pood
Contributor
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- Oct 25, 2021
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[nitpick]Well, no, not quite. Spatial dimensions denote direction. Time dimensions denote duration.Time is the fourth dimension in general relativity. There is nothing mysterious about this. It simply denotes a direction.
Time dimensions are not like space dimensions. Velocity (actually the square of the velocity) in four dimensional spacetime is found by adding the (square of the) change in each of the spatial directions together, and then dividing by the (square of the) change in the time dimension.
Time (and "timelike") dimensions are the denominators in these Swarzchild Equations, while Space (and "spacelike") dimensions are the enumerators.
It is this that leads to some of the weirder predictions of Relativity, such as that inside a Black Hole, bodies always move towards the central singularity, but are free to move however they like in the other two spatial dimensions and in the time dimension (in contrast to the 'normal' situation, whereby we can move freely in any spatial dimension, but are constrained to move only 'forwards' in time).[/nitpick]
An excellent nitpick and a good summary of the situation. Especially about black holes.