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    Home/Original/inverse
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    Inverse View

    It is not the case that A non-vanishing electromagnetic field produces a second clock effect, causing clocks transported along different world lines to tick at different rates upon reunion.

    ?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.Weyl's own geometry conflates gauge freedom with physical reality, since the electromagnetic field in his theory is a geometric artifact, not an independently measured physical quantity.
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    • 2.Einstein's 'measuring rod objection' (1918) demonstrates that if clock rates depended on path history through fields, atomic spectral lines would show field-dependent variations, which observation systematically disconfirms.
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    • 3.A mathematical identification of F_jk with the curl of a gauge potential does not establish causal efficacy; formal equivalence in a geometric model underdetermines the physical mechanism responsible for clock rate differences.
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    Reason for 2 of 2
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    • 1.The clock effect described presupposes that clocks are ideal integrators of the connection along worldlines, but real clocks are quantum systems whose rates are determined by local Hamiltonian dynamics, not path-dependent geometric accumulation.
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    • 2.Anandan and Aharonov (1990) showed that geometric phase effects require a distinction between the space of states and the space of observables, a distinction Weyl's classical geometric account of clocks systematically ignores.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.In Weyl geometry, the electromagnetic field is identified with the curl of the gauge potential A_j(x), i.e., F_jk(x).
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    • 2.The clock rates at event q are equal (l^A_q = l^B_q) if and only if the electromagnetic field tensor F_jk(x) vanishes.
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    • 3.A non-vanishing electromagnetic field means F_jk(x) ≠ 0.
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