Metrics, +++- vs +++--

by Dmitry67
Tags: metrics
Dmitry67 is offline
Apr12-11, 07:40 AM
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There are reasons why our space is 3D. In 2D all systems are bound, in 4D they are unstable.

What 'reasons' are for having 1D time vs 2D time? I don't want to go deep into the AP stuff; just may some constraints one might know like 'Maxwell equation wont be consistent' etc.
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DaleSpam is offline
Apr13-11, 08:03 AM
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With 2 timelike dimensions you could have closed timelike curves even in flat spacetime. I don't think we would have causality in such a universe.
Dmitry67 is offline
Apr13-11, 08:21 AM
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hm, interesting, you're right.
Yes, if there are 2 "times", t and u, then null path can be defined as
s^2 = t^2 where u=0 for example,
which makes lightspeed 'instantaneous' in some directions of time.

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