The claim conflates mathematical possibility with physical coherence: non-integrable global topology typically requires causal structures incompatible with standard spacetime theory.
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Whether something can actually exist and work in the real physical universe, following the laws of nature we observe.
Spacetime theory(as used in physics)
The modern understanding (from Einstein) that space and time are woven together into one fabric, and this combined fabric has specific mathematical properties that govern how the universe works.