Entanglement-Based Relational Gravity
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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
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aiXiv_completa.pdf
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2026-01-18We 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. All mathematical derivations are provided in the supplementary material (available upon request).
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References
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- Van Raamsdonk, M. "Building up spacetime with quantum entanglement", Gen. Rel. Grav. 42, 2323–2329 (2010), https://doi.org/10.1007/s10714-010-1034-0
- Maldacena, J. "The large-N limit of superconformal field theories and supergravity", Int. J. Theor. Phys. 38, 1113–1133 (1999), https://arxiv.org/abs/hep-th/9711200