What is Behind Small Deviations of Quantum Mechanics Theory from Experiments? Observer’s Mathematics Point of View

摘要

Certain results that have been predicted by Quantum Mechanics (QM) theory are not always supported by experiments. This defines a deep crisis in contemporary physics and, in particular, quantum mechanics. We believe that, in fact, the mathematical apparatus employed within today’s physics is a possible reason. In particular, we consider the concept of infinity that exists in today’s mathematics as the root cause of this problem. We have created Observer’s Mathematics that offers an alternative to contemporary mathematics. This paper is an attempt to relay how Observer’s Mathematics may explain some of the contradictions in QM theory results. We consider the Hamiltonian Mechanics, Newton equation, Schrodinger equation, two slit interference, wave-particle duality for single photons, uncertainty principle, Dirac equations for free electron in a setting of arithmetic, algebra, and topology provided by Observer’s Mathematics (see www.mathrelativity.com). Certain results and communications pertaining to solution of these problems are provided.