When they say the universe is “flat” they mean in a geometric sense.
There’s 3 possible geometries for universe: Closed Curve, Flat and Open Curve. They all possible solutions of Einstein’s field equations. I know this is probably getting too complicated, lets get back to the main topic.
In a “flat” geometry, 2 straight parallel lines will never diverge or intersect, they will be parallel to infinity.
In an “closed” geometry, 2 straight parallel lines will will eventually converge, imagine it drawing parallel lines on a basketball. Though, to be clear not all possible closed geometries are like a sphere.
Now, an “open” geometry is visualized like a saddle shape, 2 straight parallel lines will eventually diverge and never intersect while slowing getting further apart.
Hope that kinda helps…
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