Stochastic Einstein Locality Revisited |
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| Authors: | Butterfield Jeremy |
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| Institution: | Trinity College, Cambridge CB2 1TQ, UK |
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| Abstract: | I discuss various formulations of stochastic Einstein locality(SEL), which is a version of the idea of relativistic causality,that is, the idea that influences propagate at most as fastas light. SEL is similar to Reichenbach's Principle of the CommonCause (PCC), and Bell's Local Causality. My main aim is to discuss formulations of SEL for a fixed backgroundspacetime. I previously argued that SEL is violated by the outcomedependence shown by Bell correlations, both in quantum mechanicsand in quantum field theory. Here I reassess those verdictsin the light of some recent literature which argues that outcomedependence does not violate the PCC. I argue that the verdictsabout SEL still stand. Finally, I briefly discuss how to formulate relativistic causalityif there is no fixed background spacetime. - 1 Introduction
- 2Formulating Stochastic Einstein Locality
- 2.1 Events and regions
- 2.2 The idea of SEL
- 2.3 Three formulations of SEL
- 2.3.1The formulations
- 2.3.2Comparisons
- 2.4 Implications betweenthe formulations
- 2.4.1 Conditions forthe equivalence of SELD1and SELD2
- 2.4.2 Conditions for theequivalence of SELS andSELD2
- 3 Relativistic Causality in the Bell Experiment
- 3.1 The background
- 3.1.1 The Bell experiment reviewed
- 3.1.2My previous position
- 3.2 A common common cause? The Budapestschool
- 3.2.1 Resuscitatingthe PCC
- 3.2.2 Known proofs of aBell inequality need a strongPCC
- 3.2.3 Two distinctions
- 3.2.4Szabó's model
- 3.2.5A common common cause is plausible
- 3.2.6 Bell inequalitiesfrom a weak PCC: the Bern school
- 3.3 SEL in the Bell experiment
- 3.3.1 PCC and SEL are connectedby PPSI
- 3.3.2 The need forother judgments
- 3.3.3 Weak vs.strong SELD
- 4 SEL in Algebraic Quantum Field Theory
- 4.1 The story so far
- 4.2 Questions
- 4.2.1 Our formulations
- 4.2.2 The BudapestandBern schools
- 5 SEL in DynamicalSpacetimes
- 5.1 SEL for metric structure?
- 5.2 SEL for causalsets?
- 5.2.1 The causal set approach
- 5.2.2Labelled causalsets; general covariance
- 5.2.3 Deducing thedynamics
- 5.2.4The fate of SEL
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