Quantum mechanics without quanta

Abstract

In this paper, I argue that light is a continuous classical electromagnetic wave, while the observed so-called quantum nature of the interaction of light with matter is connected to the discrete (atomic) structure of matter and to the specific nature of the light-atom interaction. From this point of view, the Born rule for light is derived, and the double-slit experiment is analysed in detail. I show that the double-slit experiment can be explained without using the concept of a "photon", solely on the basis of classical electrodynamics. I show that within this framework, the Heisenberg uncertainty principle for a "photon" has a simple physical meaning not related to the fundamental limitations in accuracy of the simultaneous measurement of position and momentum or time and energy. I argue also that we can avoid the paradoxes connected with the wave-particle duality of the electron if we consider some classical wave field - an "electron wave" - instead of electrons as the particles and consider the wave equations (Dirac, Klein-Gordon, Pauli and Schrodinger) as the field equations similar to Maxwell equations for the electromagnetic field. It is shown that such an electron field must have an electric charge, an intrinsic angular momentum and an intrinsic magnetic moment continuously distributed in the space. It is shown that from this perspective, the double-slit experiment for "electrons", the Born rule, the Heisenberg uncertainty principle and the Compton effect all have a simple explanation within classical field theory. The proposed perspective allows consideration of quantum mechanics not as a theory of particles but as a classical field theory similar to Maxwell electrodynamics.

arXiv comment61 pages, 3 figures, Quantum Studies: Mathematics and Foundations, 2015

References in corpus (6)

• Decoherence, the measurement problem, and interpretations of quantum mechanics
• The Interpretation of Quantum Mechanics: Many Worlds or Many Words?
• Nonlinear Schrödinger equations from prequantum classical statistical field theory
• Quantum probabilities and violation of CHSH-inequality from classical random signals and threshold type properly calibrated detectors
• Is a rational explanation of wave-particle duality possible?
• EPR-B correlations: a physically tenable local-real model

Cited by in corpus (4)

• Understanding quantum mechanics: a review and synthesis in precise language
• Classical theory of the hydrogen atom
• Nonlinear Schrodinger equation and classical-field description of the Lamb-Retherford experiment
• Classical-field description of the quantum effects in the light-atom interaction