Time of Philosophers, Time of Physicists, Time of Mathematicians

TL;DR

This paper examines how different theories of time relate to physics, proposing a unique form of presentism compatible with relativity and quantum mechanics, but at the expense of objective reality, and highlights the role of mathematics in unifying eternalism.

Contribution

It identifies a specific version of presentism compatible with modern physics and discusses the implications of physical theories on metaphysical views of time and reality.

Findings

A unique form of presentism aligns with relativity and quantum mechanics.

Most forms of presentism do not survive in general relativity without restrictions.

Mathematics serves as a unifying framework for eternalist metaphysics.

Abstract

Is presentism compatible with relativity ? This question has been much debated since the argument first proposed by Rietdijk and Putnam. The goal of this text is to study the implications of relativity and quantum mechanics on presentism, possibilism, and eternalism. We put the emphasis on the implicit metaphysical preconceptions underlying each of these different approaches to the question of time. We show that there exists a unique version of presentism which is both non-trivial, in the sense that it does not reduce the present to a unique event, and compatible with special relativity and quantum mechanics: the one in which the present of an observer at a point is identified with the backward light cone of that point. However, this compatibility is achieved at the cost of a renouncement to the notion of an objective, observer-independent reality. We also argue that no non-trivial version of presentism survives in general relativity, except if some mechanism forbids the existence of closed timelike curves, in which case precisely one version of possibilism does survive. We remark that the above physical theories force the presentist/possibilist's view of reality to shrink and break up, whereas the eternalist, on the contrary, is forced to grant the status of reality to more and more entities. Finally, we identify mathematics as the "deus ex machina" allowing the eternalist to unify his vision of reality into a coherent whole, and offer to him an "idealist deal": to accept a mathematical ontology in exchange for the assurance of surviving any physical theory.