How to "Censor" a Black Hole Singularity and Beyond

TL;DR

The paper proposes that black holes act as gravitational optical systems that limit resolution, effectively censoring the singularity, and suggests similar interference patterns might be observable in the early universe's CMB.

Contribution

It introduces a novel optical analogy for black hole horizons that explains singularity censorship and links this mechanism to observable cosmological features.

Findings

Black holes can be modeled as diffraction-limited optical elements.

The hyper-ball interference pattern is related to the horizon and entropy increase.

Potential observable signatures in the CMB may be linked to early universe interference patterns.

Abstract

We argue that a black hole can be viewed as a gravitational optical element that images its interior onto the horizon. Being diffraction limited the "Airy hyper-ball" that forms as a result of interference of gravitational waves, does not allow for infinite resolution. Thereby, effectively censoring the geodetic singularity. The mechanism proposed must imply intrinsic angular momentum as in the Kerr black hole solution. However, assuming that a static black hole develops from an initial Kerr solution the destroyed hyperball is delegated to the horizon by the principle of increasing entropy. This lost information about the system resolution is now packed on the horizon, which in effect provides the censorship. Should the mechanism be applicable to the early universe, we suggest that the low variance circles seen in the CMB sky are traces of such an interference pattern.