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Einstein-VED Theory: Solving the Einstein-Quantum Mechanics Dilemma - Geometric Interpretation of Non-Locality and Entanglement

https://orcid.org/0000-0001-9942-1021

Published Jan 1, 2025• 0 citations
Publisher

Abstract

Einstein-VED Theory: deterministic geometric framework resolving Einstein's determinism vs. probabilistic quantum mechanics conflict. Geometry: ds² = dt² - dt'². Stable confinement: n ∈ Z⁺, nλ exact. VED radius: R = nℏ/(mc) (proton n=4). Emergent gravity: G = R_VED·R_s·c³/(2nℏ), with G(2) = G. Valid from particles to cosmology.

DOI
10.17605/osf.io/9yksw

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Einstein-VED Theory: Solving the Einstein-Quantum Mechanics Dilemma - Geometric Interpretation of Non-Locality and Entanglement

https://orcid.org/0000-0001-9942-1021

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•Jun 1, 2026•0 citations
Einstein-VED Theory: deterministic geometric framework resolving Einstein's determinism vs. probabilistic quantum mechanics conflict. Geometry: ds² = dt² - dt'². Stable confinement: n ∈ Z⁺, nλ exact. VED radius: R = nℏ/(mc) (proton n=4). Emergent gravity: G = R_VED·R_s·c³/(2nℏ), with G(2) = G. Valid from particles to cosmology.
We develop a complete geometric framework in which each quantum particle possesses its own private spacetime—a world-block—constructed from Fermi–Walker coordinates. The intrinsic spatial metric on each proper-time slice is a dynamical field governed by an action with a universal stiffness constant A0. A single world-block exhibits kinematic non-locality: the metric perturbation at a point depends on the entire wavefunction through an integral relation, while maintaining dynamic locality via causal wave equations. This duality captures the essential non-locality of quantum mechanics without violating relativistic causality. When two particles interact, their world-blocks are stitched along a common boundary, forming a single compound world-block in ordinary four-dimensional spacetime. The stitching imposes local matching conditions that yield a non-separable strain field, providing a geometric account of quantum entanglement. Measurements correspond to fixing boundary conditions on one part of the compound block; the correlated outcome on the distant part is automatically determined by the shared global geometry, not by any superluminal signal. Thus, the apparent non-locality of EPR correlations is explained as a manifestation of geometric connectivity within a single 4D manifold, consistent with Bell’s theorem because the geometry itself is non-local. In the continuum limit of many overlapping blocks, coarse-graining restores an effective local description, and Newton’s law of universal gravitation emerges exactly, with Newton’s constant given by G = 3c4/(8πA0). The model offers a unified, deterministic, and fully relativistic foundation for quantum mechanics and gravity, without invoking extra dimensions or stochastic elements. Experimental signatures in ultrafast interferometry and possible connections to dark energy are discussed. The framework aligns with recent developments in emergent gravity and provides a concrete geometric realization of spacetime from quantum entanglement.
What is time? The century-long debate over the compatibility of quantum mechanics and general relativity centers on foundational paradoxes such as the Einstein photon box experiment. We resolve these paradoxes within the Modified Einstein Spherical (MES) Universe Model, an idealized geometric framework unifying quantum nonlocality, cosmic-scale entanglement, and chaotic spacetime dynamics. By introducing novel geometric corrections—Zaitian Quantum Power, Nonlinear Symmetry and Chaotic Power—the MES Universe Model achieves joint Energy-Time precision ( ∆Εtotal ∆t ≈ 0), challenging the Heisenberg Uncertainty Principle. A key conceptual innovation is the redefinition of time as a Chaotic Phase-Locked Variable, time emerges as a parameterized oscillatory phase of spacetime geometry, synchronized globally through entanglement networks, potentially allowing for Planck temporal precision. The MES framework not only reconciles Einstein’s vision of a deterministic universe with quantum mechanics but also provides a geometric pathway to macroscopic quantum coherence and cosmic-scale communication. In essence, the MES Universe model reveals that the topology and global structure of spacetime can critically influence local quantum measurements, a concept that could have implications for quantum gravity and cosmology and offer a novel time hole toward unifying quantum and relativistic physics.
