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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15288461 |
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| _version_ | 1866902127300837376 |
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| author | Edmonds, Victor |
| author_facet | Edmonds, Victor |
| 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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15288461 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Partial-Trace Origin of Quantum Collapse and Spacetime Curvature Edmonds, Victor <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> |
| title | A Partial-Trace Origin of Quantum Collapse and Spacetime Curvature |
| url | https://doi.org/10.5281/zenodo.15288461 |