Pulse of a Black Hole: How the Singularity Reveals Its State ✎ express

Original: "Interior geometry of black holes as a probe of first-order phase transition"
arXiv:2604.01818 · 2026-04-02 · arXiv non-exclusive · independent analysis · 1 min
The compression of space at the center of a black hole changes its rhythm when the hole transitions from one state to another — like a pulse reflecting the phase.

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At the center of a black hole lies a singularity — a point where spacetime is crushed infinitely. Black holes can change state, much like water freezing or boiling. Usually, these transitions are noticed by observing the hole's surroundings. But new research suggests listening to the pulse of the singularity itself.

The pulse here is a special number describing exactly how spacetime crumples near the singularity. Scientists call it the Kasner exponent.

When the hole is calm, this exponent changes smoothly, like a steady rhythm. When it undergoes a phase transition, the pulse becomes erratic, chaotic. At the critical point where the distinction between phases vanishes, the two rhythms merge. Most unexpectedly, beyond this point, a smooth line appears that does not coincide with any known boundary between states. Thus, by the singularity's pulse, one can discern the overall state of the black hole without peering inside.

The Kasner exponent, originally devised to describe the contraction of the Universe in a Big Crunch, has become a tool for studying black holes.

In Carl Sagan's novel 'Contact,' the singularity served as a bridge to other worlds; now this fantasy gains a measurable foundation.

Scientists
John Archibald WheelerJacob BekensteinStephen HawkingFritz ZwickyKarl SchwarzschildSubrahmanyan Chandrasekhar
Concepts
black hole singularity charged black hole critical collapse inner horizon phase transition analogy first order phase transition schwarzschild metric critical temperature naked singularity modified gravity singularities horizon area surface gravity kerr metric mass inflation no-hair theorem scalar perturbations overtones iron line snow line area