It is conjectured that in the origin of space-time there lies a symplectic rather than metric structure. The symplectic symmetry Sp(2l, C), l ≥ 1 instead of the pseudo-orthogonal one SO(1, d − 1), d ≥ 4 is proposed as the space-time local structure group. A discrete sequence of the metric space-times of the fixed dimensionalities d = (2l)2 and signatures… (More)
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