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Finite athematics as the foundation ...

Lev, Felix.

Finite athematics as the foundation of classical mathematics and quantum theorywith applications to gravity and particle theory /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite athematics as the foundation of classical mathematics and quantum theoryby Felix Lev.
其他題名:	with applications to gravity and particle theory /
作者:	Lev, Felix.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xvii, 291 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Quantum theoryMathematics.
電子資源:	https://doi.org/10.1007/978-3-030-61101-9
ISBN:	9783030611019$q(electronic bk.)

Finite athematics as the foundation of classical mathematics and quantum theorywith applications to gravity and particle theory /
Lev, Felix.

Finite athematics as the foundation of classical mathematics and quantum theorywith applications to gravity and particle theory /[electronic resource] :by Felix Lev. - Cham :Springer International Publishing :2020. - xvii, 291 p. :ill., digital ;24 cm.

Introduction -- 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 conclusion.

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.

ISBN: 9783030611019$q(electronic bk.)

Standard No.: 10.1007/978-3-030-61101-9doiSubjects--Topical Terms:

207816
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35 / L49 2020

Dewey Class. No.: 530.12

Finite athematics as the foundation of classical mathematics and quantum theorywith applications to gravity and particle theory /
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300 $a xvii, 291 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- 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 conclusion.
520 $a 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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