Syntropic Regions in Informational Gravity: A Non-Minimally Coupled Scalar-Tensor Model

This repository contains the manuscript “Syntropic Regions in Informational Gravity: A Non-Minimally Coupled Scalar-Tensor Model”. The work proposes a scalar–tensor extension of general relativity in which spacetime curvature non-minimally couples to an emergent scalar field representing macroscopic informational coherence. The scalar field arises from coarse-graining a microscopic entropy functional defined on a differentiable state manifold, where syntropic regions are identified as domains of negative average entropy production. The paper derives the full modified Einstein equations, the Klein–Gordon equation for the coherence field, and the cosmological dynamics for a spatially flat Friedmann–Lemaître–Robertson–Walker universe. Stability conditions for de Sitter solutions are obtained, and the Newtonian limit is analyzed to recover standard gravity in the weak-coherence regime. The model reduces to general relativity for small coherence amplitudes and exhibits Brans–Dicke–type behavior at finite amplitudes. The framework provides a consistent effective field-theoretic realization of informationally coupled gravity and outlines potential observational signatures in regions of high informational coherence. The repository includes the full PDF manuscript and, optionally, LaTeX source files.