Causation as Constraints in Causal Set Theory

Abstract

Many approaches to quantum gravity -the theory that should account for quantum and gravitational phenomena under the same theoretical umbrella- seem to point at some form of spacetime emergence, i.e., the fact that spacetime is not a fundamental entity of our physical world. This tenet has sparked many philosophical discussions: from the so-called empirical incoherence problem to different accounts of emergence and mechanisms thereof. In this contribution, I focus on the partial order relation of causal set theory and argue that causation can be characterized as an a-temporal constraint over the kinematic space defined by the theory. The relation constrains the growth of a new element/event with respect to the other elements/events of a given set. Therefrom, the flow of time emerges from the collection of the possible growths of the given set, where each possibility is characterized by a classical probability assigned by the dynamics of the theory.

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Marco Forgione
University of Milan

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References found in this work

How the laws of physics lie.Nancy Cartwright - 1983 - New York: Oxford University Press.
Causation.David Lewis - 1973 - Journal of Philosophy 70 (17):556-567.
Causality.Judea Pearl - 2000 - New York: Cambridge University Press.
The Analysis of Matter.Bertrand Russell - 1927 - London: Kegan Paul.

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