Did you know that Maxwells Eqs can be written as the curvature of a line bundle, which is why you can obtain the (4D) Einsteins and Maxwells Eqs from 5D Einsteins Equations?
Only two of Maxwell's Equations can be derived from varying the action of QED (eq. 1)
To obtain the others, we need Fμν to satisfy the Bianchi Identity (eq. 2)
This implies that Fμν represents a 𝒄𝒖𝒓𝒗𝒂𝒕𝒖𝒓𝒆
This curvature is in a space called a "vector bundle" pic.twitter.com/qlflapqh0G
To obtain the others, we need Fμν to satisfy the Bianchi Identity (eq. 2)
This implies that Fμν represents a 𝒄𝒖𝒓𝒗𝒂𝒕𝒖𝒓𝒆
This curvature is in a space called a "vector bundle" pic.twitter.com/qlflapqh0G
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