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		<title>Ordered dithering</title>
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		<updated>2014-02-18T12:56:31Z</updated>

		<summary type="html">&lt;p&gt;193.55.51.2: Undid revision 596021073 by 193.55.51.2 (talk)&lt;/p&gt;
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		<author><name>193.55.108.5</name></author>
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		<id>https://en.formulasearchengine.com/w/index.php?title=Concurrent_constraint_logic_programming&amp;diff=13263</id>
		<title>Concurrent constraint logic programming</title>
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		<updated>2013-06-03T16:11:29Z</updated>

		<summary type="html">&lt;p&gt;193.55.176.1: /* Description */  type &amp;#039;and equated&amp;#039;--&amp;gt;&amp;#039;are equated&amp;#039;.&lt;/p&gt;
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&lt;div&gt;{{quantum}}&lt;br /&gt;
The &#039;&#039;&#039;Calogero conjecture&#039;&#039;&#039;&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot;&amp;gt;Gaeta, Giuseppe. (2000). &amp;quot;On the cosmological implications of the Calogero conjecture&amp;quot; Retrieved on 26 August 2007 from [http://citeseer.ist.psu.edu/rd/14277273,431116,1,0.25,Download/http://citeseer.ist.psu.edu/cache/papers/cs/21700/http:zSzzSzwww.ma.utexas.eduzSzmp_arczSzczSz00zSz00-282.pdf/on-the-cosmological-implications.pdf XiteSeer] University of Rome &#039;&#039;La Sapienza&#039;&#039;&amp;lt;/ref&amp;gt;  is a [[minority interpretations of quantum mechanics|minority interpretation of quantum mechanics]]. It is a [[Quantization (physics)|quantization]] explanation involving [[quantum mechanics]], originally stipulated in 1997 and further republished in 2004&amp;lt;ref&amp;gt;Calogero, Francesco. (1997) &amp;quot;&#039;&#039;Cosmic origin of quantization&#039;&#039;&amp;quot; Retrieved on 26 August 2007 from [http://www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;_udi=B6TVM-3SPGX50-4T&amp;amp;_user=10&amp;amp;_coverDate=04%2F21%2F1997&amp;amp;_rdoc=1&amp;amp;_fmt=&amp;amp;_orig=search&amp;amp;_sort=d&amp;amp;view=c&amp;amp;_acct=C000050221&amp;amp;_version=1&amp;amp;_urlVersion=0&amp;amp;_userid=10&amp;amp;md5=1c7a86700cc7dbbcc4169f55d687d309 ScienceDirect] Physics Letters A, Volume 228 p335-346&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;calo_2004&amp;quot;&amp;gt;Calogero, Francesco. (2004) &amp;quot;&#039;&#039;Cosmic origin of quantization&#039;&#039;&amp;quot; Retrieved on 26 August 2007 from [http://www.worldscinet.com/ijmpb/18/1804n05/S0217979204024136.html WorldSciNet]. [[International Journal of Modern Physics B]], Vol. 18, Nos. 4-5 (2004) 519-525.&amp;lt;/ref&amp;gt; by [[Francesco Calogero]] that suggests the classical stochastic background field to which [[Edward Nelson]] attributes quantum mechanical behavior in his theory of [[stochastic quantization]] is a fluctuating space-time, and that there are further mathematical relations between the involved quantities.&lt;br /&gt;
&lt;br /&gt;
The hypothesis itself suggests that if the [[angular momentum]] associated with a stochastic tremor&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt; with [[Coherence (physics)#Spatial coherence|spatial coherence]] provides an action purported by that motion within the order of magnitude of [[Max Planck|Planck]]&#039;s [[Planck constant|constant]]&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt; then the order of magnitude of the associated angular momentum has the same value.&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt; Calogero himself suggests&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt; that these findings, originally based on the simplified model of the universe&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt; &amp;quot;are affected (and essentially, unaffected) by the possible presence in the mass of the Universe of a large component made up of particles much lighter than nucleons&amp;quot;.&amp;lt;ref name=&amp;quot;calo_2004&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Essentially, the relation explained by Calogero can be expressed with the formulas:&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;h \approx \alpha G^{1/2} m^{3/2} [R(t)]^{1/2}.&amp;lt;/math&amp;gt;&lt;br /&gt;
