A newly published peer-reviewed physics paper challenges the longstanding view of black hole singularities as points of infinite curvature, proposing instead that they mark the breakdown of spacetime's mathematical description. The research, conducted independently by theoretical physicist Michael Aaron Cody, was published January 7, 2026, in European Physical Journal Plus, a Springer Nature publication.
For over 110 years, black hole singularities have been described as points where curvature becomes infinite. While this mathematical description is widely used, many physicists consider it unphysical. The new paper proposes that singularities do not represent physical infinities, but instead mark the point where the mathematical description of spacetime breaks down. The work introduces a mechanical failure condition for spacetime, similar to how materials fail under extreme stress or how fluid models fail at small scales.
Using established equations from general relativity, the paper identifies a clear threshold where the continuum description of spacetime no longer applies. The proposed framework does not alter any tested predictions of general relativity outside the event horizon. Observable black hole behavior remains unchanged. The result provides a physically grounded way to understand singularities without invoking infinite quantities.
The research was conducted independently and was self funded. A preprint version is available for free access at Preprints.org. Michael Aaron Cody is an independent theoretical physicist with more than 20 years of self-directed study and 10 years of university work. His work focuses on first-principles approaches to long-standing problems in physics and has been published across multiple peer-reviewed journals and research outlets.
