And indeed, the Earth could very well be flat if the space-time in which the Earth resides is appropriately distorted. In the grand scheme of things, the concept of space is purely mathematical, not physical. To equalize segments on a plane (so that they are identical to their spherical counterparts), it would be necessary to distort time in different places of the flat Earth, but for the inhabitants of this flat Earth, both spatial and temporal distortions would be difficult to measure due to the lack of a clear standard. Though there still remain complexities with connectivity. This notion even stretches to the theory of a cubic Earth.
Hi, I'm Rauf Aliev. 