Invariant Definition and 406 Threads

HI guys first post :cool: I need to show that B^2-E^2/C^2 is invariant under Lorentz transformation (E and B are electromagnetic fields) now: B^2-E^2/C^2=B^2_x+B^2_y+B^2_z-E^2_x/C^2-E^2_y/C^2-E^2_z/C^2) and E'_x=E_x E'_y=\gamma(E_y-\frac{v}{c}B_z)...

I say the only viewpoint available that provides us with the truth is the center of mass. You go ahead be my guest and choose another but be ware: Your physics will not remain the same. Let's fix the coordinate system on the sun and watch the Earth moving. The sun is truly immovable thus has no...

http://arxiv.org/PS_cache/astro-ph/pdf/0401/0401094.pdf a 24 page paper on the "FINE STRUCTURE", concludes that it is invariant over cosmological time scales.

Maxwell's eqn, in invariant form reads: F^{\mu \nu}{}_{;\nu} = J^{\mu} and F_{\alpha \beta ;\gamma} + F_{\beta \gamma ;\alpha}+F_{\gamma \alpha; \beta} = 0 Can someone give Maxwell's eqn if there is magnetic charge and current? I do not believe the form (matrix element) of F change...

"Observer Dependant" vs "Invariant" The point I want to make in this thread is on something with is rather subtle. Define the quantity, m, as the quantity such that, in an inertial frame, mv is conserved. Call this quantity "mass" (some call this "relativistic mass") For tardyon's...

"Invariant Mass" vs "Proper Mass" I see that there are many people here who prefer the idea that the mass of a particle is the magnitude of the the particle's 4-momentum. However that is known as "Proper Mass" and some simply say "mass." However that idea is limited in use. It can't be...