This project addresses one of the most fundamental open questions in physics: What is the true nature of gravity? We will advance the recently proposed Gravity from Entropy (GfE) framework [Bianconi, Phys. Rev. D, 2025], which postulates that gravity has a statistical mechanics and information theory nature. In this approach, gravitational dynamics arise from the Geometric Quantum Relative Entropy between two spacetime metrics—the physical metric and that induced by matter and curvature.
This Gravity from Entropy (GfE) project aims to develop a complete, testable, statistical-mechanics-based theory of quantum gravity that unifies general relativity and quantum mechanics through the principles of information theory.
The project will:
- Derive cosmological and thermodynamic predictions of GfE, including its implications for dark energy, inflation, and singularity avoidance together with predictions in the weak-field limit.
- Extend the theory to include Dirac fields, incorporating fermionic matter within a unified geometric and algebraic framework.
- Formulate the second quantization of GfE, developing its Hamiltonian structure and quantizing the G-field to achieve a background-independent theory of quantum gravity.
By grounding gravity in information geometry, GfE transcends existing entropic or thermodynamic models, providing the first local and variationally defined action that directly links geometry, entropy, and quantum theory. The project’s outcomes are expected to reshape our understanding of spacetime, offering testable predictions for cosmology and guiding future theoretical and experimental explorations of quantum gravity.
Given the growing interest in entropy-based gravity, this work is expected to generate high impact and guide future theoretical developments and experimental tests of quantum gravity.
