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On the modal aspects of causal sets

Placek, Tomasz (2019) On the modal aspects of causal sets. [Preprint]

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Abstract

The possibility question concerns the status of possibilities: do they form an irreducible category of the external reality, or are they merely features of our cognitive framework? If fundamental physics is ever to shed light on this issue, it must be done by some future theory that unifies insights of general relativity and
quantum mechanics. The paper investigates one programme of this kind, namely the causal sets programme, as it apparently considers alternative developments of a given system. To evaluate this claim, we prove some algebraic facts about the sequential growth of causal sets. These facts tell against alternative developments, given that causal sets are understood as particular events. We thus interpret causal sets as multi-realisable objects, like states. This interpretation, however, is undermined by an argument for the probabilistic constraint of General Covariance, as it says that multiple paths along which a causal set is produced are not physically different.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Placek, Tomasztomasz.placek@uj.edu.pl
Additional Information: To appear in Foundations of Physics, in Special Issue on modality in physics
Keywords: causal sets; sequential growth; modality
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Gravity
Depositing User: Tomasz Placek
Date Deposited: 01 Jul 2019 18:29
Last Modified: 01 Jul 2019 18:29
Item ID: 16164
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Gravity
Date: 29 June 2019
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/16164

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