I have the following question. In physics, when one talks about (Yang-Mills) gauge theories, one often states that it is enough to specify the following data: The gauge group $G$, which is usually a compact Lie group. The field, their potentails as well as the representation under which the fiel...

Until today I used to understand and explain anyone the concept of inertia in the following way, but I found a loophole in that explanation. Explanation : Imagine we take a body in space where there is no resistance from the air or any solid surface. Initially, that body is at rest. I apply a for...