NDLI: Dynamical Locality and Covariance: What Makes a Physical Theory the Same in all Spacetimes?

Content Provider	Springer Nature Link
Author	Fewster, Christopher J. Verch, Rainer
Copyright Year	2012
Abstract	The question of what it means for a theory to describe the same physics on all spacetimes (SPASs) is discussed. As there may be many answers to this question, we isolate a necessary condition, the SPASs property, that should be satisfied by any reasonable notion of SPASs. This requires that if two theories conform to a common notion of SPASs, with one a subtheory of the other, and are isomorphic in some particular spacetime, then they should be isomorphic in all globally hyperbolic spacetimes (of given dimension). The SPASs property is formulated in a functorial setting broad enough to describe general physical theories describing processes in spacetime, subject to very minimal assumptions. By explicit constructions, the full class of locally covariant theories is shown not to satisfy the SPASs property, establishing that there is no notion of SPASs encompassing all such theories. It is also shown that all locally covariant theories obeying the time-slice property possess two local substructures, one kinematical (obtained directly from the functorial structure) and the other dynamical (obtained from a natural form of dynamics, termed relative Cauchy evolution). The covariance properties of relative Cauchy evolution and the kinematic and dynamical substructures are analyzed in detail. Calling local covariant theories dynamically local if their kinematical and dynamical local substructures coincide, it is shown that the class of dynamically local theories fulfills the SPASs property. As an application in quantum field theory, we give a model independent proof of the impossibility of making a covariant choice of preferred state in all spacetimes, for theories obeying dynamical locality together with typical assumptions.
Starting Page	1613
Ending Page	1674
Page Count	62
File Format	PDF
ISSN	14240637
Journal	Annales Henri Poincaré
Volume Number	13
Issue Number	7
e-ISSN	14240661
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2012-03-24
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Elementary Particles, Quantum Field Theory Theoretical, Mathematical and Computational Physics Quantum Physics Mathematical Methods in Physics Classical and Quantum Gravitation, Relativity Theory Dynamical Systems and Ergodic Theory
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Nuclear and High Energy Physics Mathematical Physics

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