Recent content by Matterwave

I always find it hard to follow discussion and arguments related to Mach due to the vagueness with which "Mach's principle" is stated. In particular, I think "absolute" vs "relative" in these contexts are often used as a false dichotomy. Very roughly speaking, GR seems to sit at some...

I'm not sure if this answers your question, but I had some more thoughts. When we discuss the "fundamental physics" like Classical Mechanics and Quantum Mechanics we often imagine we can model "everything that matters to this problem" as being described by a particular (micro) state at one...

😂 Is this conversation pushing you towards Solipsism? But I suspect (though I can not prove) the problem is definitional. It seems different people attribute different qualities to be part of the definition of "consciousness".

Thermodynamics might have indeed been a red herring. It seems your curiosity is more about "micro" vs "macro" descriptions or microphysical/dynamical vs phenomenological descriptions. Something along those lines? Given where you've pivoted with your question, I wonder if Hysteresis is your...

Are you asking about the domain of validity of thermodynamics? I still have a hard time parsing your question into a concrete one.

Yep!

What? What is your source for this claim?

$$\sum_{\sigma m} a_\sigma(\vec{k})\vec{\epsilon}_\sigma(\vec{k})\times [(-\vec{k})\times a_m(-\vec{k})\vec{\epsilon}_m(-\vec{k})]$$ Perform BAC-CAB and use ##\vec{\epsilon}(\vec{k})\cdot\vec{k}=0## to get: $$(-\vec k)\sum_{\sigma m} a_\sigma(\vec k)a_m(-\vec k)\big(\vec\epsilon_\sigma(\vec...

Got it. Then you might be interested in MuZero where they also added Atari games to the mix. :)

Yes, the rule to get the delta function doesn't work when the arguments are of opposite sign. You do have to be a bit more sophisticated in your argument that "the resulting terms are odd" in the case you don't get the delta function since you can't collapse the sum to a single term. You have...

Sure, they wanted to show one system that excelled at multiple games. Were you referring to specifically AlphaZero in your question?

Sorry! I forget about explaining lingo sometimes. APM = Actions per Minute.

This is no problem for computers since Game Theory Optimal strategies (which can be stochastic, depending on the game) will beat any other strategy in the long term. This is the case for Poker (which was given as an example). A computer system could be given access to a (high quality) RNG to...

It's a two stone handicap because the AI doesn't get komi (it got 0.5 just to break ties). A 6.5-7.5 komi is typically added to white's score to accommodate Black's first move advantage. A one stone handicap is if Shin Jinseo simply plays black with no komi. You might be referring to AlphaStar...

Check eqn 5.79 again. Note that now you have ##\epsilon_m(-\vec{k})## you can't apply the rule to get ##\delta_{\sigma m}## anymore. But the gist of what you're saying is right. You will use symmetry properties to collapse everything down to that one integral and one sum in 5.88.