A new inductive dimension descent scheme extends the Schoen-Yau positive mass theorem to arbitrary dimensions using shielding principles, conformal blow-ups, and Cheeger-Naber singular set bounds.
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The spacetime positive energy theorem in dimensions n ≥ 4 is obtained by reducing it to the Riemannian positive mass theorem using the Jang equation with a capillary term.
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A dimension descent scheme for the positive mass theorem in arbitrary dimension
A new inductive dimension descent scheme extends the Schoen-Yau positive mass theorem to arbitrary dimensions using shielding principles, conformal blow-ups, and Cheeger-Naber singular set bounds.
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On the spacetime positive energy theorem in arbitrary dimension
The spacetime positive energy theorem in dimensions n ≥ 4 is obtained by reducing it to the Riemannian positive mass theorem using the Jang equation with a capillary term.