Furthermore:&lt;br /&gt;
:&amp;lt;math&amp;gt;h \equiv h(t) = A \sqrt{R(t)} = h_0 \sqrt{a(t)}&amp;lt;/math&amp;gt; Const G,m&lt;br /&gt;
Where:&lt;br /&gt;
:&amp;lt;math&amp;gt;G&amp;lt;/math&amp;gt; represents the [[gravitational constant]]&lt;br /&gt;
:&amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt; represents the mass of a hydrogen atom.&lt;br /&gt;
:&amp;lt;math&amp;gt;R(t)&amp;lt;/math&amp;gt; represents the radius of the universe accessible by gravitational interactions in time, t.&lt;br /&gt;
:&amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; is a dimensional constant.&lt;br /&gt;
&lt;br /&gt;
Despite its common description, it has been noted that the conjecture is not entirely defined within the realms of Nelson&#039;s stochastic mechanics, but can also be thought of as a means of inquiring into the statistical effects of interaction with distant masses in the universe and was expected by Calogero himself&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt; to be within the same order of magnitude as quantum mechanical effects.&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== Compatibility with fundamental constants ===&lt;br /&gt;
&amp;lt;!-- A note to the foolish denouement of human consciousness, vis-a-vis notability, that there is a very limited amount of literature on this conjecture, and this definitive paper is the only one available which analyzes it in such a way. --&amp;gt;&lt;br /&gt;
After the publication of Calogero&#039;s original paper, &amp;quot;[The] [c]osmic origin of quantization&amp;quot; a response was published by Giuseppe Gaeta of the [[University of Rome La Sapienza|University of Rome]]&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt; in which he discussed the compatibility of the conjecture with present bounds on variation of fundamental constants, but also outlined his focus on the modification of the relation between [[redshift]] and distance,&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt; and of the estimations attained from observations of elapsed time from the production of cosmic radiation and implications&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt;—both being related also, to the observed [[Black body|blackbody distribution]] of background cosmic radiation.&amp;lt;ref name=&amp;quot;gaeta_1&amp;quot; /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&lt;br /&gt;
=== Notes ===&lt;br /&gt;
{{reflist|2}}&lt;br /&gt;
&lt;br /&gt;
=== Journals ===&lt;br /&gt;
* F. Calogero, &amp;quot;&#039;&#039;Cosmic origin of quantization&#039;&#039;&amp;quot;, Phys. Lett. A 228 (1997), 335-346. [http://www.sciencedirect.com/science?_ob=ArticleURL&amp;amp;_udi=B6TVM-3SPGX50-4T&amp;amp;_user=10&amp;amp;_coverDate=04%2F21%2F1997&amp;amp;_rdoc=1&amp;amp;_fmt=&amp;amp;_orig=search&amp;amp;_sort=d&amp;amp;view=c&amp;amp;_acct=C000050221&amp;amp;_version=1&amp;amp;_urlVersion=0&amp;amp;_userid=10&amp;amp;md5=1c7a86700cc7dbbcc4169f55d687d309]&lt;br /&gt;
* G. Gaeta &amp;quot;&#039;&#039;Calogero Conjecture and Hubble Law&#039;&#039;&amp;quot;, International Journal of Theoretical Physics, Vol 39 (5), May 2000, pp.&amp;amp;nbsp;1339–1350(12) [http://www.ingentaconnect.com/content/klu/ijtp/2000/00000039/00000005/00224257;jsessionid=1k7xkfasad208.alice?format=bib]&lt;br /&gt;
* G. Gaeta &amp;quot;&#039;&#039;On the cosmological implications of the Calogero conjecture&#039;&#039;&amp;quot;  [http://citeseer.ist.psu.edu/431116.html]&lt;br /&gt;
&lt;br /&gt;
[[Category:Quantum mechanics]]&lt;br /&gt;
[[Category:Conjectures]]&lt;/div&gt;</summary>
		<author><name>193.55.176.1</name></author>
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		<updated>2012-06-13T08:39:36Z</updated>

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