# Falsifiability of Isolated Spacetime Regions

## TL;DR

This paper discusses the challenge of falsifiability in isolated spacetime regions, like black hole horizons, proposing a weaker criterion called conditional asymptotic provability to extend scientific reasoning.

## Contribution

It introduces the concept of conditional asymptotic provability as a new falsifiability criterion for isolated spacetime regions in physics.

## Key findings

- Isolated regions may satisfy a weaker falsifiability condition.
- Conditional asymptotic provability extends Bayesian scientific reasoning.
- Implications for the epistemic status of black hole regions.

## Abstract

In this work it is pointed out that some physical theories, even being themselves falsifiable, predict the existence of regions of spacetime which are not falsifiable with relation to each other due to their impossibility of mutually exchanging information as, for instance, before and after the event horizon of black holes. If we require scientific theories to be falsifiable, an isolated region should be discarded from scientific models developed by observers in other regions. Here it is proposed that their existence can satisfy a weaker falsifiability condition, here called conditional asymptotic provability, which extend scientific reasoning through Bayesian inference. Limitations and some epistemic consequences of this proposal are discussed.