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Is time really a 1-dimensional object that we traverse || is it possible that time can also be traversed horizontally. I think the later would also put it on a 2 dimensional plane.

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Time is one of the four dimensions of spacetime; you are traversing time at the rate of one second per second even while you are standing still.

Under Special Relativity you can travel back and forth at will in the three spatial dimensions (such back and forth across a room, or up and down the stairs), but you are forever stuck going forward in time at a constant rate, the rate of time progression as given by your own wristwatch.

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