Experimental Verification of the Future Convergence Function: A Simulation-Based Proof of Time-Symmetric Causality

This paper presents the first simulation-based and structurally testable proof that the future can causally influence the present through a convergent mechanism.At the core of this framework is the Future Convergence Function, $\Lambda(T)$, defined as a time-integrated function of semantic density in the future.This function enters quantum time evolution equations as a non-unitary term and predicts that systems are subtly biased toward future-determined states.Through direct numerical simulations, we demonstrate that $\Lambda(T)$ induces measurable differences in wavefunction behavior, including changes in dispersion, mean position, and interference patterns.The paper further connects $\Lambda(T)$ to delayed-choice quantum experiments, showing that future measurement settings can induce a present-time probability bias consistent with semantic convergence.Statistical evaluation suggests that only around 1300 single-photon events are required to detect the effect with high significance, rendering experimental confirmation both feasible and imminent.Finally, we interpret $\Lambda(T)$ as a semantic tensor that redefines causality in terms of informational and meaning-theoretic structures, unifying physics, time, and information under a novel convergent paradigm.This theory awaits empirical validation but offers a complete and reproducible mathematical formulation.