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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJul 25th 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexsplit off [[time slice axiom]] from [[local net]]

   split off time slice axiom from local net

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 30th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexProdded by today's * [[Alexander Strohmaier]], [[Edward Witten]], *The Timelike Tube Theorem in Curved Spacetime* &lbrack;[arXiv:2303.16380](https://arxiv.org/abs/2303.16380)&rbrack; I have added reference son the "time tube theorem": * [[Hans-Jürgen Borchers]], *Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre*, Il Nuovo Cimento (1955-1965) **19** (1961) 787–793 &lbrack;[doi:10.1007/BF02733373](https://doi.org/10.1007/BF02733373)&rbrack; * [[Huzihiro Araki]], *A generalization of Borchers' theorem*, Helvetica Physica Acta **36** (1963) 132-139 Generalization to [[AQFT on curved spacetimes|AQFT on curved]] but [[real analytic space|real analytic]] [[spacetimes]]: * [[Alexander Strohmaier]], *On the Local Structure of the Klein–Gordon Field on Curved Spacetimes*, Letters in Mathematical Physics **54** (2000) 249–261 &lbrack;[doi:10.1023/A:1010927625112](https://doi.org/10.1023/A:1010927625112), [arXiv:math-ph/0008043](https://arxiv.org/abs/math-ph/0008043)&rbrack; * Alexander Strohmaier, Edward Witten, *Analytic states in quantum field theory on curved spacetimes* &lbrack;[arXiv:2302.02709](https://arxiv.org/abs/2302.02709)&rbrack; These may deserve to go into a dedicated entry, but for the moment I made "time tube theorem" redirect to here. <a href="https://ncatlab.org/nlab/revision/diff/time+slice+axiom/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/time+slice+axiom/4">v4</a>, <a href="https://ncatlab.org/nlab/show/time+slice+axiom">current</a>

   Prodded by today’s

   • Alexander Strohmaier, Edward Witten, The Timelike Tube Theorem in Curved Spacetime [arXiv:2303.16380]

   I have added reference son the “time tube theorem”:

   • Hans-Jürgen Borchers, Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre, Il Nuovo Cimento (1955-1965) 19 (1961) 787–793 [doi:10.1007/BF02733373]

   • Huzihiro Araki, A generalization of Borchers’ theorem, Helvetica Physica Acta 36 (1963) 132-139

   Generalization to AQFT on curved but real analytic spacetimes:

   • Alexander Strohmaier, On the Local Structure of the Klein–Gordon Field on Curved Spacetimes, Letters in Mathematical Physics 54 (2000) 249–261 [doi:10.1023/A:1010927625112, arXiv:math-ph/0008043]

   • Alexander Strohmaier, Edward Witten, Analytic states in quantum field theory on curved spacetimes [arXiv:2302.02709]

   These may deserve to go into a dedicated entry, but for the moment I made “time tube theorem” redirect to here.

   diff, v4, current