Difference between revisions of "Information Symmetry"

From MgmtWiki
Jump to: navigation, search
(Context)
Line 6: Line 6:
 
Unitarity is a key concept in Quantum Mechanics and Quantum Field Theory.
 
Unitarity is a key concept in Quantum Mechanics and Quantum Field Theory.
  
quantum-mechanicsquantum-field-theoryquantum-informationnoethers-theoremunitarity
+
Entropy. It's not a symmetry, but there's the second law of thermodynamics. I am not talking about entropy, which is the unknown information about some system, for a particular observer. I talk about information. –  
Share
+
 
Cite
+
Are the known information and the loss thereof (entropy) about a system not related by something like "as the entropy increases the information decreases" ...? Could it be that you are right when one talks about a fine grained microscopic description of the system which is reversible and therefore both, information and entropy are conserved (such that it is very interesting to ask for a symmetry corresponding to the conservation of information +1), and Lunge is right when talking about course grained systems that don't conserve entropy and information when not in equilibrium ? –  
Improve this question
+
 
Follow
+
Well, I am maybe wrong, but I think that information is always conserved, but entropy always increases. And I think also, that this applies to microscopic systems as well as to macroscopic systems.
edited Oct 26, 2012 at 9:35
 
Qmechanic's user avatar
 
Qmechanic♦
 
198k4444 gold badges526526 silver badges22172217 bronze badges
 
asked Oct 26, 2012 at 9:29
 
Trimok's user avatar
 
Trimok
 
17.5k2626 silver badges6464 bronze badges
 
Entropy. It's not a symmetry, but there's the second law of thermodynamics.
 
user14407
 
Oct 26, 2012 at 11:23
 
8
 
I am not talking about entropy, which is the unknown information about some system, for a particular observer. I talk about information. –  
 
Trimok
 
Oct 26, 2012 at 11:25
 
2
 
@Trimok Are the known information and the loss thereof (entropy) about a system not related by something like "as the entropy increases the information decreases" ...? Could it be that you are right when one talks about a fine grained microscopic description of the system which is reversible and therefore both, information and entropy are conserved (such that it is very interesting to ask for a symmetry corresponding to the conservation of information +1), and Lunge is right when talking about course grained systems that dont conserve entropy and information when not in equilibrium ? –  
 
Dilaton
 
Oct 26, 2012 at 12:32
 
3
 
Well, I am maybe wrong, but I think that information is always conserved, but entropy always increases. And I think also, that this applies to microscopic systems as well as to macroscopic systems. But I concede that all these questions are very subtle, because you have to decide what is subjective, what is objective, what is the role of the observer, and so on.
 
  
 
==References==
 
==References==

Revision as of 23:08, 5 January 2024

Full Title or Meme

Conservation of information seems to be a deep physical principle. Per Noether's theorm, that must be an underlying symmetry, in some space, which may explain this conservation of information

Context

Unitarity is a key concept in Quantum Mechanics and Quantum Field Theory.

Entropy. It's not a symmetry, but there's the second law of thermodynamics. I am not talking about entropy, which is the unknown information about some system, for a particular observer. I talk about information. –

Are the known information and the loss thereof (entropy) about a system not related by something like "as the entropy increases the information decreases" ...? Could it be that you are right when one talks about a fine grained microscopic description of the system which is reversible and therefore both, information and entropy are conserved (such that it is very interesting to ask for a symmetry corresponding to the conservation of information +1), and Lunge is right when talking about course grained systems that don't conserve entropy and information when not in equilibrium ? –

Well, I am maybe wrong, but I think that information is always conserved, but entropy always increases. And I think also, that this applies to microscopic systems as well as to macroscopic systems.

References