Matter: The observed gravitational effects attributed to dark matter may result from fluctuations in F(T), rather than a yet-undiscovered particle. This suggests that dark matter is an emergent gravitational effect of future certainty variations.3.Dark Energy and Cosmic Expansion: The acceleration of the universe’s expansion may be linked to variations in F(T), potentially offering an alternative explanation for dark energy.This work proposes a novel framework that unifies time evolution, gravity, and cosmology. Further observational studies and theoretical developments are necessary to validate this framework and explore its broader implications for quantum mechanics and fundamental physics.