Black Holes with a Fifth-Dimensional Twist: Nonlinear Geometry and Residual Entropy express

Original: "Dyonic black holes from dimensional reduction of five-dimensional Einstein-Gauss-Bonnet gravity"
· Z. Belkhadria, S. Mignemi, F. Paderi
arXiv:2603.07125 · 2026-03-07 · CC BY 4.0 · 1 min
An extra dimension gives black holes a minimum mass and eternal warmth: they never freeze even at the limit.

Picture a black hole as a funnel in a taut sheet — the classic analogy for spacetime curvature caused by a massive body. But if a fifth dimension exists, this simple picture gets complicated: the sheet gains hidden springs. Now any mass, even an electrically neutral one, depresses the fabric of space not to a singularity but only to a well-defined limit. Nonlinear corrections to curvature emerge, giving rise to a new kind of black hole with an inherent minimum mass — a property unthinkable in four-dimensional general relativity.

The big surprise concerns thermodynamics. When such a black hole reaches its limit, it does not cool to absolute zero. Its entropy, a measure of hidden disorder reflecting the number of possible internal microstates, does not vanish as standard theory would require. Instead, a finite, nonzero remnant remains. The universe may be littered with invisible warm cores — remnants of evaporated black holes that retain memory of hidden dimensions, like a frozen echo of the fifth dimension.

Normally, a black hole with no charge should evaporate completely. But with an extra dimension, it leaves behind a warm, indestructible nugget of spacetime.

Think of Interstellar: Gargantua warped time thanks to hidden dimensions. This work makes the fiction a bit more real.

Scientists
Jacob BekensteinStephen HawkingJohn Archibald WheelerFritz ZwickyKarl SchwarzschildSubrahmanyan Chandrasekhar
Concepts
reissner nordstrom black hole modified gravity singularities charged black hole classical gravity general relativity schwarzschild metric wald entropy tidal charge no-hair theorem logarithmic correction quantum corrections horizon area naked singularity Bekenstein-Hawking entropy quantum bounce newtonian limit extra dimension remnant gravastar dilaton