Entropic Curvature in Discrete Quantum Spacetime: A Framework for Irreversible Field Dynamics

This paper introduces a new theoretical framework to study how informationrelated quantities like entropy influence the geometry of spacetime at the quantum level. We propose an entropic curvature model on discrete quantum geometries, where the flow of entropy across spacetime links defines irreversible field behavior. The formalism builds on a lattice-like structure where fields evolve under nonreversible dynamics governed by entropic gradients, rather than purely unitary operators. Mathematical expressions are derived to describe this curvature-entropy connection, and we present original simulations to analyze how information flow can shape local geometric behavior. The results offer insight into how spacetime and gravity might emerge from deeper informational and algebraic structures.