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nLab > Latest Changes: field bundle

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2013
    • (edited Jan 6th 2013)
    • CommentRowNumber2.
    • CommentAuthorjim_stasheff
    • CommentTimeJan 7th 2013
    @The notion of field bundle captures only some aspects of the general notion of spaces of physical fields.

    It would be good to have one non-bundle example right here.
    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 7th 2013
    • (edited Jan 7th 2013)

    Okay, had said

    The notion of field bundle captures only some aspects of the general notion of spaces of physical fields. See at field (physics) in the section The idea of field bundles and its problems for more.

    I have expanded that now to

    The notion of field bundle captures only some aspects of the general notion of spaces of physical fields. For instance the configurations of the B-field in general do not form sections of a fiber bundle (but of a fiber 2-bundle) and hence for instance the magnetic charge anomaly has no real description by field bundles. See at field (physics) in the section The idea of field bundles and its problems for more.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 7th 2013
    • (edited Jan 7th 2013)

    I have now considerable expanded the discussion at

    The traditional notion of field bundle and its problems

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJan 22nd 2013

    More discussion about the issue that the “field bundle” is in general not a 1-bundle but a bundle in higher geometry is now taking place here.

    I realize that I should have amplified this point long ago. Better late than never.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeSep 15th 2014

    added a pointer to Schenkel 14 which makes more explicit the issue previously discussed in BDS 13.

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 6th 2024

    Fixed a hyperlink to Claessens.

    diff, v16, current

1 to 7 of 7

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