Quanta, logic and spacetime : variations on Finkelstein's quantum relativity
著者
書誌事項
Quanta, logic and spacetime : variations on Finkelstein's quantum relativity
World Scientific, 1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Logic
- quantum
- a candidate for the plenum
- the Dirac matrices and a correspondence principle
- geometry on the net versus geometry in the continuum
- vacuum structure
- dynamics
- comparison with standard phsyics
- other approaches to net-like structures.
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