# Observational Implications of Fuzzball Formation

## TL;DR

This paper explores how fuzzball formation during gravitational collapse affects observable signatures, suggesting potential tests through gravitational wave signals and highlighting the importance of quantum effects in black hole physics.

## Contribution

It introduces a model where quantum wave functions spread over geometries, revealing observable differences between fuzzballs and classical black holes, with implications for future gravitational wave observations.

## Key findings

- Probabilities for coarse-grained observables peak around classical black hole values.
- Finer-grained observables show broader probability distributions, indicating quantum effects.
- A novel gravitational wave burst is predicted due to wave function spreading.

## Abstract

We consider the quantum dynamics of gravitational collapse in a model in which the wave function spreads out over a large ensemble of geometries as envisioned in the fuzzball proposal. We show that the probabilities of coarse-grained observables are highly peaked around the classical black hole values. By contrast, probabilities for finer-grained observables probing the neighbourhood of collapsed objects are more broadly distributed and no notion of `averaging' applies to them. This implies that the formation of fuzzballs gives rise to distinct observational signatures that are more significant than has hitherto been thought and may be tested against observations in the near future. We also predict a novel kind of gravitational wave burst associated with the spreading of the wave function in gravitational collapse.