Recent content by learypost

So the mathematical statement of the Einstein-Hilbert action is : I= \int_{V} dV (-g)^{1/2}R (which as I understand is equivalent to the Einstein Field Equation), but what about the mathematical statements of the other two principles?

What are the equations from which all of GR can be derived? Obviously one of the equations is Einstein's Field Equation: G^{\alpha\beta}=8\pi T^{\alpha\beta}. I would also guess that you would need the Euler-Lagrange Equations: -\frac{d}{d\sigma}(\frac{\partial L}{\partial...

But Newton's Laws aren't valid. You have to use relativity, that's why I suggested Einstein's Equations.

I may be wrong, but if you assume all electric and magnetic fields are the results of charged particles and there motions, doesn't all of E&M really just boil down to Coulomb's Law? If you had an arbitrary arrangement of charged particles, I would think that Coulomb's Law and Newton's Laws would...

As kind of a follow up, what would be the most fundamental constants? For example, c, μo, and εo would not all be include since anyone can be derived from the other two.

What would be the most fundamental equations in physics? For example, I know that all of electrodynamics can be obtained from Maxwell's Equations; therefore, Maxwell's Equations would be a complete set of the most fundamental equations of EM. However, something like PV=nRT can be derived from...

I have read that you can make a very simple AM transmitter using only a crystal oscillator like the one described here: http://www.sciencebuddies.org/science-fair-projects/project_ideas/Elec_p024.shtml" I also read that you can make the equivalent of a crystal oscillator using a simple RLC...