
Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity
Variations on Finkelstein's Quantum Relativity
- 284 pages
- English
- PDF
- Available on iOS & Android
Quanta, Logic And Spacetime: Variations On Finkelstein's Quantum Relativity
Variations on Finkelstein's Quantum Relativity
About this book
In this highly interesting monograph, a brief account of Finkelstein's approach to quantum theory and some of its ramifications is given. Specifically, his suggestion that some sort of quantum-set-like structure should underlie our macroscopic perception of spacetime is developed to the point where a fair slice of fundamental physics (for a massless world) may be formally derived in an elementary fashion from the ground up. In detail, a model of what Finkelstein has dubbed a "quantum net", in conjunction with a carefully and extensively articulated correspondence principle, gives rise to the standard Lagrangians for: massless Dirac fermions, general relativity, and Yang-Mills fields for the gauge groups, U(1) x SU(2), and SU(3). These Lagrangians emerge replete with (Feynman) gauge-fixing terms and ghost fields, and a chiral breaking mechanism in the case of SU(2). The results are interpreted in the light of the Standard Model.
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Table of contents
- Contents
- Preface
- 1 Foundations
- 2 Logic and Set Theory
- 3 Group Duality, Coherence and Cyclic Actions
- 4 A Quantum Net
- 5 Towards a Correspondence Principle for the Quantum Net
- 6 A Correspondence Principle for the Quantum Net
- 7 Dynamics I
- 8 Dynamics II
- 9 Comparisons, Interpretations and Speculations
- References
- Index