I have a pet theory that the reason we think of time as being unidimensional is that energy tends to coagulate into objects, such as atoms and cell phones, that can only go in one direction at a time. The linearity of its direction of travel translates into the linearity of measuring its motion and hence to a linearity in our conception of time (time being a measure of change, and most observed change being types of motion).
As Dahybhai Patel says in his answer, time is actually 3-dimensional, because space is 3-dimensional, and time perfectly complements space. Without space, time has no meaning.
As Mike Peditto says in his answer, more than one dimension of time could lead to “walking left and right at the same time,” and in fact, if you take the direction of propagation of energy that’s not coagulated into something material, it *does* go left and right at the same time. And up and down, and forward and backward. Imagine, for instance, the outward propagation of an electromagnetic pulse.
The atom or cell phone on its linear trajectory is traveling through three dimensions of time at once, but the fact that it all must stick together and take a linear path means that the speed in space-time dimension X, the speed in space-time dimension Y, and the speed in space-time dimension Z must all be related and constrained by a specific geometrical formula that ensures that there is no divergence.
This theory probably makes no sense.
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