Quantization of the space-time coordinates and the resulting degrees of freedom
(1974) Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques — Vol. 88, n° 1, p. 71-85 (1974)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- The space-time coordinates /b x/, /b y/, /b ct/ can be quantized in such a way that each of them is an integer or a half-integer multiple of the same quantum of length /b a/. This implies the existence of sixteen possible space-time lattices of lattice constant /b a/, for every arbitrarily chosen inertial reference frame. Electromagnetic fields and scalar fields can be defined on a single space-time lattice of lattice constant /b a/, but the generalization of the Dirac equation requires a coupling of different four-component spinors, which are defined on different space-time lattices. The previously given representation, which coupled only two four-component spinors, is replaced by a representation that couples the sixteen possible four-component spinors in agreement with the proposed quantization scheme for the space-time coordinates.
- Affiliations
Citations
Meessen, A. (1974). Quantization of the space-time coordinates and the resulting degrees of freedom. Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques, 88(1), 71-85. https://hdl.handle.net/2078.5/51108 (Original work published 1974)