<table><tr><th>From:</th><th>jeffrey E. &lt;jeevacation@gmail.com&gt;</th></tr><tr><td>Sent:
To:</td><td>Monday, July 6, 2015 9:13 AM
Misha Gromov</td></tr><tr><td>Subject:</td><td>I m around until wed if you want to talk more about sense making</td></tr></table>

Your question about entropy is an impo=tant one. The second law of thermodynamics tells us that =ystems go to states of high entropy where events are random and uncorrelat=d, so that thermal fluctuations appear to be statistically indep=ndent. However, if you look under the hood of the second =aw, you find that what is really going on is that the dynamics t=at leads you to this high entropy state is actually generating huge amount= of correlations between the different parts of the system. =AO In fact, the apparently random and independent f=uctuations of the parts reflect large correlations with the other parts of=the system. But these correlations are effectively smeare= out over the whole system: to reveal the fact that they are not=truly independent, one would have to make measurements on all the parts to=ether, and tease out the extensive but subtle correlations betwe=n them.

For example, even though the=apparent high entropy of a gas of molecules reflects all the cor=elations that are generated by the collisions of molecules over time, if o=e looks at just two molecules in the gas, their motions will be =tatistically independent to a high degree of accuracy.

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