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On the geometry of synthetic null hypersurfaces

math.DG · 2025-06-05 · unverdicted · novelty 7.0

Introduces a synthetic null energy condition using optimal transport on topological causal spaces that agrees with the classical NEC in smooth cases and enables proofs of area and singularity theorems in non-smooth settings.

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  • On the geometry of synthetic null hypersurfaces math.DG · 2025-06-05 · unverdicted · none · ref 19

    Introduces a synthetic null energy condition using optimal transport on topological causal spaces that agrees with the classical NEC in smooth cases and enables proofs of area and singularity theorems in non-smooth settings.