Quanta, Logic and Spacetime: Variations on Finkelstein's Quantum Relativity

By Steve A. Selesnick

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.

• Format: Hardcover
• Language: English
• ISBN: 9810232551
• ISBN13: 9789810232559
• Release Date: March 1998
• Publisher: World Scientific Publishing Company
• Length: 284 Pages
• Weight: 1.10 lbs.
• Dimensions: 0.9" x 6.2" x 8.5"