A newly published paper in the European Physical Journal Plus proposes a fundamental shift in understanding black hole singularities, arguing that they do not represent physical infinities but rather the breakdown of spacetime's continuum description. For over 110 years, singularities have been mathematically described as points of infinite curvature, a concept many physicists consider unphysical. The new work introduces a mechanical failure condition for spacetime, similar to how materials fail under extreme stress or how fluid models break down at small scales.
Author Michael Aaron Cody, an independent theoretical physicist with over 20 years of self-directed study and 10 years of university work, used established equations from general relativity to identify a clear threshold where the continuum description of spacetime no longer applies. According to the paper, singularities mark this limit, providing a physically grounded way to understand them without invoking infinite quantities. The proposed framework does not alter any tested predictions of general relativity outside the event horizon, meaning observable black hole behavior remains unchanged.
The research was conducted independently and self-funded. The paper, published online January 7, 2026, is available at Springer Link. A free preprint can be accessed at Preprints.org. This work challenges a cornerstone of modern astrophysics and may open new avenues for understanding the nature of black holes and spacetime itself.
