Jul 18, 2020 05:19 PM
(This post was last modified: Jul 18, 2020 05:41 PM by C C.)
How Gödel's incompleteness theorems work
https://www.quantamagazine.org/how-godel...-20200714/
INTRO: His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
How to better define information in physics
www.physicsforums.com/insights/how-to-better-define-information-in-physics/
SUMMARY: In physics, the word information is closely related to microstates and probabilities. In some limited circumstances information is equal to entropy, but in most cases not. Information should never be confused with knowledge despite what natural language and the dictionary say. And never ever confused with the knowledge of intelligent beings. Despite our inability to quantify information, conservation of information seems firmly established in many contexts. Limits to information density also appear to be well founded, again despite our inability to quantify it. Information in physics has tantalizing parallels with Shannon Information Theory in communications and computer software, but it is not identical.
On PF, we frequently remind members that energy does not exist by itself in empty space; energy is a property of fields and particles. Should we say the same thing about information, that it is a property of fields and particles? Some people invert that view and speculate that information is the building block of which fields and particles and even reality is built. A third view is that there is no such thing as information as a physical quantity, it is just a lingual artifact of our way of speaking. This article brings no clarity to those questions. All we have is hand waving. I blame that on less than useful definitions. (MORE - details)
What is physical information?
https://www.youtube-nocookie.com/embed/or8Rktj_HA4
https://www.quantamagazine.org/how-godel...-20200714/
INTRO: His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.
How to better define information in physics
www.physicsforums.com/insights/how-to-better-define-information-in-physics/
SUMMARY: In physics, the word information is closely related to microstates and probabilities. In some limited circumstances information is equal to entropy, but in most cases not. Information should never be confused with knowledge despite what natural language and the dictionary say. And never ever confused with the knowledge of intelligent beings. Despite our inability to quantify information, conservation of information seems firmly established in many contexts. Limits to information density also appear to be well founded, again despite our inability to quantify it. Information in physics has tantalizing parallels with Shannon Information Theory in communications and computer software, but it is not identical.
On PF, we frequently remind members that energy does not exist by itself in empty space; energy is a property of fields and particles. Should we say the same thing about information, that it is a property of fields and particles? Some people invert that view and speculate that information is the building block of which fields and particles and even reality is built. A third view is that there is no such thing as information as a physical quantity, it is just a lingual artifact of our way of speaking. This article brings no clarity to those questions. All we have is hand waving. I blame that on less than useful definitions. (MORE - details)
What is physical information?