which is still S = -tr(rho ln rho) where rho is the density matrix. and the resulting entropies are positive so to that tells you that it is still proportional to the log of probability of states
I know I am not... that's why I carefully said proportional to, to save myself from more complicated, but unnecessary mathematics for a sufficient argument. I posted the paper above.
and here's a paper: http://www.nature.com/nature/journal/v483/n7388/full/nature10872.html
"Experimental verification of Landauer’s principle linking information and thermodynamics"
Antoine Bérut, Artak Arakelyan, Artyom Petrosyan, Sergio Ciliberto, Raoul Dillenschneider & Eric Lutz
here,
Landauer's principle: dQ ≥ kTln2
S (for irreversible) is proportional to dQ/T
ln(x) = ln(2)logbase2(x)
and S(x) is also proportional to the natural log of the number of states or degrees of freedom
and U(x) = uncertainty, or bits still needed to describe system = logbase(number of...
Thanks for the welcome. Sorry I didn't know the rule but that's not an excuse either.
What about BICEP2's recent discovery? Doesn't that offer a bit of support? Or the mathematical properties of eigenvalues? And that many-worlds requires less assumptions than Copenhagen? Not to mention many...
Here is my theory:
- The measurement of an observable by an observer is a thermodynamically irreversible process. All thermodynamically irreversible processes increase total system entropy.
- Landauer's principle (which was experimentally shown in 2012) says that the minimum amount of energy...