Are Dynamic Shifts Dynamical Symmetries?

Shifts are a well-known feature of the literature on spacetime symmetries. Recently, discussions have focused on so-called dynamic shifts, which by analogy with static and kinematic shifts enact arbitrary linear accelerations of all matter (as well as a change in the gravitational potential). But in...

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Publicado en:Philosophy of Science Vol. 90; no. 5; pp. 1352 - 1363
Autor principal: Jacobs, Caspar
Formato: Artículo
Publicado: Cambridge University Press Dec2023
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: Are Dynamic Shifts Dynamical Symmetries?
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        au: Jacobs, Caspar
        affil: Merton College, University of Oxford, Merton Street, Oxford, United Kingdom
      su:
        Space-time symmetries
        Linear acceleration
        Gravitational potential
        Symmetry
        Analogy
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          Space-time symmetries
          Linear acceleration
          Gravitational potential
          Symmetry
          Analogy
      ab: Shifts are a well-known feature of the literature on spacetime symmetries. Recently, discussions have focused on so-called dynamic shifts, which by analogy with static and kinematic shifts enact arbitrary linear accelerations of all matter (as well as a change in the gravitational potential). But in mathematical formulations of these shifts, the analogy breaks down: while static and kinematic shift act on the matter field, the dynamic shift acts on spacetime structure instead. I formulate a different, "active," version of the dynamic shift which does act on matter, and analyse the consequences of this reformulation for Newton–Cartan theory and Maxwell gravitation.
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