Clifford algebra as quantum language
- 1 April 2001
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 42 (4) , 1489-1500
- https://doi.org/10.1063/1.1353183
Abstract
We suggest Clifford algebra as a useful simplifying language for present quantum dynamics. Clifford algebras arise from representations of the permutation groups as they arise from representations of the rotation groups. Aggregates using such representations for their permutations obey Clifford statistics. The vectors supporting the Clifford algebras of permutations and rotations are plexors and spinors, respectively. Physical spinors may actually be plexors describing quantum ensembles, not simple individuals. We use Clifford statistics to define quantum fields on a quantum space–time, and to formulate a quantum dynamics-field-space–time unity that evades the compactification problem. The quantum bits of history regarded as a quantum computation seem to obey a Clifford statistics.Keywords
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