Poincaré invariance for continuous-time histories | Zendy

Ntina Savvidou | Zendy

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Poincaré invariance for continuous-time histories

Author(s) -

Ntina Savvidou

Publication year - 2002

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1471924

Subject(s) - poincaré group , spacetime , mathematics , group (periodic table) , foliation (geology) , space time , mathematical physics , lagrangian , translation (biology) , field (mathematics) , classical mechanics , theoretical physics , pure mathematics , physics , quantum mechanics , biochemistry , chemistry , geochemistry , messenger rna , metamorphic rock , gene , geology , chemical engineering , engineering

We show that the relativistic analogue of the two types of time translationin a non-relativistic history theory is the existence of two distinctPoincar\'{e} groups. The `internal' Poincar\'{e} group is analogous to the onethat arises in the standard canonical quantisation scheme; the `external'Poincar\'{e} group is similar to the group that arises in a Lagrangiandescription of the standard theory. In particular, it performs explicit changesof the spacetime foliation that is implicitly assumed in standard canonicalfield theory.Comment: 32 pages, Latex. In a non-relativistic history theory there exist two distinct Poincare' groups. The `internal' Poincare' group is analogous to the one that arises in standard canonical quantisation scheme; the `external' Poincare' group performs explicit changes of the spacetime foliation that is implicitly assumed in standard canonical field theor

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