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Hyperscience International Journals

The Spatiotemporal Interpretation of Wave Function May Solve the Mystery of Quantum Entanglement

Xiao-han Deng, Zhiyong Deng

Published Sep 1, 2022• 0 citations
Publisher

Abstract

In this paper, the wave function is interpreted as space-time: under any representation, the real part of ‎the wave function ‎represents space and the imaginary part represents time. A wave function represents ‎the quantum entanglement (correlation) ‎between time and space. The unitary evolution process is the ‎mutual transformation of space-time. The imaginary time ‎indicates that it can entangle with space in a ‎nonlocalized way and dominate the integrity (unification) of a quantum, which ‎is the essence of ‎quantum entanglement.‎

DOI
10.55672/hij2022pp89-90

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In this paper, the wave function is interpreted as space-time: under any representation, the real part of ‎the wave function ‎represents space and the imaginary part represents time. A wave function represents ‎the quantum entanglement (correlation) ‎between time and space. The unitary evolution process is the ‎mutual transformation of space-time. The imaginary time ‎indicates that it can entangle with space in a ‎nonlocalized way and dominate the integrity (unification) of a quantum, which ‎is the essence of ‎quantum entanglement.‎
In this paper, the wave function is interpreted as space-time: under any representation, the real part of the wave function represents space and the imaginary part represents time. A wave function represents the quantum entanglement (correlation) between time and space. The unitary evolution process is the mutual transformation of space-time. The imaginary time indicates that it can entangle with space in a non localized way and dominate the integrity (unification) of a quantum, which is the essence of quantum entanglement.
This paper aims to point out that a wave function is a description of a quantum spatiotemporal entanglement and the transformation between time and space. In any quantum mechanical representation, the real part of the wave function represents the space wave and the imaginary part represents the time wave, and they are the space-time itself. Time wave is not limited by space and dominates the nonlocality and integrity of a quantum. Matter wave is a four-dimensional space-time wave, and the basic unit of vacuum is a four-dimensional space-time element stationary relative to the observer. The essence of quantum measurement or interaction is that a conjugate condensation equivalent to that determined by inner product operation occurs between Space-time waves. Particle property is only the localization effect of quantum global collapse when quantum position measurement or equivalent interaction is made.
This paper aims to point out that a wave function is a description of a quantum spatiotemporal ‎entanglement and the ‎‎transformation between time and space. In any quantum mechanical ‎representation, the real part of the wave function ‎‎represents the space wave and the imaginary ‎part represents the time wave, and they are the space-time itself. Time wave is ‎‎not limited by ‎space and dominates the nonlocality and integrity of a quantum. Matter wave is a four-‎dimensional space-time ‎‎wave, and the basic unit of vacuum is a four-dimensional space-time ‎element stationary relative to the observer. The essence ‎‎of quantum measurement or interaction is ‎that a conjugate condensation equivalent to that determined by inner product ‎‎operation occurs ‎between Space-time waves. Particle property is only the localization effect of quantum global ‎collapse when ‎‎quantum position measurement or equivalent interaction is made.‎
Time has always been a fundamental yet enigmatic concept in physics. From the arrow of time in thermodynamics to the timeless nature of quantum mechanics, understanding time's essence has challenged the foundations of modern physics. In this paper, we propose a novel interpretation of time in quantum mechanics, distinguishing between real time as observable events (wave function collapse or address changes) and imaginary time as the continuous evolution of the quantum state. By connecting this framework with the holographic principle, we aim to provide insights into the nature of time, its arrow, and its relationship with quantum mechanics. Keywords Thermodynamics; Wave function; Quantum mechanics; Holographic principle
One of the major concerns of Schr\"odinger, Lorentz, Einstein, and many others about the wave function is that it is defined on the 3N3\mathbf{N}3N-dimensional configuration space, rather than on the three-dimensional (3D) physical space. This gives the impression that quantum mechanics cannot have a 3D3\mathrm{D}3D space or space-time ontology, even in the absence of quantum measurements. In particular, this seems to affect interpretations which take the wave function as a physical entity, in particular, the many-worlds and the spontaneous collapse interpretations, and some versions of the pilot wave theory. Here, a representation of the many-particle states is given, as multilayered fields defined on the three-dimensional physical space. This representation is equivalent to the usual representation on the configuration space, but it makes it explicit that it is possible to interpret the wave functions as defined on the physical space. As long as only unitary evolution is involved, the interactions are local. I intended this representation to capture and formalize the nonexplicit and informal intuition of many working quantum physicists, who, by considering the wave function sometimes to be defined on the configuration space and sometimes on the physical space, may seem to researchers in the foundations of quantum theory as adopting an inconsistent view about its ontology. This representation does not aim to solve the measurement problem, and it allows for Schr\"odinger cats just like the usual one. But, it may help various interpretations to solve these problems, through inclusion of the wave function as (part of) their primitive ontology. In appendices, it is shown how the multilayered field representation can be extended to quantum field theory.