Time is Order

TL;DR

This paper argues that time fundamentally functions as an order relation, contrasting with relationalist views, and discusses implications for general relativity and quantum gravity.

Contribution

It defends the view that time as an order relation is compatible with general relativity, challenging relationalist perspectives in quantum gravity.

Findings

Time as an order relation aligns with general relativity.

Relationalist view faces conceptual challenges.

Implications for quantum gravity theories.

Abstract

In this paper I argue that the fundamental aspect of our notion of time is that it defines an order relation, be it a total order relation between configurations of the world or just a partial order relation between events. This position is in contrast with a relationalist view popular in the quantum gravity literature, according to which it is just correlations between physical quantities that we observe and which capture every aspect of temporality in the world, at least according to general relativity. I argue that the view of time as defining an order relation is perfectly compatible with the way general relativity is applied, while the relationalist view has to face some challenges. This debate is important not only from the perspective of the metaphysics of space and time and of how to interpret our physical theories, but also for the development and understanding of theories of quantum gravity.