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Operational symmetriesbasic operatio...

Saller, Heinrich.

Operational symmetriesbasic operations in physics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Operational symmetriesby Heinrich Saller.
Reminder of title:	basic operations in physics /
Author:	Saller, Heinrich.
Published:	Cham :Springer International Publishing :2017.
Description:	xi, 574 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Symmetry (Physics)
Online resource:	http://dx.doi.org/10.1007/978-3-319-58664-9
ISBN:	9783319586649$q(electronic bk.)

Operational symmetriesbasic operations in physics /
Saller, Heinrich.

Operational symmetriesbasic operations in physics /[electronic resource] :by Heinrich Saller. - Cham :Springer International Publishing :2017. - xi, 574 p. :ill., digital ;24 cm.

Introduction and Orientation -- Units and Orders of Magnitude -- How Complex is Nature? -- Plato's Beautiful Symmetry -- Circles and Winding Numbers -- The Hall of Mirrors -- Telescopes for Symmetries -- Classical and Quantum Logics -- Classical and Quantum Probability -- Free States and Particles -- Operational Position and the Atomic Spectrum -- Operational Spacetime and the Particle Spectrum.

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato's and Kepler's symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.

ISBN: 9783319586649$q(electronic bk.)

Standard No.: 10.1007/978-3-319-58664-9doiSubjects--Topical Terms:

202528
Symmetry (Physics)

LC Class. No.: QC174.17.S9

Dewey Class. No.: 539.725

Operational symmetriesbasic operations in physics /
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100 1 $a Saller, Heinrich. $3 262172
245 1 0 $a Operational symmetries $h [electronic resource] : $b basic operations in physics / $c by Heinrich Saller.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xi, 574 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction and Orientation -- Units and Orders of Magnitude -- How Complex is Nature? -- Plato's Beautiful Symmetry -- Circles and Winding Numbers -- The Hall of Mirrors -- Telescopes for Symmetries -- Classical and Quantum Logics -- Classical and Quantum Probability -- Free States and Particles -- Operational Position and the Atomic Spectrum -- Operational Spacetime and the Particle Spectrum.
520 $a This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato's and Kepler's symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations.
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