This is exactly what I can't figure out. The book specifically says that different forms for the equation of the force will arise in the different frames due to the apparent motion of the system that a moving observer would see in their frame. I can't see how the Lorentz equations would solve...
Because the equations for the electromagnetic force acting on the point charge near the wire will have different forms in the two frames of reference, and therefore wouldn't be invariant under a Galilean transformation.
Its the example given in my textbook for why a Galilean transformation won't work with Maxwell's equations. I realize that a Lorentz transformation would resolve this problem (which the book suggests without explanation), I'm just not sure precisely how.
Thanks for the links. I'm just starting out with courses in quantum physics and relativity so I have a long way to go, but the book we're using seems to leave out some rigor and detail at certain points that I think I need to grasp a firm understanding before moving on, so I'm trying to fill in...
That is basically my question in a nutshell. I understand that the total force will be the same, but I'm having trouble figuring out how the Lorentz equations allow for this while Galilean equations do not.
Is it "The Principle of Relativity: A Collection of Original Memoirs on the Special and General Theory of Relativity" ?
I thought I understood the answer to this question in terms of the speed of light being constant regardless of the sources motion and therein the failure of the classical...
I'm reading how the Lorentz equations allow for relativistic transformation that can include Maxwell's equations but I'm a bit confused on how it solves the problem of Maxwell's equations being variant under a Galilean transformation. The example I'm looking at says that if you are moving away...
I agree. Thats why I think the whole premise of collecting hydrogen ions from space as a means of propulsion is impractical...unless maybe its an endeavor 1000 years from now to send a multigenerational crew to another solar system.
The scoop has to be in the area of 100 miles in diameter I think. The scope and cost of such an engineering feat is on all whole different level than anything that has ever been done before.
Are there any theories out there right now that express the idea of the universe as we see it being an interval of sorts on an infinite scale? For example, if one we're to keep zooming in forever on a fundamental particle, would they start to see that maybe the very constituants of the particles...
I need a bit of help with these boundary value problems. I'm trying to find their eigenvalues and eigenfunctions and although I pretty much know how to do it, I want to exactly WHY I'm doing each step. I attached part of my work, and on it I have a little question next to the steps I need...
Poverty and disease is a problem of the many, caused by the few, to be solved only by the whole. It doesn't serve society well to abandon your dreams in pursuit of a problem you can't fix. Until religion and hardcore politics are a thing of the past, you will contribute more to the greater good...