Difference between revisions of "Symmetry-breaking"
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Symmetry-breaking has to do with [[information erasure | Symmetry-breaking has to do with [[information erasure]], or making decisions in a [[classical computing]] environment([[entropy]] increase). The [[Maxwell's demon]] ([[MxD]]) can be considered as a symmetry-breaking device. To learn more about [[MxD]], please try to read the book:Theory of Heat<ref>{{:BOOK/Theory of Heat}}</ref> by [[James Maxwell]]. | ||
=MxD as a Symmetry-breaking device= | =MxD as a Symmetry-breaking device= | ||
MxD as a [[universal component]] adheres to the principle of composition, to be followed in the design and implementation of [[PKC]]. MxD is a function with two chambers, each of them can be composed of other MxDs. This also matches the pattern of how Boolean functions can be composed of a <math>\lambda</math> function with two input arguments, where each argument is a space holder for other <math>\lambda</math> functions. This idea can be implemented in JavaScript, and can also be shown using the [[hyperlink]] and [[transclusion]] features of MediaWiki. | MxD as a [[universal component]] adheres to the principle of composition, to be followed in the design and implementation of [[PKC]]. MxD is a function with two chambers, each of them can be composed of other MxDs. This also matches the pattern of how Boolean functions can be composed of a <math>\lambda</math> function with two input arguments, where each argument is a space holder for other <math>\lambda</math> functions. This idea can be implemented in JavaScript, and can also be shown using the [[hyperlink]] and [[transclusion]] features of MediaWiki. | ||
=Computation as a process of symmetry-breaking= | |||
Computing is a process of composing information into named causal relations. Since all kinds of information can be encoded as [[function]]s, and functions are simply ordered data entries, where each entry can be represented as some form of [[function]]s, the process of computation is just a way to decide on some irreducible form of causal structure. When the causal structure gets to its final form, it will be shown as functions in the form of [[lambda calculus]]<ref>{{:Video/Lambda Calculus - Computerphile}}</ref> representing either [[head]] or [[tail]], that semantically represent a form of [[symmetry-breaking]]. | |||
Latest revision as of 01:56, 3 September 2021
Symmetry-breaking has to do with information erasure, or making decisions in a classical computing environment(entropy increase). The Maxwell's demon (MxD) can be considered as a symmetry-breaking device. To learn more about MxD, please try to read the book:Theory of Heat[1] by James Maxwell.
MxD as a Symmetry-breaking device
MxD as a universal component adheres to the principle of composition, to be followed in the design and implementation of PKC. MxD is a function with two chambers, each of them can be composed of other MxDs. This also matches the pattern of how Boolean functions can be composed of a function with two input arguments, where each argument is a space holder for other functions. This idea can be implemented in JavaScript, and can also be shown using the hyperlink and transclusion features of MediaWiki.
Computation as a process of symmetry-breaking
Computing is a process of composing information into named causal relations. Since all kinds of information can be encoded as functions, and functions are simply ordered data entries, where each entry can be represented as some form of functions, the process of computation is just a way to decide on some irreducible form of causal structure. When the causal structure gets to its final form, it will be shown as functions in the form of lambda calculus[2] representing either head or tail, that semantically represent a form of symmetry-breaking.
References
- ↑ Maxwell, James (1871). Theory of Heat (PDF). local page: Longmans, Gree and Co.
- ↑ Graham, Hutton (January 28, 2017). Lambda Calculus - Computerphile. local page: Computerphile.