Quantum Populations near Black-Hole Singularities

TL;DR

This paper introduces Zeno borders as dynamically generated boundaries that decouple quantum physics from classical information leaks near black-hole singularities, leading to a probabilistic completion of Schwarzschild black holes.

Contribution

It proposes the concept of Zeno borders, which prevent quantum fields from reaching singularities, offering a new perspective on black-hole interior physics within semiclassical theory.

Findings

Quantum fields become asymptotically silent near Zeno borders.

Probability measure for populating the geodesic boundary vanishes.

Zeno borders act as probabilistic completions of black holes.

Abstract

Schwarzschild black-hole interiors border on space-like singularities representing classical information leaks. We show that local quantum physics is decoupled from these leaks due to dynamically generated boundaries, called Zeno borders. Beyond Zeno borders black-hole interiors become asymptotically silent, and quantum fields evolve freely towards the geodesic singularity with vanishing probability measure for populating the geodesic boundary. Thus Zeno borders represent a probabilistic completion of Schwarzschild black holes within the semiclassical framework.