A newly published paper in the European Physical Journal Plus proposes a novel explanation for what occurs at the centers of black holes, challenging a mathematical concept that has persisted for over 110 years. The research, conducted independently by theoretical physicist Michael Aaron Cody, suggests that singularities—traditionally described as points of infinite curvature—do not represent physical infinities. Instead, they mark the threshold where the mathematical description of spacetime ceases to apply.
For more than a century, black hole singularities have been understood through the lens of general relativity as points where curvature becomes infinite. While this mathematical description is widely used, many physicists consider it unphysical, as infinities are not expected to occur in nature. Cody's work introduces a mechanical failure condition for spacetime, drawing an analogy to how materials fail under extreme stress or how fluid models break down at small scales. Using established equations from general relativity, the paper identifies a clear threshold where the continuum description of spacetime no longer holds.
The proposed framework does not alter any tested predictions of general relativity outside the event horizon. Observable black hole behavior remains unchanged, meaning that the new interpretation does not conflict with existing observational data. The result provides a physically grounded way to understand singularities without invoking infinite quantities, potentially resolving a long-standing conceptual issue in theoretical physics.
The paper was published online on January 7, 2026, in the European Physical Journal Plus, an international physics journal published by Springer Nature. It is available at https://link.springer.com/article/10.1140/epjp/s13360-025-07237-5. A free preprint can also be accessed at https://www.preprints.org/manuscript/202511.1552.
Michael Aaron Cody is an independent theoretical physicist with more than 20 years of self-directed study and 10 years of university work. His research focuses on first-principles approaches to long-standing problems in physics and has been published across multiple peer-reviewed journals and research outlets. This latest work was self-funded and conducted independently.
The implications of this research are significant for theoretical physics, as it offers a new way to think about the most extreme environments in the universe without relying on unphysical infinities. By treating singularities as a breakdown point rather than an infinite curvature, the framework may open new avenues for understanding the nature of spacetime and the limits of general relativity.
