Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory: With Applications to Gravity and Particle Theory - Hardcover

Lev, Felix

Hardcover

ISBN 10: 3030611000 ISBN 13: 9783030611002

Verlag: Springer, 2020

Inhaltsangabe

This 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.

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Über die Autorin bzw. den Autor

Felix 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.

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This 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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2020
• Sprache: Englisch
• ISBN 10: 3030611000
• ISBN 13: 9783030611002
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 308
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland