Forget what you've heard about black holes; their surfaces might actually be 'fuzzy' patches where the concepts of distance and order just stop working.
arXiv · March 16, 2026 · 2603.13029
Why it matters
This research suggests that black hole event horizons are 'noncommutative,' meaning the order of points on the surface matters just as much as their location. This effect becomes vital for understanding tiny black holes and offers a potential way to observe how gravity and quantum mechanics finally merge at the smallest possible scales.
From the abstract
We construct a deformed algebraic quantum field theory on bifurcate Killing horizons in stationary axisymmetric spacetimes. The deformation is generated by the commuting actions of affine dilations along the null generators of the horizon and rotations about the axis of symmetry, analogously to the Moyal-Rieffel deformation. Physically, this effectively implements a noncommutative geometric structure of the horizon. Moreover, we compute the relative entropy between coherent states in the deforme