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Resolving the EPR Paradox through a Non-Deterministic Model of Time

Stefan Bastel

Published Jul 13, 2026• 0 citations
Publisher

Abstract

This paper introduces a non-deterministic model of time as a three-dimensional structure comprising past, present, and future. The present is described as a superposition of all causal futures, with weights evolving deterministically, while the collapse into a single future remains non-deterministic. This model naturally resolves the EPR paradox by introducing a shared present for entangled particles, eliminating the need for non-locality or hidden variables. The framework is consistent with quantum mechanics, thermodynamics, and relativity.

DOI
10.5281/zenodo.21339665

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•Aug 19, 2025•1 citation
This paper introduces a non-deterministic model of time as a three-dimensional structure comprising past, present, and future. The present is described as a superposition of all causal futures, with weights evolving deterministically, while the collapse into a single future remains non-deterministic. This model naturally resolves the EPR paradox by introducing a shared present for entangled particles, eliminating the need for non-locality or hidden variables. The framework is consistent with quantum mechanics, thermodynamics, and relativity.
A new interpretation of quantum mechanics, similar to the Copenhagen interpretation, is developed from time-symmetry arguments and commonly held principles concerning time and causality. These principles, which are grounded in ideas outside of quantum mechanics, suggest that the strange features and paradoxes of quantum mechanics come from backward causation, in which future events can change the past. Using these principles this paper gives a better understanding of (and reasons for) stationary states, tunneling, wave-particle duality, the measurement problem with the collapse of the state vector, Hardy's paradox, non-locality, and the EPR paradox. These are only a few of the interpretational successes, and the model will be contrasted to other popular and/or recent interpretations. Unfortunately, this model is metaphysical, without any predictive power.
Backward causation in which future events affect the past is formalized in a way consistent with Special Relativity and shown to restore locality to nonrelativistic quantum mechanics. It can explain the correlations of the EPR paradox without using hidden variables. It also restores time-symmetry to microphysics. Quantum Mechanics has the right properties to allow for backward causation. The new model is probably untestable experimentally but it has profound philosophical implications concerning reality.
Despite its remarkable success in describing microscopic phenomena, quantum mechanics continues to pose unresolved foundational questions concerning measurement, nonlocality, wavefunction collapse, and the nature of physical reality. These issues were highlighted by the EPR paradox1-2, in which Einstein and his co-authors examined the measurement of entangled particles in space-like separation. Quantum mechanics predicts that measuring one particle’s observable instantaneously determines the state of the other, seemingly violating special relativity’s prohibition of faster-than-light influences and suggesting an incomplete description of physical reality. However, Bell’s theorem3-5, along with the Bell-Kochen-Specker theorem6-10 and subsequent experiments, has largely ruled out local hidden variable theories. In this work, I apply the quantum decoherence framework11-13, pioneered by Zeh, Zurek, Joos and Leggett et al. to analyze an EPR-like system using system-environment interactions as a measurement model. I demonstrate that measurement on one entangled particle does not instantaneously collapse the system's wavefunction. Instead, the local wavefunctions of the measured particle and its environment evolve dynamically, while the remote particle’s wavefunction remains unchanged. Environment-induced decoherence selects pointer states and rapidly suppresses quantum correlations through local interactions, giving rise to the appearance of wavefunction collapse. These findings suggest that quantum mechanics can be reconciled with local realism if the wavefunction is treated as an ontic entity, offering a potential path toward a locally realistic quantum theory in alignment with Einstein’s vision.
ABSTRACT For nearly a century, the phenomenon of Quantum Entanglement has challenged the logical foundations of physics, culminating in the conflict between Einstein’s "Local Realism" and Bohr’s "Non-Locality." The experimental violation of Bell’s Inequalities seemed to prove that particles communicate instantaneously across vast distances, defying the speed of light. This article proposes a resolution based on Elastic Tensor Mechanics (ETM). By redefining the elementary particle not as a static spatial object but as a dynamic temporal oscillator (a Hysteresis Cycle of the Discontinuum), we introduce the concept of Iso-Temporal Synchronization. We demonstrate that the "Hidden Variable" Einstein sought is not spatial, but temporal (Phase). Entanglement is thus reinterpreted not as a magical connection across space, but as a deterministic conservation of rhythm over time, restoring a logical causal structure to the universe. Keywords: Quantum Entanglement, EPR Paradox, Bell’s Theorem, Elastic Tensor Mechanics (ETM), Iso-Temporal Synchronization, Phase Memory, Local Realism.
Modern physics claims ”Quantum Entanglement” connects particles across space. In The Eternal Relativity we prove this is incorrect. There is no such thing as quantum entanglement. There is only Moment Entanglement. A single moment in time is the only true quantum. Because a single moment can exist simultaneously at all times, it can also appear in multiple places at once. When two particles share the exact same moment Γ0, they are entangled. Distance in space is irrelevant because distance in time is zero. This framework resolves non-locality, wave function collapse, and the EPR paradox without violating causality. The universe is not made of entangled particles. The universe is made of entangled moments.
Despite its remarkable success in describing microscopic phenomena, quantum mechanics continues to pose unresolved foundational questions concerning measurement, nonlocality, wavefunction collapse, and the nature of physical reality. These issues were highlighted by the EPR paradox. Quantum mechanics predicts that measuring one particle’s observable instantaneously determines the state of the other, seemingly violating special relativity’s prohibition of faster-than-light influences and suggesting an incomplete description of physical reality. However, Bell’s theorem has largely ruled out local hidden variable theories. In this paper, I critically examine the assumptions in deriving Bell’s theorem and demonstrate that the theorem does not apply strictly to quantum mechanics. By assuming measurement is always accompanied by uncontrollable environment interactions, I show that quantum theory can be local and realism with decoherence in EPR-like measurement. Specifically, I apply the quantum decoherence framework, pioneered by Zeh, Zurek and Leggett to analyze an EPR-like system using system-environment interactions as a measurement model. The results illustrate that measurement on one entangled particle does not instantaneously collapse the system's wavefunction. Instead, the local wavefunctions of the measured particle and its environment evolve dynamically, while the remote particle’s wavefunction remains unchanged. Environment-induced decoherence selects pointer states and rapidly suppresses quantum correlations through strictly local interactions, giving rise to the appearance of wavefunction collapse. These findings challenge the conventional interpretation of Bell’s theorem and suggest that quantum mechanics fundamentally respects locality and realism if the wavefunction is treated as an ontic entity. This work offers a potential path toward a locally realistic quantum theory in alignment with Einstein’s vision. It not only strengthens the conceptual foundations of quantum mechanics, but also carries tremendous implications for quantum information processing and computing.