The collapse of supertasks

TL;DR

The paper argues that supertasks, which involve performing infinite actions in finite time, are physically impossible because they inevitably cause spacetime curvature divergence and black hole formation.

Contribution

It provides a physical argument against the possibility of supertasks by linking them to spacetime collapse and black hole formation, challenging philosophical views.

Findings

Supertasks lead to divergence in spacetime curvature.

Performing a supertask results in black hole formation.

Supertasks are physically impossible due to gravitational effects.

Abstract

A supertask consists in the performance of an infinite number of actions in a finite time. I show that any attempt to carry out a supertask will produce a divergence of the curvature of spacetime, resulting in the formation of a black hole. I maintain that supertasks, contrarily to a popular view among philosophers, are physically impossible. Supertasks, literally, collapse under their own weight.