# Quantum-phase-field concept of matter: Emergent gravity in the dynamic universe

## TL;DR

This paper proposes a monistic energy-based framework where matter and gravity emerge from quantum-phase-fields, predicting scale separation and repulsive distant interactions, aligning with cosmic void observations.

## Contribution

It introduces a novel quantum-phase-field model of matter and gravity, deriving universe evolution from thermodynamics and predicting emergent gravitational effects.

## Key findings

- Gravity emerges from quantum fluctuations in finite space.
- Predicts a scale separation in space and distant mass repulsion.
- Aligns predicted marginal distance with cosmic void sizes.

## Abstract

A monistic framework is set up where energy is the only fundamental substance. Different states of energy are ordered by a set of scalar qunatum-phase-fields. The dual elements of matter, mass and space, are described as volume- and gradient-energy contributions of the set of fields, respectively. Time and space are formulated as background-independent dynamic variables. The evolution equations of the body of the universe are derived from first principles of thermodynamics. Gravitational interaction emerges from quantum fluctuations in finite space. Application to a large number of fields predicts scale separation in space and repulsive action of masses distant beyond a marginal distance. The predicted marginal distance is compared to the size of the voids in the observable universe.