The Nature of Schrodinger Equation -- On Quantum Physics Part I

TL;DR

This paper derives the Schrödinger equation from classical wave equations applied to particles with random motion, offering a unified explanation for quantum phenomena and clarifying the dual nature of quantum mechanics.

Contribution

It presents a model that explains quantum mechanics phenomena using classical wave equations and clarifies the dual deterministic and probabilistic nature of quantum systems.

Findings

Explains particle-wave duality and superposition.

Accounts for interference patterns in double-slit experiments.

Clarifies the classical and quantum boundary in physics.

Abstract

We propose that the Schrodinger equation results from applying the classical wave equation to describe the physical system in which subatomic particles play random motion, thereby leading to quantum mechanics. The physical reality described by the wave function is subatomic particle moving randomly. Therefore, the characteristics of quantum mechanics have a dual nature, one of them is the deterministic nature carried on from classical physics, and the other is the probabilistic nature coined by particle's random motion. Based on this model, almost all of open questions in quantum mechanics can be explained consistently, which include the particle-wave duality, the principle of quantum superposition, the interference pattern of double-slit experiments, and the boundary between the classical world and the quantum world. The current quantum mechanics is a mixture of matrix mechanics and wave mechanics, which are sharply conflicting in principle. Matrix mechanics treats quantum particles as classical particles with fixed relation between the particle's position and its momentum. The matrix mechanics, in fact, belongs to the old quantum theory. Both Born's non-commutative relation and Heisenberg uncertainty relation originate from matrix mechanics. However, in wave mechanics, there is no any fixed relation between the particle's position and its momentum, and the particle's position and its momentum belong to immeasurable physical quantities. Therefore, there is no need for non-commutative relation and uncertainty relation in wave mechanics.