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Elementary Particles and Emergent Phase Space.
Title:
Elementary Particles and Emergent Phase Space.
Author:
Zenczykowski, Piotr.
ISBN:
9789814525695
Personal Author:
Physical Description:
1 online resource (232 pages)
Contents:
Contents -- Preface -- 1. Introduction -- PART 1 PHILOSOPHY AND PHYSICS -- 2. Reality and Its Description -- 2.1 The Language Factor -- 2.2 Explanation and Understanding -- 2.3 Theories and Physical Reality -- 3. Classical and Quantum Aspects of Reality -- 3.1 Classical Locality and Quantum Nonseparability -- 3.1.1 Distant simultaneity -- 3.1.2 Local time of special relativity and quantum -- 3.1.3 Tension -- 3.2 Emergent Space and Time -- 4. Time for a Change -- 4.1 Things and Processes -- 4.2 Time and Change -- PART 2 ELEMENTARY PARTICLES -- 5. The Standard Model and the Subparticle Paradigm -- 5.1 Particles in Space -- 5.1.1 The gauge-boson sector -- 5.1.2 The fermion sector -- 5.2 Beyond the Standard Model -- 5.3 Preons -- 6. The Problem of Mass -- 6.1 Leptons -- 6.2 Quarks -- 6.2.1 Current quarks -- 6.2.2 Constituent quarks -- 6.3 Hadron-Level Effects -- 7. Constituent Quarks and Spacetime Points -- 7.1 Hara's Theorem -- 7.2 Constituent Quark Model Calculation -- 7.3 Phenomenological Analysis: Help from Experiment -- 7.4 Combining Current Algebra and Vector-Meson Dominance -- 7.5 Reasons of CQM Failure -- 8. Elementary Particles and Macroscopic Space -- 8.1 Hadrons and Strings -- 8.2 Pointlike Subparticles or Strings? -- 8.3 Particles and Space -- PART 3 PHASE SPACE AND QUANTUM -- 9. Phase Space and Its Symmetries -- 9.1 The Arena of Nonrelativistic Phase Space -- 9.1.1 Phase space and time -- 9.1.2 Phase space and quantum numbers -- 9.2 Born's Problem: Mass vs. Reciprocity -- 9.2.1 Mass scales and phase space -- 9.2.2 Mass and reciprocity -- 9.2.3 The concept of mass: A heuristic -- 9.3 Emergence of U(1) SU(3) -- 9.3.1 Generalized reciprocity: U(1) -- 9.3.2 Generalized rotation: SU(3) -- 9.3.3 Classical case -- 10. Quantizing Phase Space -- 10.1 Quantization via Linearization -- 10.1.1 Phase-space linearization.

10.1.2 U(1) transformations -- 10.1.3 SU(3) transformations -- 10.2 Multiplets without Subparticles -- 10.2.1 The Gell-Mann-Nishijima formula -- 10.2.1.1 Eigenvalues of I3 and Y -- 10.2.1.2 Charge conjugation -- 10.2.1.3 Correlations -- 10.2.2 Preonless interpretation of the Harari-Shupe model -- 11. Elementary Particles from a Phase-Space Perspective -- 11.1 From Particle Transformations to Phase-Space Transformations -- 11.1.1 Isospin reversal and charge conjugation -- 11.1.1.1 Isospin reversal -- 11.1.1.2 Charge conjugation -- 11.1.2 Genuine SO(6) transformations -- 11.1.2.1 Transformations in Clifford algebra -- 11.1.2.2 Phase-space counterparts -- 11.2 Compositeness and Additivity -- 11.2.1 Descriptions of strong interactions and the concept of point -- 11.2.2 Additivity of canonical momenta -- 12. Generalizing the Concept of Mass -- 12.1 The Clifford Algebra of Nonrelativistic Phase Space -- 12.1.1 Even elements of the Clifford algebra -- 12.1.1.1 Elements H±nk, I±12 -- 12.1.1.2 Elements H±n0, H±0n -- 12.1.2 Odd elements of the Clifford algebra -- 12.1.2.1 SU(3) triplets and antitriplets -- 12.1.2.2 Singlets of SU(3) -- 12.1.2.3 Sextets and antisextets of SU(3) -- 12.2 The Clifford Algebra andMass -- 12.2.1 From lepton mass to quark mass -- 12.2.2 Clifford algebras and lepton masses -- 13. Overview -- Bibliography -- Index.
Abstract:
The Standard Model of elementary particles, although very successful, contains various elements that are put in by hand. Understanding their origin requires going beyond the model and searching for "new physics". The present book elaborates on one particular proposal concerning such physics. While the original conception is 50 years old, it has not lost its appeal over time. Its basic idea is that space - an arena of events treated in the Standard Model as a classical background - is a concept which emerges from a strictly discrete quantum layer in the limit of large quantum numbers. This book discusses an extension of this view by replacing space with phase space. It combines the results of the author's research papers and places them in much broader philosophical and phenomenological contexts, thus providing further arguments in favor of the proposed alternative. The book should be of interest to the philosophically-minded readers who are willing to contemplate unorthodox ideas on the very nature of the world.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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