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It’s easy, relatively speaking, to develop an intuition for higher spatial dimensions, usually by induction on familiar lower-dimensional spaces. But I’m having difficulty envisioning a universe with multiple dimensions of time. Even if such a thing may not be real or possible, it seems like a good intellectual exercise. Can anyone offer an illustrative example?

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This is very very very far off from real physics, We have only one time dimension as far as we know. Why would you try to build an intuition into this? – Prathyush Nov 3 '12 at 2:55
@Prathyush see Qmechanic's nice answer, which is about serious physics (+1) ;-). It is (at least up to now) not forbidden to think and talk about physics that could be valid and most relevant at higher (not yet directly experimentally accessible) energy scales and that differs from the effective physical laws we observe at our low energy "everyday scales" ! – Dilaton Nov 3 '12 at 10:48
I asked a similar question as a comment on a previous question. It was a rather uninformed comment, as I saw 3+1 dimensions being addressed as a matrix with diagonal elements, I only asked why not two, as opposed to one, may be negative. I got a good response, apparently a trace of zero has bad implications, so I guess a possibility left is $diag(-1,-1,1,1,1)$, but again, I'm just making this all up – Alan Rominger Nov 7 '12 at 15:40
up vote 18 down vote accepted
  1. Several authors (in particular Itzhak Bars) have written papers about two-time-physics that should help build intuition for the topic.

  2. Infinitely many 'times' appear in integrable systems.

  3. F-Theory, which is a 12 dimensional theory, has been described as having extra temporal dimensions, however see Wikipedia.

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