Wednesday, August 8, 2012
(t, now) = ((t, now), now) = ...
Suppose a physical theory is parametrized by a time variable t. Considerations lead to a second dimension of time (or super-time/meta-time) when things 'really' are, t', and in fact there is an infinite sequence t'', t''' ... Since this phenomena is so common it's possible that it is a natural feature of time. This suggests a parametrization of the theory (t, nowt) instead, where
(1) (t, nowt) = ((t, nowt), nowt) = ...
The question then is what relations are there among the nowt for different values of t. These are discreet, infinite dimensions.
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