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You are misunderstanding what “spatially flat” means. Intuitively it means that the Euclidean geometry works everywhere - the Pythagorean theorem is valid, parallel lines never intersect, the interior angles of a triangle add to 180 degrees, and so forth. The opposite of “flat” is “curved”.user079622 said:All stars/planets in universe lay at same plane as earth? How thick is this plane?
It’s easy to visualize a three-dimensional flat space - we live in one, it’s the only three-dimension space we’ve ever known. It’s not so easy to visualize a three-dimensional curved space so we have to fall back on a two-dimensional analogy: the surface of a sheet of paper is two-dimensional and flat so Euclidean geometry works; the two-dimensional surface of the earth is not flat and Euclidean geometry doesn’t work (lines of longitude, initially parallel at the equator intersect at the poles, the interior angles of a triangle with two vertices on the equator and the third at a pole add to more than 180 degrees, and so forth).