Dimensionality of Space-Time

Abstract
It is shown that, for a local Poincaré covariant quantum field theory in which the usual relation between the TCP symmetry and spin-statistic holds, the dimensionality of space-time should be even. Further plausibility arguments are presented in favor of the observed dimensionality, on basis of the following factors: (1) simplicity, (2) relativistic local quantum field theory, (3) general relativity, (4) the nature of some observed interactions, (5) classical mechanical force concept.

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