Special relativity from observer's mathematics point of view

Boris Khots; Dmitriy Khots

doi:10.1117/12.2185598

10 September 2015 Special relativity from observer's mathematics point of view

Boris Khots, Dmitriy Khots

Proceedings Volume 9570, The Nature of Light: What are Photons? VI; 95701E (2015) https://doi.org/10.1117/12.2185598
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

When we create mathematical models for quantum theory of light we assume that the mathematical apparatus used in modeling, at least the simplest mathematical apparatus, is infallible. In particular, this relates to the use of ”infinitely small” and ”infinitely large” quantities in arithmetic and the use of Newton - Cauchy definitions of a limit and derivative in analysis. We believe that is where the main problem lies in contemporary study of nature. We have introduced a new concept of Observer’s Mathematics (see www.mathrelativity.com). Observer’s Mathematics creates new arithmetic, algebra, geometry, topology, analysis and logic which do not contain the concept of continuum, but locally coincide with the standard fields. We use Einstein special relativity principles and get the analogue of classical Lorentz transformation. This work considers this transformation from Observer’s Mathematics point of view.

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Boris Khots and Dmitriy Khots "Special relativity from observer's mathematics point of view", Proc. SPIE 9570, The Nature of Light: What are Photons? VI, 95701E (10 September 2015); https://doi.org/10.1117/12.2185598

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KEYWORDS

Mathematics

Special relativity

Quantum mechanics

Quantum physics

Theory of relativity

Mathematical modeling

Relativity

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