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OverviewThis book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved. Full Product DetailsAuthor: Felix LevPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2020 Weight: 0.480kg ISBN: 9783030611033ISBN 10: 3030611035 Pages: 291 Publication Date: 03 November 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- A new look at the position operator in quantum theory.- Basic properties of de Sitter quantum theories.- Algebraic description of irreducible representations.- Two-body systems in discrete basis.- Why finite mathematics is the most general and finite quantum theory is more pertinent physical theory than standard one.- Semiclassical states in modular representations.- Basic properties of anti-de Sitter quantum theories.- Dirac singletons as the only true elementary particles.- A conjecture on the nature of time 11. Discussion and conclusionReviewsAuthor InformationFelix Lev received Master’s degree from the Moscow Institute for Physics and Technology (Moscow, Russia), Ph.D. from the Institute of Theoretical and Experimental Physics (Moscow, Russia) and Dr. Sci. degree from the Institute for High Energy Physics (Serpukhov Accelerator) (Protvino, Russia). He was Leading Scientist of the Joint Institute for Nuclear Research (Dubna, Russia) and currently he is Senior scientist of Artwork Conversion Software Inc (Manhattan Beach, California, USA). He is the author of more than 100 publications in leading journals on physics and mathematical physics. Tab Content 6Author Website:Countries AvailableAll regions |
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