These equations are fully compatible with special relativity, as can be shown by writing them covariantly in terms of the Faraday tensor. For 10 points each:
[10e] Identify this group of four equations named for a scientist who added a displacement current term to one of them.
ANSWER: Maxwell’s equations [or James Clerk Maxwell’s equations]
[10h] When Maxwell’s equations are written covariantly using differential forms, one of the two equations states that the exterior derivative of this operation on the 2-form F equals the 3-form J.
ANSWER: Hodge star of F [or Hodge dual of F; accept negative Hodge star of F or negative Hodge dual of F or equivalents; prompt on (negative) star of F or (negative) dual of F or equivalents]
[10m] The signs in covariant versions of Maxwell’s equations differ under two metrics sometimes dubbed the “West Coast” and “East Coast” metrics. Give either metric, as a sequence of four numbers or signs, with the timelike component first.
ANSWER: +1, –1, –1, –1 OR –1, +1, +1, +1 [accept plus, minus, minus, minus OR minus, plus, plus, plus]
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