Fuzziness at the horizon

TL;DR

This paper investigates how quantum fuzziness in noncommutative black hole interiors can prevent the classical blue shift instability near the Cauchy horizon, suggesting a possible resolution to the divergence problem.

Contribution

It demonstrates that spacetime fuzziness due to noncommutative geometry can suppress the blue shift divergence in black hole interiors.

Findings

Fuzziness prevents exponential blue shift divergence.

Scalar field higher momenta induce spacetime fuzziness.

Infinite energy density near the Cauchy horizon is suppressed.

Abstract

We study the stability of the noncommutative Schwarzschild black hole interior by analysing the propagation of a massless scalar field between the two horizons. We show that the spacetime fuzziness triggered by the field higher momenta can cure the classical exponential blue shift divergence, suppressing the emergence of infinite energy density in a region nearby the Cauchy horizon.