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arXiv:quant-ph/0007085 · Physics Letters A

EPR effect in gravitational field: nature of non-locality

H.‐H. von Borzeszkowski, Michael B. Mensky

Published May 1, 2000• 18 citations
arXivHTMLPDF
DOI
10.1016/s0375-9601(00)00230-9

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We construct a class of wormhole geometries supported by the non-local gravitational self-energy that regularizes the particle and black-hole sectors of spacetime. Using this framework, inspired by T-duality, we show that two entangled particles (or particle-black-hole pairs) naturally source an Einstein-Rosen-type geometry in which the required violation of the strong energy condition arises from intrinsic quantum-gravity effects rather than from ad hoc exotic matter, which is matter that violates the null energy condition. We classify the resulting wormholes, analyze their horizons, throat structure and embedding properties, and we identify the exotic energy needed at the minimal surface. Imposing the ER=EPR requirement of non-traversability and the absence of a macroscopic throat, we find that only the zero-throat geometry is compatible with an entanglement-induced Einstein-Rosen bridge, providing a concrete realization of ER=EPR within a fully regular spacetime. Finally, we briefly discuss possible implications for microscopic ER networks from vacuum fluctuations, replica-wormhole interpretations of Hawking radiation, and possible links to entanglement-driven dark-energy scenarios.

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ABSTRACT The Einstein–Podolsky–Rosen (EPR) paradox challenges the completeness of quantum mechanics by presenting correlations between spatially separated systems that appear instantaneous and acausal. This paper resolves the paradox using the Λ–Ω Advanced Scalar Field Law, a field-theoretic framework unifying gravitation, inertia, and quantum coherence. In this model, matter’s inertial and gravitational properties arise from phase-locked coupling to a universal Λ-field. Quantum entanglement corresponds to shared coherence modes of this field. Measurement induces a transient “in-between” phase of partial decoupling, enabling instantaneous re-coherence without violating causality. We derive the EPR correlation function E(a,b) = −cos θab from the Λ–Ω equations, showing Bell-type correlations arise naturally from shared Λ-phase modes. Predictions for empirical tests, including modulated entanglement strength via engineered perturbations, are outlined. The model restores realism, embeds non-locality within field structure, and is consistent with prior simulations (e.g., α ≈ 1.3, A0 = 0.55, σω = 0.08). Note: This preprint has been cryptographically timestamped via the OpenTimestamps protocol (SHA-256: 527e0014cd53d50042522cabf1c3393b4d4ad1c5785a5a041d4a6730b0a80f8b, Bitcoin Block #923494, November 13, 2025 MST) to verify authorship and immutability.

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Einstein Locality and the Quantum Mechanical Long-Distance Effects

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Springer eBooks•Jan 1, 1980•4 citations
We construct a class of wormhole geometries supported by the non-local gravitational self-energy that regularizes the particle and black-hole sectors of spacetime. Using this framework, inspired by T-duality, we show that two entangled particles (or particle-black-hole pairs) naturally source an Einstein-Rosen-type geometry in which the required violation of the strong energy condition arises from intrinsic quantum-gravity effects rather than from ad hoc exotic matter, which is matter that violates the null energy condition. We classify the resulting wormholes, analyze their horizons, throat structure and embedding properties, and we identify the exotic energy needed at the minimal surface. Imposing the ER=EPR requirement of non-traversability and the absence of a macroscopic throat, we find that only the zero-throat geometry is compatible with an entanglement-induced Einstein-Rosen bridge, providing a concrete realization of ER=EPR within a fully regular spacetime. Finally, we briefly discuss possible implications for microscopic ER networks from vacuum fluctuations, replica-wormhole interpretations of Hawking radiation, and possible links to entanglement-driven dark-energy scenarios.
ABSTRACT The Einstein–Podolsky–Rosen (EPR) paradox challenges the completeness of quantum mechanics by presenting correlations between spatially separated systems that appear instantaneous and acausal. This paper resolves the paradox using the Λ–Ω Advanced Scalar Field Law, a field-theoretic framework unifying gravitation, inertia, and quantum coherence. In this model, matter’s inertial and gravitational properties arise from phase-locked coupling to a universal Λ-field. Quantum entanglement corresponds to shared coherence modes of this field. Measurement induces a transient “in-between” phase of partial decoupling, enabling instantaneous re-coherence without violating causality. We derive the EPR correlation function E(a,b) = −cos θab from the Λ–Ω equations, showing Bell-type correlations arise naturally from shared Λ-phase modes. Predictions for empirical tests, including modulated entanglement strength via engineered perturbations, are outlined. The model restores realism, embeds non-locality within field structure, and is consistent with prior simulations (e.g., α ≈ 1.3, A0 = 0.55, σω = 0.08). Note: This preprint has been cryptographically timestamped via the OpenTimestamps protocol (SHA-256: 527e0014cd53d50042522cabf1c3393b4d4ad1c5785a5a041d4a6730b0a80f8b, Bitcoin Block #923494, November 13, 2025 MST) to verify authorship and immutability.