Why 3 + 1 metric rather than 4 + 0 or 2 + 2?

Details Why 3 + 1 metric rather than 4 + 0 or 2 + 2? Why 3 + 1 metric rather than 4 + 0 or 2 + 2?

2001-08-10

arxiv.org/abs/hep-th/0108067v1

Phys.Lett. B520 (2001) 159-162

Physics

High Energy Physics

High Energy Physics - Theory

8 Latex pages

Scientific paper

10.1016/S0370-2693(01)01140-6

Why does the physical 4-dimensional space have a 3 + 1 signature rather than a 4 + 0 or a 2 + 2 for its metric? We give a simple explanation based largely on a group-theoretic argument a la Wigner. Applied to flat spaces of higher dimensions the same approach indicates that metrics with more than one time dimension are physically unacceptable because the corresponding irreducible unitary representations are infinite dimensional (besides the trivial representation).

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