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Title: Quantum Theory from Observer's Mathematics Point of View

Abstract

This work considers the linear (time-dependent) Schrodinger equation, quantum theory of two-slit interference, wave-particle duality for single photons, and the uncertainty principle in a setting of arithmetic, algebra, and topology provided by Observer's Mathematics, see [1]. Certain theoretical results and communications pertaining to these theorems are also provided.

Authors:
;
Publication Date:
OSTI Identifier:
21367278
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1232; Journal Issue: 1; Conference: QTRF5: 5. ICMM (International Centre for Mathematical Modelling in Physics) conference on quantum theory: Reconsideration of foundations, Vaexjoe (Sweden), 14-18 Jun 2009; Other Information: DOI: 10.1063/1.3431504; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; DATA TRANSMISSION; DUALITY; FUNCTIONAL ANALYSIS; INTERFERENCE; PHOTONS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; TIME DEPENDENCE; TOPOLOGY; UNCERTAINTY PRINCIPLE; BOSONS; COMMUNICATIONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; EQUATIONS; MASSLESS PARTICLES; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Citation Formats

Khots, Dmitriy, and Khots, Boris. Quantum Theory from Observer's Mathematics Point of View. United States: N. p., 2010. Web. doi:10.1063/1.3431504.
Khots, Dmitriy, & Khots, Boris. Quantum Theory from Observer's Mathematics Point of View. United States. https://doi.org/10.1063/1.3431504
Khots, Dmitriy, and Khots, Boris. 2010. "Quantum Theory from Observer's Mathematics Point of View". United States. https://doi.org/10.1063/1.3431504.
@article{osti_21367278,
title = {Quantum Theory from Observer's Mathematics Point of View},
author = {Khots, Dmitriy and Khots, Boris},
abstractNote = {This work considers the linear (time-dependent) Schrodinger equation, quantum theory of two-slit interference, wave-particle duality for single photons, and the uncertainty principle in a setting of arithmetic, algebra, and topology provided by Observer's Mathematics, see [1]. Certain theoretical results and communications pertaining to these theorems are also provided.},
doi = {10.1063/1.3431504},
url = {https://www.osti.gov/biblio/21367278}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1232,
place = {United States},
year = {Tue May 04 00:00:00 EDT 2010},
month = {Tue May 04 00:00:00 EDT 2010}
}