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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2 Pith papers cite this work. Polarity classification is still indexing.
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Proves diffeomorphic splitting for timelike geodesically complete weighted Finsler spacetimes and isometry generation for Berwald cases via the p-d'Alembertian, generalizing prior Lorentzian results.
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On the geometry of synthetic null hypersurfaces
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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Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case
Proves diffeomorphic splitting for timelike geodesically complete weighted Finsler spacetimes and isometry generation for Berwald cases via the p-d'Alembertian, generalizing prior Lorentzian results.