Gravitational Interactions with Information Dynamics

Mahgoub Salih^*

• Qassim University, Ar Rass, Saudi Arabia

We present a comprehensive formulation of a theoretical framework focusing on gravitational interactions mediated by a classical information density field derived from coarse-grained Shannon entropy of matter field configurations. This framework demonstrates how information content influences spacetime curvature through thermodynamically motivated couplings, focusing specifically on gravitational interactions as the foundational step toward understanding information's role in fundamental physics. We (i) derive the information field from nuclear-scale classical field statistics, ensuring observer independence through coordinate-invariant scalar construction, (ii) establish coupling constants using hadronic thermodynamics, (iii) prove gauge invariance, including novel information gauge symmetries, and (iv) enhance experimental feasibility with detailed error budgets and differentiation from alternative theories. The theory predicts modified gravitational lensing (δ ∼ 10 -8 ) and quantum phase shifts (∆ϕ ∼ 10 -12 rad), testable within 1-5 years via astrometry and interferometry. Comprehensive derivations, Python verification code with simulation results, and professional diagrams ensure rigor and reproducibility. This work establishes information-theoretic gravity as a testable paradigm, bridging classical relativity and quantum information.