Quantum mechanics problems in observer's mathematics

Boris Khots, Dmitriy Khots

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.

Gustavo Esteban Romero

Boris Khots, Dmitriy Khots

This work considers the Lagrange function in classical mechanics and Hamiltonian equations of general relativity and quantum theory, in a setting of arithmetic, algebra, and topology provided by Observer's Mathematics. Certain results and communications pertaining to solutions of these problems are provided.

Michele Caponigro

We discuss and review the philosophy and interpretations of quantum mechanics.Technically, QM is a set of mathematically formulated prescriptions that serve for calculations of probabilities of different measurement outcomes. The most serious problem has been the inability to demarcate with mathematical precision just where microscopic processes leave off and where macroscopic processes begin. The fact that observers report definite outcomes of experiments has, therefore, been a mystery. Explanations of this mystery have supplemented QM with a wide variety of additional assumptions.