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Recently I've been trying to learn General and Special Relativity by myself. There is an specific thing I do not understand perfectly, proper time in the metric of the space-time.
Take the case of an empty space-time:
$$-c^2 \mathrm d \tau^2 = -c^2 \mathrm d t^2 + \mathrm d x^2 + \mathrm d y^2 +...
I haven't taken any classes in Statistical Mechanics, but in studying Structure of Matter I found some ideas I'm not very familiar with, related with the average value of energy ($E$). Given a $p(E)$ probability density, the average energy is:
\begin{equation}
\langle E\rangle=\frac{\int\limits_0...
The idea of changing the frame of reference is that you want to switch to the point of view of an object that is located at a well-defined position and moving with a well-defined velocity relative to you. However, quantum mechanics says that no object, including humans observers, can have a well-...
