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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15288461 |
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Table of Contents:
- <p>Presenting a full, first-principles derivation showing that gravity and quantum measurement both arise from the same quantum operation: structured forgetting via partial trace over inaccessible degrees of freedom. Starting from an explicit Hamiltonian in Rindler coordinates, we compute the UV-regulated thermal two-point correlator, derive the exact decoherence kernel Gamma(x) proportional to 1/(x^2 + epsilon^2), and show that tracing out horizon modes induces an entropic force scaling as F(x) proportional to 1/x^2. Calculating the reduced density matrix, entropy S(x), entropic force F(x), and entropic stress-energy tensor T^ent_{mu nu} explicitly, recovering Einstein's field equations in the weak-field limit. No new postulates, fields, or dimensions are introduced: gravity and collapse emerge from standard quantum mechanics under horizon-imposed coarse-graining. This framework unifies quantum decoherence and gravitation under one structure and provides direct experimental pathways for testing structured forgetting across analogue horizons.</p>