Sagittarius A-Star's latest activity

I think the point is, that for the charge line-density, the quadratic term in ##\beta'## is the first nonzero term. The constant terms...

The simplified calculation, I linked to in posting #42, does an approximation for small ##v## in equation (1). But of course, the...

Isn't the explanation simply that even a second order term can be relevant if it has a large enough constant factor? You should...

I think that cannot be, because Purcell does a calculation of the electric force in the rest frame of the object via lenght contraction...

At @PeterDonis wrote in posting #4, the Lorentz force is ##F = q \left( \vec{E} + \vec{v} \times \vec{B} \right)##. If there is no...

You might be right here. My statement above was based on symmetry w.r.t. the normal to the conductor that passes through the test...

except the force, cause I don't know the force's direction in frame ##S## now.

Does my picture in posting #26 describe correctly your case in lab-frame ##S##?

In the labframe ##S## in my drawing in posting #26, the ##x## axis points in the same horizontal direction as ##u_1##, the ##y## axis in...

As I understand your scenario, the object is moving in frame ##S## not parallel and not perpendicular to the conductor. But the force...

Which is equivalent to what I wrote in post #4, i.e., it is not just the magnetic force. So what I said in post #4 would apply if one...

One could start from the equation for the Lorentz 4-force and from that it is rest mass-preserving. Source

In Geometric Algebra, the Hodge * operation is replaced by an algebraic operation, a multiplication with the unit pseudo-scalar ##I##...

Here's a different approach by Fred Hehl: (1999) Classical Electrodynamics: A Tutorial on its Foundations Friedrich W. Hehl, Yuri N...

This can be found in chapter 38 of the book "Introduction to Special Relativity, 2nd Edition" by Wolfgang Rindler...