Hunting for Snarks in Quantum Mechanics

Abstract

Abstract.A long-standing debate over the interpretation of quantum mechanics has centered on the meaning of Schroedinger's wave function ψ for an electron. Broadly speaking, there are two major opposing schools. On the one side, the Copenhagen school (led by Bohr, Heisenberg and Pauli) holds that ψ provides a complete description of a single electron state; hence the probability interpretation of ψψ* expresses an irreducible uncertainty in electron behavior that is intrinsic in nature. On the other side, the realist school (led by Einstein, de Broglie, Bohm and Jaynes) holds that ψ represents a statistical ensemble of possible electron states; hence it is an incomplete description of a single electron state. I contend that the debaters have overlooked crucial facts about the electron revealed by Dirac theory. In particular, analysis of electron zitterbewegung (first noticed by Schroedinger) opens a window to particle substructure in quantum mechanics that explains the physical significance of the complex phase factor in ψ. This led to a testable model for particle substructure with surprising support by recent experimental evidence. If the explanation is upheld by further research, it will resolve the debate in favor of the realist school. I give details. The perils of research on the foundations of quantum mechanics have been foreseen by Lewis Carroll in The Hunting of the Snark!

Origin of the Complex Structure of Quantum Mechanics

“…The frequency of the electron clock at rest ω e = m e c 2 / = c/λ = 7.7634 • 10 20 s −1 is huge from an experimental point of view despite the small mass m e of the particle. Therefore, there might be a physical origin of the quantum mechanical phase which, however, is hard to observe due to its dynamic behavior (see also comments in [9,10]).…”