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Maxwell's Equations forbid longitudinal waves because they are incorrect.

The proper equations do not forbid longitudinal waves,

X2E = [ (d2/dr2 - Del2) , 2d/dr Del][e, E] =

X2E= [ (d2/dr2 - Del2)e -2d/dr Del.E, (d2/dr2 - Del2)E + 2d/dr(Del e + DelxE) ]

The longitudinal wave is the scalar wave: (d2/dr2 - Del2)e - 2d/dr Del.E

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Q: Why do Maxwell's equations forbid longitudinal waves?
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