What is time? The century-long debate over the compatibility of quantum mechanics and general relativity centers on foundational paradoxes such as the Einstein photon box experiment. We resolve these paradoxes within the Modified Einstein Spherical (MES) Universe Model, an idealized geometric framework unifying quantum nonlocality, cosmic-scale entanglement, and chaotic spacetime dynamics. By introducing novel geometric corrections—Zaitian Quantum Power, Nonlinear Symmetry and Chaotic Power—the MES Universe Model achieves joint Energy-Time precision ( ∆Εtotal ∆t ≈ 0), challenging the Heisenberg Uncertainty Principle. A key conceptual innovation is the redefinition of time as a Chaotic Phase-Locked Variable, time emerges as a parameterized oscillatory phase of spacetime geometry, synchronized globally through entanglement networks, potentially allowing for Planck temporal precision. The MES framework not only reconciles Einstein’s vision of a deterministic universe with quantum mechanics but also provides a geometric pathway to macroscopic quantum coherence and cosmic-scale communication. In essence, the MES Universe model reveals that the topology and global structure of spacetime can critically influence local quantum measurements, a concept that could have implications for quantum gravity and cosmology and offer a novel time hole toward unifying quantum and relativistic physics.
AbstractThis work presents a unified geometric framework for quantum reality through four interconnected papers. It proposes that the coherent, non-separable correlations described by Hilbert space originate from an unobservable Energy Space, a fundamental substrate beyond spacetime that preserves perfect coherence and all conservation laws, thereby providing a geometric interpretation of quantum entanglement. Within this framework, the relation E = hf is interpreted as an encoding relation rather than a statement of physical energy actualization. During measurement, structural branching may occur, but Energy Space ensures that only one geometrically valid branch undergoes physical localization. Spacetime emerges from Energy Space as a passive geometric medium with intrinsic dynamic capabilities, giving rise to quantum objects and their interactions.Quantum objects are interpreted as dynamic geometric patterns of spacetime possessing an encoded geometric identity. Their physical properties, including mass, charge, spin, momentum, energy, wavelength, and phase, are fundamentally encoded in Energy Space and become physically actualized according to the interaction context and the degree of coherence or decoherence. The stability, transformation, and propagation of quantum objects are determined by their geometric compatibility with spacetime and with other quantum geometries.Electromagnetic, weak, and strong interactions are interpreted as direct interactions between compatible quantum-object geometries, whereas gravity is regarded as an indirect geometric interaction mediated through spacetime geometry. Geometric interactions may produce superposition, transformation into new quantum-object geometries, or the formation of larger composite geometric structures, providing a unified geometric interpretation of interactions, confinement, and composite systems.Within this geometric framework, a recursive geometric scaling parameter satisfying the invariant relation is proposed. Based on this hierarchy, phenomenological recursive scaling relations are developed for the lepton and quark families, suggesting a possible underlying geometric structure governing fermion masses, generational hierarchy, and relative stability.Finally, the Peak-Coupling Theory proposes that quantum localization and decoherence occur through discrete peak-coupling events between interacting quantum geometries at oscillatory extrema within a quantum wave packet. The wave envelope and phase continuously modulate the distribution of possible coupling events, while observable interaction probabilities may emerge from the squared magnitude of local coupling amplitudes, providing a possible geometric route toward the emergence of Born-rule probabilitiesTogether, these four papers present a unified conceptual framework in which Energy Space, spacetime, quantum objects, physical interactions, particle hierarchies, quantum measurement, and localization are interpreted as interconnected manifestations of an underlying geometric reality.These ideas are developed across four papers: Paper 1: Energy Space and Geometric Nature of Quantum Objects and Spacetime Paper 2: Quantum Geometry Paper 3: Lepton and Quark Generational Phenomenological Patterns; and Paper 4: Peak-Coupling Theory of Quantum Interaction