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How a Quantum “Pillow” Saves a Black Hole from Infinity ⚡ экспресс

Original: "Observational Constraints on Kazakov-Solodukhin Quantum-Deformed Black Holes from M87$$^*$$ and Sgr A$$^*$$ Shadows"
arXiv:2607.02631 · 2026-07-02 · CC BY · ⏱ 1 min · General Relativity
A quantum “pillow” turns the deadly infinity at a black hole’s center into a smooth bottom — and it shows in its shadow.
Abstract

The spacetime of the quantum-deformed Kazakov–Solodukhin black hole with deformation parameter η is studied. In the limit η → 0, the model reduces to the Schwarzschild solution, while in strong fields it yields physically significant deviations. The key property is the regularization of the singularity: curvature scalars remain finite near the minimum radius r = η, introducing a minimum length and replacing the divergent core with a smooth region. The deformation shifts the event horizon, alters the mass–radius relation, and reduces surface gravity, lowering the Hawking temperature and slowing evaporation, thus enhancing thermodynamic stability. The photon sphere shifts, modifying strong lensing characteristics; the shadow remains perfectly circular but its size depends on η. The constraint |Rsh(η) − R_obs| ≤ ∆R_obs places an upper limit on the deformation parameter. In the weak field, the deflection angle acquires a quadratic correction ~η², consistent with high-precision tests and testable in strong gravity observations.

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At the center of a black hole, classical theory paints a point where density and spacetime curvature shoot to infinity — like an infinitely sharp needle. But quantum corrections, tracing back to the work of Karl Schwarzschild, add a tiny “pillow”: space cannot collapse to zero.

The needle turns into a smooth bowl — infinity vanishes.

Because of this, the “horizon” — the boundary of no return — shifts. The famous radiation discovered by Stephen Hawking weakens, and thermal characteristics become more stable. Even the black hole’s shadow — that dark silhouette — changes size, though it keeps its round shape. The biggest surprise: if the quantum pillow were just a bit thicker, the horizon could vanish entirely, exposing a calm core to the outside world.

🎯 If quantum corrections were slightly stronger, a black hole could lose its horizon entirely, exposing its smooth core to the outside world.

🎬 In the movie Interstellar, the heroes hope to unravel the quantum mysteries inside a black hole — and the new model makes that idea a bit less fantastic.

Scientists
Stephen HawkingJacob BekensteinAlbert EinsteinFritz ZwickyVera RubinBernhard Riemann
Tags
black hole spacetime curvature entropy
Laws
second law of thermodynamicsHawking radiationgravitational lensingBekenstein-Hawking entropyEinstein field equationsBoltzmann distribution
Original: arXiv:2607.02631 · CC BY · bridge42worlds