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Because any border of the universe it not observable, the reality of it remains a theoretical pursuit; but generally, cosmologists agree that current data would tend to indicate the universe is infinite and "flat". One popular model (FLRW) posits that the universe is without boundaries.

Research and mathematical models postulate both a bounded and unbounded universe, and some even purport that the universe might be bounded in some directions (or dimensions) but not in others; often models are speculative and hampered by inherent limits in experimental method. In particular, recent efforts have shown that we might not ever be able to distinguish between a flat, open or closed universe if the cosmological curvature parameter is sufficiently small.

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