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THE RESEARCH OF TEACHING AND FOUNDATION OF QUANTUM MECHANICS

Feng Wang, Tianhai ZENG

Published Oct 1, 2025• 0 citations

Abstract

This paper reviews the partial contents of our two manuscripts displayed on arXiv and the nine published papers in some journals, and offers some new expressions. These contents explore the interpretation or research of some concepts and quantum phenomena in quantum mechanics, including foundational or fundamental issues, which delve into deeper questions beneath the basic principles. In our research, we primarily focus on the absence of interaction, or restore the external field potential energy to the interaction energy and consider the related environment qualitatively. We offer a slightly more accessible explanation for several typical quantum phenomena explained using counterintuitive coherent superposition states, summarizing that the wave nature of a particle, i.e., coherent superposition, originates from the interaction of a particle with the environment. We try to propose adding a new postulate to the fundamental postulates or principles of quantum mechanics, which we call the zeroth postulate: any material particle is not free, meaning that the interaction between a particle with its environment cannot be zero. This provides a possible foundation for understanding the wave nature of microscopic particles in quantum mechanics, specifically the coherent superposition pure states. To put this into practice, we propose a new double-slit experiment, hoping that someone will conduct it and predicting that the experimental results will show interference patterns while also identifying which slit a particle has passed through, thus resolving the which-way dilemma. Additionally, we provide explanations for quantum measurements and conservation laws different from those in general books of quantum mechanics.

DOI: 10.26599/phys.2025.9320502

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Abstract There has been wide interest in splitter, quantum tunneling, and double-slit experiments for a long time. The states of single material particles are typically explained as being independent of other objects (and/or electromagnetic fields) and interactions. This independence causes counterintuitive explanations. By analyzing the research conducted separately by Wineland's group and Haroche's group, we naturally deduced that the states are dependent on other objects. Based on this dependence, our unified explanation is more intuitive. We design a double-slit thought experiment that can solve the center problem, i.e., which-path information. The dependence can also work for qubits in quantum information. To emphasize and use the dependence in the future, we propose a fundamental postulate that no material particle is free as the zeroth postulate of quantum mechanics.

Many wave phenomena are related to interactions. When preparing a particle in a superposed state starting from an eigenstate, we must let it interact with an apparatus or environment. Considering neglected interactions, states of apparatus and Newtonic idea about measurement, we attempt to modify some concepts of quantum mechanics. Our modifications include wave-particle duality, the principle of superposition of states, the meaning of the Schrodinger equation, the postulate of quantum measurement, and the uncertainty relations, without changing past correct results. These may help us to understand some typical quantum phenomena with near classical and intuitive ideas, to mediate some contradictions logically, and then to go a step further toward perfecting quantum mechanics. We also review the argument between Einstien and Bohr about quantum mechanics, and conclude that the result is a draw.

The standard Copenhagen interpretation of quantum mechanics relies on a set of historically established, ad hoc postulates to describe particle-wave duality, measurement, and non-locality. In this paper, we propose a single foundational axiom that fully reproduces the standard mathematical formalism of quantum mechanics while eliminating the need for supplementary assumptions. From this singular postulate, we rigorously derive the fundamental origin of the wave function and the mathematical generator of the Schrödinger equation. Furthermore, we demonstrate via isomorfism that all seemingly inexplicable quantum phenomena—including wave-function collapse and quantum entanglement—are mathematically and conceptually reducible to the underlying dynamics of the double-slit experiment. By establishing a direct fundamental correlation between the double-slit interference mechanism and the Monty Hall phenomenon, we prove that these effects are distinct manifestations of the exact same principle. We framed the double-slit experiment as an interference of the space of possibilities affected by information and simetrys. Ultimately, by anchoring the existing quantum mathematical framework to this unique axiom, this work provides a coherent, paradox-free ontological foundation that resolves the interpretational crisis of quantum mechanics without altering its empirical predictive power.

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The foundations of quantum mechanics have been a subject of intense investigation and debate since the theory's inception. Recent developments in quantum technologies and theoretical frameworks have shed new light on foundational issues and raised intriguing questions about the nature of reality at the quantum level. recent advancements in our understanding of the foundational principles of quantum mechanics and discuss unresolved questions that continue to challenge our conceptual framework. Topics of interest include the measurement problem, quantum entanglement, the role of contextuality and nonlocality, interpretations of quantum theory, and the quest for a unified theory of quantum gravity. findings and ongoing debates in the field, we aim to provide a comprehensive overview of the current state of research in the foundations of quantum mechanics and stimulate further discussion and inquiry into these fundamental questions.