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IEEE International IOT, Electronics and Mechatronics Conference (IEMTRONICS)

A Light-based Interpretation of Schrodinger's Wave Equation and Heisenberg's Uncertainty Principle with Implications on Quantum Computation

Pravir Malik

Published Apr 21, 2021• 6 citations
Publisher

Abstract

Quantum computation as currently conceived is based on the largely unproven Copenhagen Interpretation of Quantum Mechanics. By viewing light as a multi-layered, symmetrical construct though, it is possible to interpret quantum-level dynamics assumed as fundamental, differently. Hence, looking at Schrodinger's Wave Equation and Heisenberg's Uncertainty Principle from the point of view of light, it becomes possible to understand quantum-level dynamics as an outcome of a multi-layered, symmetry-based model of light. Such a different view of quantum-level dynamics suggests a different way to conceive of quantum computation. As such, Schrodinger's Wave Equation can be viewed as an arbitration to take information from behind the quantum-veil that may exist in antecedent layers of light, and through such arbitration or rate of change of the wave-function, compute it into material existence. Heisenberg's Uncertainty Principle suggests that meta-level function seeking to precipitate or to be arbitrated into material existence may take different form while still fulfilling the intent of the meta-level function. Quantum computation, therefore, can be conceived as a creative as opposed to a solely constructive process. The object of quantum computation in such an interpretation of quantum phenomena is nothing other than to continue to create something new, or to continue to enhance materialization of meta-level function, rather than to simply construct based on regurgitating programming-based instruction.

