About the Infinite Repetition of Histories in Space

TL;DR

This paper critiques claims from cosmology and quantum mechanics suggesting infinite repetitions of histories in an infinite universe, arguing these are not definitive scientific conclusions but rather speculative ideas.

Contribution

It analyzes and challenges the arguments supporting the idea of infinite history repetitions, emphasizing their speculative nature rather than scientific certainty.

Findings

Identifies shortcomings in Ellis and Brundrit's cosmological arguments

Highlights issues in Garriga and Vilenkin's quantum interpretation claims

Concludes infinite repetitions are not strictly supported by current physics

Abstract

This paper analyzes two different proposals, one by Ellis and Brundrit, based on classical relativistic cosmology, the other by Garriga and Vilenkin, based on the DH interpretation of quantum mechanics, both of which conclude that, in an infinite universe, planets and living beings must be repeated an infinite number of times. We point to some possible shortcomings in the arguments of these authors. We conclude that the idea of an infinite repetition of histories in space cannot be considered strictly speaking a consequence of current physics and cosmology. Such ideas should be seen rather as examples of {\guillemotleft}ironic science{\guillemotright} in the terminology of John Horgan.