This work proposes a curvature-modified model that prevents finite-time divergences in black holes, suggesting new gravitational wave signatures.
General relativity predicts spacetime singularities under conditions of extreme curvature. These represent finite-time divergences indicating breakdown of the classical theory. This work proposes a minimal curvature-triggered modification in which the effective generator of proper-time evolution becomes curvature-dependent and asymptotically approaches zero near a critical curvature scale κ*. Collapse therefore asymptotically freezes rather than reaching finite-time divergence, while all weak-field predictions of general relativity are preserved. The model produces a falsifiable observational consequence in the form of logarithmically spaced gravitational wave echo signatures scaling with black hole mass. This document serves as a conceptual minimal hypothesis and priority record.
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Michael VanBeuzekom (2026) studied this question.
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