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- W1995372268 abstract "When we consider and analyze physical events with the purpose of creating corresponding mathematical models we often 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 proved the following theorems: 1) Theorem A (Two-slit interference). Let Ψ<sub>1</sub> be a wave from slit 1, Ψ<sub>2</sub> - from slit 2, and Ψ = Ψ<sub>1</sub> + Ψ<sub>2</sub>. Then the probability of that Ψ is a wave equals to 0.5; and 2) Theorem B (Wave-particle duality for single photons). If v is small enough, then λ is a random variable." @default.
- W1995372268 created "2016-06-24" @default.
- W1995372268 creator A5040174210 @default.
- W1995372268 creator A5067269469 @default.
- W1995372268 date "2011-09-08" @default.
- W1995372268 modified "2023-09-27" @default.
- W1995372268 title "Two-slit interference and wave-particle duality for single photons from Observer's Mathematics point of view" @default.
- W1995372268 doi "https://doi.org/10.1117/12.891344" @default.
- W1995372268 hasPublicationYear "2011" @default.
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