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    Home/Original/inverse
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    Inverse View

    It is not the case that In general relativity the gauge factor necessarily becomes an arbitrary function of spacetime position.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Global gauge symmetry in special relativity already permits arbitrary constant phase transformations without position-dependence, showing gauge freedom precedes GR.
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    • 2.Weyl's own 1918 unified field theory introduced local gauge invariance as an independent postulate, not as a consequence derived from GR's tetrad structure.
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    • 3.The necessity claim conflates a sufficient condition (curved spacetime with local tetrads) with a necessary one, since local gauge freedom can be stipulated in flat spacetime.
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    Reason for 2 of 2
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    • 1.Norton's hole argument analysis shows that general covariance in GR underdetermines the physical interpretation of spacetime-dependent transformations.
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    • 2.The inference from 'each point has an independent tetrad' to 'gauge factor must be position-dependent' suppresses the conventionalist alternative that global gauges remain physically admissible by stipulation.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.In general relativity every spacetime point has its own local tetrad.
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    • 2.The gauge freedom in the spinor transformation is tied to each tetrad independently.
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    • 3.The rigid connection between tetrads at different points is removed in general relativity.
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