A Wave-Based Interpretation of Quantum Mechanics: Quantized Fields, Single-Point Interactions, and Nonlocal Conservation Laws
Takuya Yamashita
Abstract
Quantum mechanics is characterized by several distinctive features: (1) wave–particle duality, (2) the uncertainty principle, (3) superposition of states, (4) wave function collapse, (5) the tunneling effect, (6) quantum entanglement, and (7) the dominance of probability. Proposed interpretations include the Copenhagen interpretation, the de Broglie–Bohm pilot-wave theory, and the many-worlds interpretation. Despite sustained debate, no unified consensus has emerged. A central obstacle may lie in the unresolved ambiguity over whether a quantum entity is fundamentally a wave or a particle. Although photons and electrons exhibit wave-like and particle-like properties, the concepts of “wave” and “particle” are inherently mutually exclusive. This paper proposes that the true nature of a quantum is a quantized wave interacting at a single spatial point. Based on this premise, the study investigates the vacuum structure and interactions, together with the relationship between wave function collapse and the conservation of physical quantities. The mechanisms underlying the photoelectric effect and quantum tunneling are reexamined, along with the double-slit and delayed-choice quantum eraser experiments. By treating photons and electrons as quantized waves confined to point interactions, this work demonstrates that puzzling quantum behaviors, long considered obstacles to a coherent understanding of quantum mechanics, admit straightforward explanations.