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dc.contributor.author
Vilasini, Venkatesh
dc.contributor.author
Colbeck, Roger
dc.date.accessioned
2022-01-25T10:35:44Z
dc.date.available
2022-01-19T15:43:25Z
dc.date.available
2022-01-25T10:35:44Z
dc.date.issued
2021-09-24
dc.identifier.uri
http://hdl.handle.net/20.500.11850/526987
dc.description.abstract
Causality is fundamental to science, but it appears in several different forms. One is relativistic causality, which is tied to a space-time structure and forbids signalling outside the future. On the other hand, causality can be defined operationally using causal models by considering the flow of information within a network of physical systems and interventions on them. From both a foundational and practical viewpoint, it is useful to establish the class of causal models that can coexist with relativistic principles such as no superluminal signalling, noting that causation and signalling are not equivalent. We develop such a general framework that allows these different notions of causality to be independently defined and for connections between them to be established. The framework first provides an operational way to model causation in the presence of cyclic, fine-tuned and non-classical causal influences. We then consider how a causal model can be embedded in a space-time structure and propose a mathematical condition (compatibility) for ensuring that the embedded causal model does not allow signalling outside the space-time future. We identify several distinct classes of causal loops that can arise in our framework, showing that compatibility with a space-time can rule out only some of them. We then demonstrate the mathematical possibility of operationally detectable causal loops embedded in Minkowski space-time that do not lead to superluminal signalling. Our framework provides conditions for preventing superluminal signalling within arbitrary (possibly cyclic) causal models and also allows us to model causation in post-quantum theories admitting jamming correlations. Finally, this work introduces a new causal modelling concept of ``higher-order affects relations'' and several related technical results, which have applications for causal discovery in fined-tuned causal models.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Possibility of causal loops without superluminal signalling - a general framework
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
2109.12128
en_US
ethz.size
56 p.
en_US
ethz.identifier.arxiv
2109.12128
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
en_US
ethz.date.deposited
2022-01-19T15:43:33Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2022-01-25T10:35:55Z
ethz.rosetta.lastUpdated
2022-01-25T10:35:55Z
ethz.rosetta.versionExported
true
ethz.COinS
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