Question

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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Data

TeamOpponentPart 1Part 2Part 3Total
Berkeley AJohns Hopkins10101030
Berkeley BMinnesota B1001020
BrownGeorgia Tech1001020
Chicago AWaterloo1001020
Chicago BIndiana10101030
Chicago CSouth Carolina100010
Chicago DCornell B1001020
Columbia APurdue1001020
DukeVirginia100010
HarvardNorth Carolina B100010
KentuckyVanderbilt1001020
MarylandIllinois1001020
McGillTruman State1001020
Minnesota ATexas1001020
North Carolina AStanford1001020
NorthwesternIowa State100010
PennFlorida1001020
RutgersColumbia B100010
Toronto ANYU1001020
WUSTL ACornell A1001020
WUSTL BToronto B1001020
Yale AMichigan1001020
Yale BClaremont Colleges100010

Summary

TournamentEditionExact Match?HeardPPBEasy %Medium %Hard %
2024 ACF Nationals04/21/2024Y2318.26100%74%9%