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Jun
18
comment What is quantum mysticism?
What's an example for quantum mysticism with an associated mathematical model that however isn't experimentally testable? And what must be experimentally testable about it? The problem I have with coming up with some is that those theories which are almost trivially false don't fall in that regime, as they are experimentally testable.
Jun
18
comment Why does hot oil explode when pouring water on it?
@babou: You'll hear from my lawyer.
Jun
17
revised Critical Dimension of Bosonic Strings and Regularization of $\sum_{n=1}^\infty n$
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Jun
17
answered Critical Dimension of Bosonic Strings and Regularization of $\sum_{n=1}^\infty n$
May
17
comment Why does maximal entropy imply equilibrium?
Thanks for the updates. I can't really get back into the mindset I had when I asked this question 3 years ago. Maybe when I eventually work though those topics again I can judge better.
May
6
comment Is there a rotational equivalent to newtons laws?
@CuriousOne: You say "not true", but I feel you can bend the meaning of the words in the formulation to make it fit. It might be worth it to point out that there are funky things like the tennis racket theorem. That's why I said we must keep in mind that however we (re-)formulate the statements here, it must correspond to some truths in classical mechanics. The interesting question would be that if we take the stance to take the resulting statements as axioms, how much must we add to get Newton back. PS, Ullah: I'd not trouble myself with Newton too much.
May
6
comment Is there a rotational equivalent to newtons laws?
Everything that's true in classical mechanics derives from the basic formulations of classical mechanics, of course. In your rotation laws, you speak of objects which are no just points. Maybe have a look at Newton–Euler equations and Euler's equations (Wikipedia).
Apr
25
comment About shift operators
I'll answer your question if you tell my if $A^\sigma C\rho^\dagger$ is negative or positive. Protip: Write down the definitions of the three symbols and write down that expression in using the definitions.
Apr
17
comment System of two harmonic oscillators and its quantum partition function
@sandstone: In the sum of the partition function, you deliberately double count two equal energies. If that's what your asking.
Apr
17
answered System of two harmonic oscillators and its quantum partition function
Apr
15
awarded  Popular Question
Apr
14
comment Boltzmann Distribution - Why maximum number of microstates?
@innisfree: I linked to that postulate in the comment you criticized, and it discusses motivations.
Apr
14
comment Boltzmann Distribution - Why maximum number of microstates?
@innisfree: None that I would have fun writing down. We count states and more states for an energy means that energy is more likely. Hence, if we want to cut it down to the macroscopic realization, the extremal one will be the most relevant. Imho the math speaks for itself, but he asked for further intuition regarding where the quest for the maximum comes in.
Apr
14
comment Boltzmann Distribution - Why maximum number of microstates?
You have a bunch of different energy levels (hair colours), and for each level $E$, there are a number of states (girls) with that energy. The premise is that if you have to guess which energy is most realistic, you should choose the one with the most representatives. (Then, for the derivation of the Boltzmann distribution, you want to observe that probability for joint systems is multiplicative in $\mathbb R$, the energy fraction $E/T$ is additive in $\mathbb R$, and $\exp$ is the homomorphism from $\cdot$ to $+$.)
Apr
14
comment Boltzmann Distribution - Why maximum number of microstates?
Most of the girls in Sweden are blond. You make up a story to your friend of how you made out with a beautiful Swedish girl. What hair colour should you tell him the girl had, if you want to make it realistic?
Apr
9
revised Physical intuition/interpretation of fractional derivatives/integrals?
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Apr
9
revised Physical intuition/interpretation of fractional derivatives/integrals?
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Apr
9
revised Physical intuition/interpretation of fractional derivatives/integrals?
added 797 characters in body
Apr
9
revised Physical intuition/interpretation of fractional derivatives/integrals?
added 797 characters in body
Apr
9
answered Physical intuition/interpretation of fractional derivatives/integrals?