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Weyl related position-dependent quantum phase freedom to a compensating electromagnetic potential in covariant differentiation. Simultaneous phase and potential changes preserve the proposed matter action, and the gauge-invariant action is connected with current conservation. A phase choice that varies from point to point changes how a wave field is differentiated. A corresponding potential change permits a covariant description. Weyl identifies the connection with electromagnetism and relates invariance to conservation within his specified action. This quantum unit-modulus phase construction differs from his earlier real-scale gauge proposal. The April PNAS sketch and the fuller May-received paper belong to one work family.
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Scientific scope
This entry isolates the local phase/potential connection. The original paper's broader electron-mass and gravitational-unification proposals are not certified or adopted wholesale. Maxwell dynamics require the stated action ansatz; local phase freedom alone is not a proof of a unique electromagnetic theory. Later non-Abelian theories remain separate.
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People and systems
Hermann Weyl
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English catalogue narrative
Weyl: local quantum phase and electromagnetic potential
Weyl related position-dependent quantum phase freedom to a compensating electromagnetic potential in covariant differentiation. Simultaneous phase and potential changes preserve the proposed matter action, and the gauge-invariant action is connected with current conservation.
A phase choice that varies from point to point changes how a wave field is differentiated. A corresponding potential change permits a covariant description. Weyl identifies the connection with electromagnetism and relates invariance to conservation within his specified action. This quantum unit-modulus phase construction differs from his earlier real-scale gauge proposal. The April PNAS sketch and the fuller May-received paper belong to one work family.
Scientific scope
This entry isolates the local phase/potential connection. The original paper's broader electron-mass and gravitational-unification proposals are not certified or adopted wholesale. Maxwell dynamics require the stated action ansatz; local phase freedom alone is not a proof of a unique electromagnetic theory. Later non-Abelian theories remain separate.
People and systems
Hermann Weyl