Re: The physical limits of computation

2024-01-19 Thread 'scerir' via Everything List
Interesting quote about all that (and information)

Frank Wilczek: "Information is another dimensionless quantity that plays a 
large and increasing role in our description of the world. Many of the terms 
that arise naturally in discussions of information have a distinctly physical 
character. For example we commonly speak of density of information and flow of 
information. Going deeper, we find far-reaching analogies between information 
and (negative) entropy, as noted already in Shannon's original work. Nowadays 
many discussions of the microphysical origin of entropy, and of foundations of 
statistical mechanics in general, start from discussions of information and 
ignorance. I think it is fair to say that there has been a unification fusing 
the physical quantity (negative) entropy and the conceptual quantity 
information. A strong formal connection between entropy and action arises 
through the Euclidean, imaginary-time path integral formulation of partition 
functions. Indeed, in that framework the expectation value of the Euclideanized 
action essentially is the entropy. The identification of entropy with 
Euclideanized action has been used, among other things, to motivate an 
algebraically simple (but deeply mysterious "derivation" of black hole entropy. 
If one could motivate the imaginary-time path integral directly and 
insightfully, rather than indirectly through the apparatus of energy 
eigenvalues, Boltzmann factors, and so forth, then one would have progressed 
toward this general prediction of unification: Fundamental action principles, 
and thus the laws of physics, will be re-interpreted as statements about 
information and its transformations." http://arxiv.org/pdf/1503.07735v1.pdf 
https://l.facebook.com/l.php?u=http%3A%2F%2Farxiv.org%2Fpdf%2F1503.07735v1.pdf=6AQGH8JQz
 

> Il 20/01/2024 01:10 +01 Jason Resch  ha scritto:
>  
>  
> I put together a short write up on the relationship between physics, 
> information, and computation, drawing heavily from the work of Seth Lloyd and 
> others:
>  
> https://drive.google.com/file/d/124q3ni51E3sf9kMC_sNKgP3ikcl8ou1t/view?usp=sharing
>  
> I thought it might be interesting to members of this list who often debate 
> whether our reality is fundamentally computational/informational.
>  
> Jason 
> 
>  
> 
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The physical limits of computation

2024-01-19 Thread Jason Resch
I put together a short write up on the relationship between physics,
information, and computation, drawing heavily from the work of Seth Lloyd
and others:

https://drive.google.com/file/d/124q3ni51E3sf9kMC_sNKgP3ikcl8ou1t/view?usp=sharing

I thought it might be interesting to members of this list who often debate
whether our reality is fundamentally computational/informational.

Jason

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