If Quantum Mechanics Is the Solution, What Should the Problem Be?

EasyChair Preprint 3253

Abstract

The paper addresses the problem, which quantum mechanics resolves in fact. Its viewpoint suggests that the crucial link of time and its course is omitted in understanding the problem. The common interpretation underlain by the history of quantum mechanics sees discreteness only on the Plank scale, which is transformed into continuity and even smoothness on the macroscopic scale. That approach is fraught with a series of seeming paradoxes. It suggests that the present mathematical formalism of quantum mechanics is only partly relevant to its problem, which is ostensibly known. The paper accepts just the opposite: The mathematical solution is absolute relevant and serves as an axiomatic base, from which the real and yet hidden problem is deduced. Wave-particle duality, Hilbert space, both probabilistic and many-worlds interpretations of quantum mechanics, quantum information, and the Schrödinger equation are included in that base. The Schrödinger equation is understood as a generalization of the law of energy conservation to past, present, and future moments of time. The deduced real problem of quantum mechanics is: “What is the universal law describing the course of time in any physical change therefore including any mechanical motion?”

Keyphrases: Course of time, Hilbert space, Schrödinger equation, energy conservation, many-worlds interpretation of QM, probabilistic interpretation of QM, quantum information, time, wave-particle duality

@booklet{EasyChair:3253,
  author    = {Vasil Penchev},
  title     = {If Quantum Mechanics Is the Solution, What Should the Problem Be?},
  howpublished = {EasyChair Preprint 3253},
  year      = {EasyChair, 2020}}