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Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism

Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism

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MÜLLER, Thomas, 2020. Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism. In: Foundations of Physics. Springer Science+Business Media. 50(6), pp. 644-664. ISSN 0015-9018. eISSN 1572-9516. Available under: doi: 10.1007/s10701-019-00267-x

@article{Muller2020-06Defin-46274, title={Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism}, year={2020}, doi={10.1007/s10701-019-00267-x}, number={6}, volume={50}, issn={0015-9018}, journal={Foundations of Physics}, pages={644--664}, author={Müller, Thomas} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/46274"> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:issued>2020-06</dcterms:issued> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-07-09T14:56:24Z</dcterms:available> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <dcterms:abstract xml:lang="eng">In this paper we describe a novel approach to defining an ontologically fundamental notion of co-presentness that does not go against the tenets of relativity theory. We survey the possible reactions to the problem of the present in relativity theory, introducing a terminological distinction between a static role of the present, which is served by the relation of simultaneity, and a dynamic role of the present, with the corresponding relation of co-presentness. We argue that both of these relations need to be equivalence relations, but they need not coincide. Simultaneity, the sharing of a temporal coordinate, need not have fundamental ontological import, so that a relativizing strategy with respect to simultaneity seems promising. The notion of co-presentness, on the other hand, does have ontological import, and can therefore not be relativized to an observer or to an arbitrarily chosen frame. We argue that a formal representation of indeterminism can provide the structure needed to anchor the relation of co-presentness, and that this addition is in fact congenial to the notion of dynamic time as requiring real (indeterministic) change. The resulting picture is one of an extended dynamic present, implying a formal distinction between static (coordinate) simultaneity and dynamic co-presentness. After working out the basics of our approach in the simpler framework of branching time, we provide our full analysis in the framework of branching space-times, which allows for a formal definition of modal correlations. The spatial extension of the dynamic present can reach as far as the modal correlations do. In the limit, the dynamic present could extend across a maximal space-like hypersurface.</dcterms:abstract> <dc:language>eng</dc:language> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/46274/3/Mueller_2-e9fjspark3zz0.pdf"/> <dc:creator>Müller, Thomas</dc:creator> <dcterms:title>Defining a Relativity-Proof Notion of the Present via Spatio-temporal Indeterminism</dcterms:title> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/46274/3/Mueller_2-e9fjspark3zz0.pdf"/> <dc:contributor>Müller, Thomas</dc:contributor> <dc:rights>terms-of-use</dc:rights> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/46274"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-07-09T14:56:24Z</dc:date> </rdf:Description> </rdf:RDF>

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