CAMBIO DE BASE v1.4

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Abstract (English)

We present a parameter-free unification of General Relativity and Quantum Field Theory derived from the premise that spacetime geometry is emergent from entanglement entropy. By imposing exact, non-perturbative Planck-scale constraints on the entanglement structure of quantum fields—specifically, saturation of the Reeh-Schlieder entropy bound and vanishing information flux—we derive the Einstein field equations from quantum entanglement principles. The theory predicts a discrete, non-commutative spacetime geometry at the Planck scale, with the Bekenstein-Hawking entropy emerging as a direct consequence of entanglement entropy across horizons. We derive the Standard Model gauge groups SU(3)×SU(2)×U(1) and the observed mass hierarchies of fundamental particles from the entanglement structure without introducing additional parameters. The model makes precise, falsifiable predictions: deviations from Newton's 1/r² law at sub-micron scales, specific modifications to black hole entropy, and a resolution to the black hole information paradox. We extend the framework to cosmology, providing a unified explanation for dark matter and dark energy as manifestations of entanglement pressure. Finally, we propose a testable mechanism for quantum gravity-induced decoherence in macroscopic superposition states, offering a possible interpretation of physical laws as observer-dependent.