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Re: boosted electromagnetic fields



Alas yesterday I wrote in part:

The exact result is sinh(v/c). Hint: E^2 - B^2 is
a relativistic invariant scalar. [This is closely analogous
to t^2 - x^2 being an invariant scalar.]

I should have written sinh(rho), where rho is the rapidity,
and v/c = tanh(rho). Sorry.


Also I forgot to include a reference
http://www.av8n.com/physics/maxwell-ga.htm#eq-powers
which gives a nice geometric interpretation of B^2-E^2
as the norm of F. If you believe F is a well-behaved
geometric object, its norm should be frame-independent,
just as the norm of a four-vector is frame-independent.