DOI
10.1109/iemtronics52119.2021.9422517

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Quantum computation as currently conceived is based on the largely unproven Copenhagen Interpretation of Quantum Mechanics. By viewing light as a multi-layered, symmetrical construct though, it is possible to interpret quantum-level dynamics assumed as fundamental, differently. Hence, looking at Schrodinger's Wave Equation and Heisenberg's Uncertainty Principle from the point of view of light, it becomes possible to understand quantum-level dynamics as an outcome of a multi-layered, symmetry-based model of light. Such a different view of quantum-level dynamics suggests a different way to conceive of quantum computation. As such, Schrodinger's Wave Equation can be viewed as an arbitration to take information from behind the quantum-veil that may exist in antecedent layers of light, and through such arbitration or rate of change of the wave-function, compute it into material existence. Heisenberg's Uncertainty Principle suggests that meta-level function seeking to precipitate or to be arbitrated into material existence may take different form while still fulfilling the intent of the meta-level function. Quantum computation, therefore, can be conceived as a creative as opposed to a solely constructive process. The object of quantum computation in such an interpretation of quantum phenomena is nothing other than to continue to create something new, or to continue to enhance materialization of meta-level function, rather than to simply construct based on regurgitating programming-based instruction.
The solution (wave function) of Schrodinger’s equation is used to describe the motion of a quantum. Max Born treated the square of the absolute value of the wave function as the probability of a quantum appearing at any given point. With this statistical interpretation of a wave function, the physical meaning of the whole quantum theory becomes clearer and more understandable. The development of wave function is based on the De Broglie’s postulate: there is a matter wave related to an object. If wave functions can be explained with the statistical interpretation, then matter waves could simi-larly be explained with statiscal interpretation. This assump-tion is confirmed by deriving the Heisenburg uncertainty rela-tion through mutilplying the matter wavelength of an object Concepts of Physics, Vol. III (2006) 1 with the light wavelength of measuring medium. This new approach may offer another view to look at the reality of M. Born’s statistical interpretation of the wave function solution of Schrodinger’s equation.
Heisenberg argued that wave and particle are too exclusively different in properties, making the intrinsic wave-quantum unity of light impossible to visualize and describe by the language. He invented mathematical Quantum Theory to circumvent visualization and inadequacy of language. But mathematics too is a language to supplement description. He used it to superimpose hidden concepts leading to the Uncertainty Principle. In Unified Theory the wave & particle aspects of electromagnetic radiation and moving material particle coexist blended together as wave-quantum UNITY. This is also supported by experiments. The wave-or-quantum DUALITIES of Quantum Theory appear due to experimental limitations to observe only one and not both of the two aspects simultaneously. Conservation of mass & momentum are inviolable. Matter‘s creation from, or dissolution into, ‘nothing’ is unrealistic. So the Heisenberg’s Uncertainty Principle is rejected as unrealistic and new Principle of Null Action with universal applications is introduced. The Copenhagen interpretation of Quantum Theory is reappraised critically. This paper will bring out and rectify the unreality of Heisenberg-Bohr [1] approach and also explain from sharmon medium of the Unified Theory [2], the Wave-Quantum 'unity' appearing as Wave-or-Quantum 'duality', which the Quantum Theory was all about but could not explain satisfactorily. The Uncertainty Principle will be rejected as unrealistic and a new Principle of Null Action with universal applications introduced. The Copenhagen interpretation of Quantum Theory will be critically reappraised. 1. The objective reality exists irrespective of the observer We observe an object through the signals, emanating or reflected from it, received by our senses and interpreted by the brain/mind. The human senses and intellect have their own limitations and the mediating signals themselves introduce some distortion or uncertainty of observation. It turns precise objective reality into imprecise subjective appearance. Heisenberg [1] made the subjective imprecision as the very nature of things and based his Quantum Theory on the observer's imprecise view of the intrinsically precise physical reality. But the physical objects, phenomena and events, which their theories purport to describe, do not actually need any observer for their existence and are, in fact, governed by NOT the observed but actual magnitudes of their physical parameters like energy, momentum, time, length etc. For instance, the moon or distant galaxies or invisible submicroscopic particles exist not only during the attention of the viewer but also without an observer. In order to formulate physical laws in terms of the observed or measured magnitudes, the Quantum Theory is erroneously based on “what can be known”, instead of on “what actually there is”, in the objective reality. That is on the observed, and not on the actual magnitudes, putting the observer's imprecise view super-most in derogation of the inherent precision in the observed objective reality. 2. Wave-or-Quantum duality of matter & radiation in Quantum Theory Heisenberg [1] noted with scientific curiosity and concern that the -rays emitted from radioactive elements showed definite tracks in Wilson photographs like fast moving particles.
The very basis of modern-day quantum computing that relies on infinite number of superposed quantum states, on probability, on observable measurement that brings things into reality, is bought into question in the Light-centered Interpretation of quanta as discussed in this article. From the point of view of the Light-centered interpretation superposition, entanglement, and reality take on a different meaning and the infinite processing power allegedly true of quantum states, likely does not exist in the manner in which it has been conceived. Yet quantum computation as currently conceived is expected to be a bedrock technology for the future. This article will examine the basis for this, and will begin to contrast the claim of contemporary quantum computer technologists with the light-based quantum computation paradigm as introduced in this paper.
This note shows that Heisenberg's choice for a wave function in his original paper on the uncertainty principle is simply a renormalized characteristic function of a stable distribution with certain restrictions on the parameters. Relaxing Heisenberg's restrictions leads to a more general formulation of the uncertainty principle. This reformulation shows quantum uncertainty can exist at a macroscopic level. These modifications also give rise to a new form of Schrodinger's wave equation as the equation of a vibrating string. Although a heat equation version can also be given, the latter shows the traditional formulation of Schrodinger's equation involves a hidden Cauchy amplitude assumption.
In this work, we propose an alternative formulation for the description of quantum dynamics based on a displacement interpretation of the Schrödinger equation. Startingfrom a generalized wave propagation framework, we show that the Schrödinger equation can be recovered in a form that admits a displacement-type interpretation ofthe wave function. Within this formulation, we derive a momentum-related relation, referred to as the Schrödinger momentum equation, which provides an effective description of quantumpropagation. This relation allows for a unified discussion of several foundational aspects of quantum mechanics, including interference phenomena, coherence anddecoherence, and quantum correlations. The proposed framework is deterministic and explicitly nonlocal, and remains consistent with established experimental observations. In addition, we examine theimplications of this formulation for the interpretation of the Heisenberg Uncertainty Principle, showing that uncertainty-type relations can be naturally obtained within thisapproach while preserving measurement-dependent limitations. Overall, the present work offers a complementary perspective on quantum mechanics that may contribute to ongoing discussions on its conceptual foundations.
Quantum mechanics presently has many unanswered questions, paradoxes, and even outright logical contradictions. To make progress in understanding quantum mechanics, we begin by proposing that relativity be set aside in favor of an absolute aetherial theory. Once that step is taken, we can understand quantum collapse as a description of real wave-packets collapsing in a faster-than-light way. By assuming that a partially observable reality exists, we can then extend our analysis of wave-packets into the subquantum, and the Heisenberg uncertainty principle then follows from the Fourier uncertainty principle coupled with the de Broglie relation. Further progress in understanding quantum mechanics is possible by modifying the de Broglie and Planck relations. Those modifications lead to matter-waves moving at the speed of light rather than superluminally as presently theorized, and they allow the results of matter-wave two-slit experiments to be understood from any reference frame. A modified time-dependent Schrödinger Equation results from our modifications, but the spatial time-independent Schrödinger equation is retained.