Infinite World? | |
The advantage of an infinite world, like a sphere, is that they have no edges. In his book, Einstein hypothesizes that the world must be finite due to the curvature of space-time caused by masses. A triangle has a sum of angles of 180° in a non-curved plane. In curved spaces, this sum deviates, which was first used by Gauss to calculate curvature.* | |
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Here, a triangle is drawn in a two-dimensional spatial portion of space-time. Unlike this, the temporal scale is supposed to grow from top to bottom (seen from above). You can see that the sum of angles is not 180° like in a curved surface. But the drawing fits on a non-curved piece of paper or monitor. |
However, this deformation has a similar effect to a curvature. It would be a kind of virtual curvature.
Importantly, space-time actually deforms under the influence of masses. This means:
Every measurement that confirms Einstein's theory also confirms my theory.
The world thus easily fits into a four-dimensional Euclidean space,** but it is neither Euclidean nor pseudo-Euclidean. |