Recent content by thierrykauf

There are several routes that you can take. First, the number of different fields is finite, and characterized by their spin. Spin zero is scalar field. Spin 1 is a vector field (Electromagnetic field), spin 2 is a tensor field (Gravity). The Dirac Lagrangian is the simplest Lagrangian whose...

If the particle falls into the black hole, is it still scattering? How do you define your S matrix? (I'm rusty on this)

If you put a conductor between two charges, doesn't the electric field vanish inside ?

Israel, W., (1967). “Event horizons in static vacuum spacetimes”, Phys. Rev. 164, 1776. Israel, W., (1968). “Event horizons in static electrovac spacetimes”, Commun. Math. Phys. 8, 245. Kerr, R. P., (1963). “Gravitational field of a spinning mass as an example of algebraically special...

Are you reading Hawking's paper?

The only reason, in my mind, why people start teaching quantum mechanics in high school, is not, sadly, because high school students suddenly became brighter, but because the amount of material needed to bring a student to the level of string theory is so large that you would need 48 hour days...

Infinity is not a number. It can only be approached, in the limit, but never reached. Take a large number N. Add 1 to it. You obtain N+1 which is always greater than N. But in the limit N goes to infinity, lim N = lim N+1. Does that mean N=N+1? Not at all.

$$\bar{\psi}\gamma^\mu \partial_\mu \psi$$ becomes $$\bar{\psi}e^{-i\phi(x)}\gamma^\mu[\partial_\mu + e\frac{\partial\phi(x)}{\partial x}]e^{i\phi(x)}\psi$$ under an internal rotation with one angle, hence the (1) of U(1). When the electron is placed in an external electromagnetic field, the...

The principle of equivalence means that gravity only acts at scales that are not infinitesimal, unlike any purely local interaction. That is why detection efforts focus on large scale events. Otherwise, your idea was correct. As for the Xeon detector, results from the Lux Dark Matter experiment...

I'm not doing research in this area and I thought I could answer your question without checking with recent papers. I was wrong. So rather than sharing outdated information on the subject, let me direct you to papers that will help you better. For the status on the search (detection) of dark...

Incorporating dark matter and dark energy, is a way of saying our models are (were) wrong. However, save for the common adjective, dark energy and dark matter have opposite roles. Dark energy is as dark as black body is black: not at all. Dark energy is a vacuum residual energy density. This...

All you write is correct, but I don't see how much farther you can go without knowing the exact form of the potential.

You need to be given a V(phi) to be able to go further. Often V(phi) = lambda phi^4 is chosen. Your approach is correct, but you need more information to get an explicit answer.

I think you already know the answer. Causality requires only one time dimension. How the universe "would" look like if there were n spatial dimensions is incorrect. You mean how the universe looks like with n dimensions. The universe already has more than 4 dimensions according to string theory...

The Digamma function is defined as ##\psi(z) = \frac{\Gamma'(z)}{\Gamma(z)}## and has many expressions as sums, one of which is ##\psi(z+1) = -\gamma + \sum \frac{z}{n(n + z)}## Replace z by -1/k you get ##\psi(1-\frac{1}{k}) = - \gamma + \sum -\frac{\frac{1}{k}}{n(n-\frac{1}{k})}##...