Symplectic vs pseudo-orthogonal structure of space-time

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The advantages to consider the ordinary space-time as the symplectic rather than pseudo-orthogonal one are indicated, and the consequences of extending this view to extra space/time dimensions are discussed.
7 pages, LaTeX, 1 EPS figure; report presented at the XXIV International Workshop on Fundamental Problems in HEP and Field Theory, 27-29 June 2001, Protvino, Russia

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