東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Finite athematics as the foundation ...

Lev, Felix.

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Finite athematics as the foundation of classical mathematics and quantum theory/ by Felix Lev.
Reminder of title:	with applications to gravity and particle theory /
Author:	Lev, Felix.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xvii, 291 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Quantum theory - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-61101-9
ISBN:	9783030611019

Finite athematics as the foundation of classical mathematics and quantum theory = with 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

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

705044
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 theory = with applications to gravity and particle theory /
LDR:02405nmm a2200325 a 4500 001 2257285
003 DE-He213
005 20210312140250.0
006 m d
007 cr nn 008maaau
008 220420s2020 sz s 0 eng d
020 $a 9783030611019 $q (electronic bk.)
020 $a 9783030611002 $q (paper)
024 7 $a 10.1007/978-3-030-61101-9 $2 doi
035 $a 978-3-030-61101-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.M35 $b L49 2020
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.12 $2 23
090 $a QC174.17.M35 $b L655 2020
100 1 $a Lev, Felix. $3 3528293
245 1 0 $a Finite athematics as the foundation of classical mathematics and quantum theory $h [electronic resource] : $b with applications to gravity and particle theory / $c by Felix Lev.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
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.
650 0 $a Quantum theory $x Mathematics. $3 705044
650 1 4 $a Quantum Physics. $3 893952
650 2 4 $a Mathematical Logic and Foundations. $3 892656
650 2 4 $a History and Philosophical Foundations of Physics. $3 1066881
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 1067066
650 2 4 $a Particle and Nuclear Physics. $3 1067136
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-61101-9
950 $a Physics and Astronomy (SpringerNature-11651)