Future Convergence Theory and Quantum Mechanics: An Extended Theoretical Framework

This paper extends the original framework of Future Convergence Theory by incorporating elements from general relativity, quantum mechanics, information theory, and cognitive science into a unified mathematical model. The study introduces a Future Determinacy Function F(T), which evolves under the influence of spacetime geometry, quantum probability distributions, and entropy changes associated with conscious states.We propose the following key extensions:1.Integration with General Relativity: The future determinacy is affected by spacetime curvature, modeled via a term proportional to G_{\mu\nu} U^\mu U^\nu.2.Quantum Mechanical Influence: The future determinacy modifies the Schrödinger equation by introducing a correction term - i \lambda F \Psi, implying that the collapse of quantum states is influenced by the degree of future convergence.3.Information-Theoretic Considerations: The evolution of consciousness is linked to entropy changes, described by \frac{dC}{dT} = -\alpha C + \beta U(T) + \gamma \frac{dS}{dT}, suggesting that conscious perception may depend on the flow of future information.4.Experimental Considerations: We propose that these theoretical predictions could be tested through quantum experiments, EEG-based cognitive studies, and astrophysical observations of local spacetime perturbations.This work aims to redefine the nature of time, probability, and consciousness by suggesting that future information may causally influence the present, challenging classical causality and introducing a novel physical interpretation of temporal determinacy.