2018
DOI: 10.1103/physrevd.97.123541
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Dynamical similarity

Abstract: We examine "dynamical similarities" in the Lagrangian framework. These are symmetries of an intrinsically determined physical system under which observables remain unaffected, but the extraneous information is changed. We establish three central results in this context: i) Given a system with such a symmetry there exists a system of invariants which form a subalgebra of phase space, whose evolution is autonomous; ii) this subalgebra of autonomous observables evolves as a contact system, in which the friction-l… Show more

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Cited by 39 publications
(79 citation statements)
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“…Following the procedure laid out in [19], we see that this system has an autonomous subsystem of dynamics of the invariants of V, given by the contact Hamiltonian H c and contact form η…”
Section: Dynamical Similarity In Flrw Cosmologymentioning
confidence: 99%
“…Following the procedure laid out in [19], we see that this system has an autonomous subsystem of dynamics of the invariants of V, given by the contact Hamiltonian H c and contact form η…”
Section: Dynamical Similarity In Flrw Cosmologymentioning
confidence: 99%
“…Even though today the cosmological constant is measured to be Λ = 2.846×10 −122 [54] in Planck units, we allow for the possibility become more tightly clustered around ϕ = 0. Darker areas correspond to a higher value of P as given in (52).…”
Section: Example: ϕ 4 Inflationmentioning
confidence: 99%
“…[4] studied variational aspects of contact Hamiltonian mechanics and ref. [5] applied contact geometric methods to a theory of gravity called shape dynamics [6][7][8] (see ref. [9] for a review of shape dynamics).…”
Section: Introductionmentioning
confidence: 99%