# Does space being at right angles to time imply that the expansion or contraction of each occurs in a direction opposite the other's?

The Minkowski diagrams that are employed to illustrate Special Relativity depict changes in the motion of objects through the dimensions of space as occurring within a field (that's otherwise divided only by imaginary lines at right angles to each other), in relation to changes of their motion through that field within the dimension of time. Since it accounts for gravity, General Relativity is more complex than Special Relativity, but I've also seen references to time being "orthogonal to" (meaning that it's "at right angles to") space, in discussions of GR.

Because "spacetime" is a relativistic concept implying that space and time are integral to each other, they can't be separated, under the assumption that GR is as correct as experiments and observations have shown it to be. A surface or volume of material will eventually tear apart if it's pulled, over a certain interval and with equal force, in orthogonal directions that might otherwise have allowed its lengthening as well as its widening, and, since a "tearing apart" of space from time is impossible in GR, I'm consequently assuming that those orthogonal tensions are factors in the development of the curvature that defines gravity in that theory.

In a "local universe" within a larger "multiverse", or in any temporal iteration of any universe comprising a sequence of such iterations (such as a "bouncing" cosmology), it would, consequently, seem that the continuity of spacetime would require any expansion of the spatial volume of a universe or other causally-separated region to be accompanied by a contraction of its temporal duration, and vice-versa. (By "vice-versa", I mean that an expansion of its temporal duration would be accompanied by a contraction of its spatial volume, that a contraction of its temporal duration would result in an expansion of its spatial volume, and that a contraction of its spatial volume would result in an expansion of its temporal duration.)

I'd like to know whether this inference is correct or mistaken. (I'm thinking that it might be clearer in the non-Euclidean geometry employed in GR, with which I'm almost completely unfamiliar, and, as well, that the inference's idea of a balancing of spatial against temporal components of reality might have some relation to that "compactification" of extra dimensions which is posited by string theory.)