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    The gauge factor must be treated as a constant in special... — Carmelics
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    Home/Modality & Possibility
    HistoryEditSee Inverse

    The gauge factor must be treated as a constant in special relativity.

    CausationModality & Possibility
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.In special relativity there is only a single point-independent tetrad.
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    • 2.With a single global tetrad, there is no basis for allowing the gauge factor to vary from point to point.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Weyl's original 1918 gauge theory permitted point-dependent scale factors even in flat spacetime, prior to any metrical commitments.
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    • 2.The restriction to a global tetrad in SR presupposes a fixed metric structure, but gauge freedom operates at a level logically prior to metric fixing.
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    • 3.London's 1927 reinterpretation showed gauge phase can vary locally even in non-curved contexts, demonstrating the variability is not precluded by SR's kinematic constraints.
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    Reason against 2 of 2
    ?
    • 1.The existence of a single global tetrad establishes only a preferred frame, not a prohibition on local rescalings of physically redundant degrees of freedom.
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    • 2.As O'Raifeartaigh argued in reconstructing gauge history, the gauge principle is a formal symmetry requirement independent of whether spacetime is curved or flat.
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    Related

    As O'Raifeartaigh argued in reconstructing gauge history, the gauge principle is...In special relativity there is only a single point-independent tetrad.London's 1927 reinterpretation showed gauge phase can vary locally even in non-c...The existence of a single global tetrad establishes only a preferred frame, not ...
    +3 moreShow less
    The restriction to a global tetrad in SR presupposes a fixed metric structure, b...Weyl's original 1918 gauge theory permitted point-dependent scale factors even i...With a single global tetrad, there is no basis for allowing the gauge factor to ...

    Similar

    In general relativity the gauge factor necessarily becomes an arbitrar...85%General relativity, like Maxwell's theory of electromagnetism, possess...73%Genuine observables must be gauge-invariant (defined on the physical H...73%Mie's approach is necessarily limited to the framework of special rela...71%

    Source

    AI-extracted1/3 agreementValid
    SEP: weyl
    View source passageHide passage
    We come now to the critical part of the theory. In my view the origin and the necessity for the electromagnetic field lie in the following justification. The components \(\psi_{1},\psi_{2}\) are, in fact, not uniquely determined by the tetrad but only to the extent that they can still be multiplied by an arbitrary “gauge-factor” \(e^{i\lambda}\) of absolute value 1. The transformation of the \(\psi\) induced by a rotation of the tetrad is determined only up to such a factor. In the special
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit