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.* 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.

Curvature manifests as a non-local (relative) change in scale, while local scales remain constant (parallel transport). Crucially, spacetime undergoes actual deformation under the influence of masses. Changes in scale appear like an atlas map of a curved space; maps are isomorphic to the corresponding manifold. Thus, the two representations are mathematically equivalent. This means that any measurement confirming Einstein’s General Relativity also confirms my theory. The world thus easily fits into a four-dimensional Euclidean space,** but it is neither Euclidean nor pseudo-Euclidean.
Note:
The changes in scale are relative and locally imperceptible. One cannot construct an ether that assigns its own scale to each point. The speed of light (in a vacuum) has the same numerical value locally at every point in spacetime.

Ludwig Resch

*'Gauss's 'Theorema elegantissimum' or the Gauss-Bonnet theorem
**This Euclidean space has no physical meaning whatsoever.