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

ROSSI, ALESSANDRO

doi:10.5281/zenodo.18881246

Published March 5, 2026 | Version v1

Preprint Open

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

ROSSI, ALESSANDRO¹

1. Independent Researcher

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.

Abstract (English)

We propose a scalar–tensor extension of general relativity in which spacetime curvature is non-minimally coupled to an emergent scalar field representing macroscopic informational coherence. The model originates from a microscopic entropy functional defined on a differentiable state manifold, where syntropic regions are identified as domains characterized by negative average entropy production. The associated measure of coherence is promoted to an effective scalar degree of freedom at macroscopic scales.

The resulting framework modifies Einstein’s equations through a non-minimal coupling between curvature and the coherence field. Cosmological dynamics are derived for a spatially flat Friedmann–Lemaître–Robertson–Walker background, and the stability of de Sitter solutions is analyzed. The model admits stable attractor solutions under suitable conditions on the effective mass of the scalar field and the positivity of the gravitational coupling function.

In the weak-coherence regime, standard general relativity is recovered, and tensor perturbations propagate at the speed of light. For finite coherence amplitudes, the theory exhibits dynamics analogous to Brans–Dicke–type scalar–tensor gravity. This construction provides a consistent effective field-theoretic realization of informationally coupled gravity and suggests possible deviations from general relativity in regions characterized by high informational coherence.

Files