Predicting future duration from present age: Revisiting a critical assessment of Gott's rule

TL;DR

This paper critically examines Gott's rule for predicting future durations based on present age, highlighting flaws in its derivation and emphasizing its limited applicability to phenomena without identifiable time scales.

Contribution

The paper identifies flaws in the common derivations of Gott's rule and clarifies that it should only be applied when no characteristic time scales are present.

Findings

Gott's rule derivations are flawed

It is only valid for phenomena lacking identifiable time scales

Indiscriminate use of Gott's rule is unjustified

Abstract

Gott has promulgated a rule for making probabilistic predictions of the future duration of a phenomenon based on the phenomenon's present age [Nature, Vol. 363, 315 (1993)]. I show that the two usual methods for deriving Gott's rule are flawed. Nothing licenses indiscriminate use of Gott's rule as a predictor of future duration. It should only be used when the phenomenon in question has no identifiable time scales.