Entanglement-Based Relational Gravity

Description / Abstract:We present Entanglement-Based Relational Gravity (EBRG), a complete theoretical framework in which gravitational dynamics and spacetime geometry emerge from the quantum entanglement structure of a fundamental relational quantum state. The theory is built upon three operational postulates requiring no background geometry and derives Einstein's field equations from first principles through a rigorous variational principle on entanglement measures. EBRG provides unified explanations for multiple phenomena: it resolves the Big Bang singularity as a coherence horizon, offers a natural mechanism for dark energy through cosmic entanglement dilution, suggests entanglement-based modifications to gravitational dynamics that could account for dark matter effects, derives black hole entropy from horizon entanglement, and provides a relational interpretation of quantum measurement and observables. The framework makes several specific, falsifiable predictions for cosmology, including a modified primordial power spectrum with logarithmic running at large scales, a suppressed tensor-to-scalar ratio, and a time-varying dark energy equation of state. Full mathematical derivations, numerical results, and extended discussions are provided in the supplementary material (available upon request). Keywords:Quantum Gravity, Entanglement, Emergent Spacetime, Cosmology, Dark Energy, Dark Matter, Relational Physics