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On Types of Observables in Constrained Theories

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arxiv 1604.05415 v1 pith:I6O4SHUN submitted 2016-04-19 gr-qc

classification gr-qc
keywords a-observablesalgebraicobservablesconstrainednotionnotionssubstructuretheories
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The Kuchar observables notion is shown to apply only to a limited range of theories. Relational mechanics, slightly inhomogeneous cosmology and supergravity are used as examples that require further notions of observables. A suitably general notion of A-observables is then given to cover all of these cases. `A' here stands for `algebraic substructure'; A-observables can be defined by association with each closed algebraic substructure of a theory's constraints. Both constrained algebraic structures and associated notions of A-observables form bounded lattices.

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Cited by 1 Pith paper

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  1. Nambu variant of Local Resolution of Problem of Time and Background Independence

    gr-qc 2019-08 reject novelty 5.0 of 10

    The paper extends a local resolution of the Problem of Time to Nambu n-ary bracket formalism, introducing Nambu-Dirac and Nambu algorithms and a claimed uniqueness theorem for Nambu observables.

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