Recent content by solitonion

I think I found your mistake here Hi Martin, Using the fact that transposing the product of two operator swaps them and gives the product of their transposes (A B)^\dagger = B^\dagger A^\dagger we have...

Hi Ryan(onomous), Consider f(x,y) = z, where x=r\cos\phi and y=r\sin\phi, we calculate the metric via the 1st fundamental form on the surface: g_{11} = E = x_{,r}x_{,r}+y_{,r}y_{,r}+z_{,r}z_{,r}, g_{12} = F = x_{,r}x_{,\phi}+y_{,r}y_{,\phi}+z_{,r}z_{,\phi}, g_{22} = G =...

I think the capacitor analogy fails because thereyou have positive and negative charge so the symmetry is gone to begin with. I tend to agree with the last poster althogh I find the mathematics of physics monkeys reply satisfactory

Thanks for pointing this out so clearly. Issue is resolved.

What is wrong with the symmetry argument?

I agree the hamiltonian is unbounded and so the constraint equations are violated. However, if I write down the energy density measured by a timelike obsever locally I get T_{a b}\,u^{a}u^{b}=T_{00} \sim \vec{E}^2. If the electric field is zero locally then I obey the weak energy condition...

I don't think I need to calculate the Coulomb force directly. I am using the fact the distribution is infinitely largge, homogeneous, and isotropic throughout my space. By symmetry I reason that the net force on a test charge placed anywhere in this space is zero.

If I have a hypothetical infinite 3 dimensional universe uniformly charged I can argue that the electric field is zero at any given point in space by symmetry. However, if I invoke Gauss' Law I find a non-zero flux of electric field through a gaussian surface encompassing any amount of charge...

I am working on the self-force problem with Poisson as my supervisor. That certainly helps ;)

Try this link:http://www.physics.princeton.edu/~mcdonald/examples/EM/dewitt_physics_1_3_64.pdf"

If my memory serves, the classic paper on this topic is by Cecil and Bryce Dewitt titled "Falling Charges".

Hi, I recommend Dirac's Lectures on Quantum Mechanics. It is about 5 bucks and is well worth it. The 2nd lecture is "The Problem of Quantization".