Subsystems and independence in relativistic microscopic physics

Summers, Stephen J.

doi:10.1016/j.shpsb.2009.02.002

Cited by 26 publications

(22 citation statements)

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“…[14]). Another type of independence expresses the mutual compatibility of operations carried out on systems S 1 and S 2 ; this kind of independence is called operational C * -or W * -independence (see [31], [32] and section 7 for more details). Category theory helps to give a unified formulation of all these types of independence: realizing that one can regard both states and more general operations as morphisms between algebras, one can re-state the standard independence concepts in the form of categorial independence as morphism co-possibility.…”

Section: Causal Locality -Independence In Terms Of Categorial Conceptsmentioning

confidence: 99%

A categorial approach to relativistic locality

Rédei

2014

Studies in History and Philosophy of Science Part B: Studies in

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Relativistic locality is interpreted in this paper as a web of conditions expressing the compatibility of a physical theory with the underlying causal structure of spacetime. Four components of this web are distinguished: spatiotemporal locality, along with three distinct notions of causal locality, dubbed CLIndependence, CL-Dependence, and CL-Dynamic. These four conditions can be regimented using concepts from the categorical approach to quantum field theory initiated by Brunetti, Fredenhagen, and Verch [1]. A covariant functor representing a general quantum field theory is defined to be causally local if it satisfies the three CL conditions. Any such theory is viewed as fully compliant with relativistic locality. We survey current results indicating the extent to which an algebraic quantum field theory satisfying the Haag-Kastler axioms is causally local.Keywords: Quantum field theory, category theory, operator algebra theory, causality The main claimsThe question of whether quantum theory is compatible with relativity theory is a central issue in philosophy and foundations of physics. The compatibility in question would manifest in quantum theory satisfying "relativistic locality" conditions that express harmony of quantum theory with the conceptual picture of the physical world according to theory of relativity. Whether such a harmony $ Forthcoming in Studies in History and Philosophy of Modern Physics.

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Section: Causal Locality -Independence In Terms Of Categorial Conceptsmentioning

confidence: 99%

A categorial approach to relativistic locality

Rédei

2014

Studies in History and Philosophy of Science Part B: Studies in

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“…all states across (R, R ) above violate Bell-type inequalities), with generic maximal violation in many unexpected cases, such as non-interacting quantum field systems defined on diamond regions and their causal complement (Summers andWerner 1987, Halvorson andClifton 2000). Beyond the issue of the exact meaning of quantum entanglement, which actually also depends on the interpretative strategy that is adopted with respect to the measurement problem (see section 8), the violation of Bell-type inequalities -which is experimentally verified in the QM context -is widely understood as a consequence of some fundamental quantum non-locality.…”

Section: More Entanglementmentioning

confidence: 99%

“…The split property is typically satisfied in operationally interesting cases, e.g. for strictly space-like separated quantum field systems (see the discussion in Halvorson 2001, 28-29 andSummers 2009). Now, from the OSR understanding of generic entanglement in (the algebraic approach to) RQFT, what can be said about the ontology of the theory?…”

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confidence: 99%

The Entanglement Structure of Quantum Field Systems

Lam

2013

International Studies in the Philosophy of Science

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This essay considers the question of the ontology of relativistic quantum field theory (RQFT). It aims to discuss possible implications of the peculiarities of quantum entanglement and quantum non-locality within the algebraic approach to RQFT. Fundamental results such as the Reeh-Schlieder theorem do not only show that quantum entanglement is a truly central feature of RQFT, but also that quantum entanglement displays specific features that are absent at the level of quantum mechanics (QM). Although these technical results are well-known, their possible implications for the ontology of the theory have been surprisingly little discussed. In particular, I will consider how the board ontic structural realist understanding of quantum entanglement and quantum non-locality within QM naturally applies to RQFT and can contribute to the debate on the ontology of the theory. More generally, this essay aims to illustrate the relevance of the peculiar status of quantum entanglement and quantum non-locality within RQFT for the ontological debate.

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“…Just to mention a few, Brunetti et al (2003) claim that the notion of locality actually consists in two components: localizability in spacetime and the so-called kinematic independence. Summers (1990Summers ( , 2009) specifies independence in a number of different ways. Ruetsche (2011) regards relativistic covariance as the single manifestation of local causality, whereas Rédei (2014) takes the position that only a whole hierarchy of conditions expresses local causality.…”

Section: Introductionmentioning

confidence: 99%

A generalized definition of Bell’s local causality

Hofer‐Szabó

Vecsernyés

2015

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This paper aims to implement Bell's notion of local causality into a framework, called local physical theory, which is general enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell's original idea of local causality will then arise as the classical case of our definition. First, we investigate what is needed for a local physical theory to be locally causal. Then we compare local causality with Reichenbach's common cause principle and relate both to the Bell inequalities. We find a nice parallelism: both local causality and the common cause principle are more general notions than captured by the Bell inequalities. Namely, Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively.

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Subsystems and independence in relativistic microscopic physics

Abstract: 2016-12-24T18:10:15

Cited by 26 publications

References 69 publications

A categorial approach to relativistic locality

A categorial approach to relativistic locality

The Entanglement Structure of Quantum Field Systems

A generalized definition of Bell’s local causality

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