Black Hole Compass: Where Does the Latent Heat of Space Come From? ✛ ✎

Original: "Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics"
arXiv:2607.24349v1 · 2026-07-27 · arXiv non-exclusive · independent analysis · 1 min
Inside a black hole, it's not a point but a dynamic bubble; whether it expands or contracts acts like a compass, telling whether the latent heat (entropy) is positive or negative.

Jacob Bekenstein and Stephen Hawking showed that black holes store hidden information — entropy. But how exactly does it arise? Inside a black hole, there is no point of infinite density — instead, there exists a core resembling a tiny universe. This core can behave in two ways. If it expands (expansion parameter \(H\) positive), entropy accumulates like heat in an oven. If it contracts (\(H\) negative), entropy becomes negative — not a debt, but rather an antipode of ordinary heat, which when summed with the horizon entropy gives zero. Thus, a black hole gravastar has zero total entropy.

Whatever happens inside, the second law of thermodynamics is not violated. In an expanding core, the excess entropy is carried away by radiation; in a contracting core, the negative contribution disappears over time, and total entropy increases.

From the perspective of quantum gravity, the compass-core can switch between modes via a quantum jump, like a needle flipping. These transitions leave traces — a series of gravitational waves that detectors may register in the future.

For an astrophysical black hole of 10 M☉, the semiclassical description of collapse breaks down at n ~ 0.01—well before the classical Minkowski violation (n=0). In this regime, the inner horizon’s temperature surpasses the Planck temperature, and the geometry turns into a quantum foam.

S_{\mathrm{dS}} = \operatorname{sgn}(H) \frac{A}{4} = \operatorname{sgn}(H) \frac{\pi}{H^2}
The sign of entropy is determined by the sign of the Hubble parameter H; expansion yields positive entropy, contraction yields negative.
Scientists
Jacob BekensteinStephen HawkingFritz ZwickyKarl SchwarzschildSubrahmanyan ChandrasekharRainer Weiss
Concepts
black hole entropy black hole thermodynamics wald entropy entropic shadow hawking area law innermost stable circular orbit logarithmic correction entropic gravity horizon area inner horizon mass inflation hawking radiation mechanism de sitter space schwarzschild metric syk model modified gravity singularities kerr metric Accretion disk ringdown critical collapse