{"id":1580,"date":"2014-11-16T14:45:53","date_gmt":"2014-11-16T19:45:53","guid":{"rendered":"http:\/\/www.billtoole.net\/wordpress\/?p=1580"},"modified":"2014-11-16T19:01:26","modified_gmt":"2014-11-17T00:01:26","slug":"1580","status":"publish","type":"post","link":"https:\/\/www.billtoole.net\/wordpress\/all\/1580\/","title":{"rendered":"dimensionless constants"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n
Parameter<\/td>\nMeaning<\/td>\nMeasured Value<\/td>\n<\/tr>\n
g
\n\u03b8W<\/sub>
\ngs<\/sub><\/td>\n		Weak coupling constant at mZ<\/sub>
\nWeinberg angle
\nStrong coupling constant at mZ<\/sub><\/td>\n		0.6520 \u00b1 0.0001
\n0.48290 \u00b1 0.00005
\n1.221 \u00b1 0.022<\/td>\n<\/tr>\n
\u03bc2<\/sup>
\n\u03bb<\/td>\n		Quadratic Higgs coefficient
\nQuartic Higgs coefficient<\/td>\n		~\u00a0\u221210\u221233<\/sup>
\n~\u00a01 ?<\/td>\n<\/tr>\n
Ge<\/sub>
\nG\u03bc<\/sub>
\nG\u03c4<\/sub><\/td>\n		Electron Yukawa coupling
\nMuon Yukawa coupling
\nTauon Yukawa coupling<\/td>\n		2.94 \u00d7 10\u22126<\/sup>
\n0.000607
\n0.0102156233<\/td>\n<\/tr>\n
Gu<\/sub>
\nGd<\/sub>
\nGc<\/sub>
\nGs<\/sub>
\nGt<\/sub>
\nGb<\/sub><\/td>\n		Up quark Yukawa coupling
\nDown quark Yukawa coupling
\nCharm quark Yukawa coupling
\nStrange quark Yukawa coupling
\nTop quark Yukawa coupling
\nBottom quark Yukawa coupling<\/td>\n		0.000016 \u00b1 0.000007
\n0.00003 \u00b1 0.00002
\n0.0072 \u00b1 0.0006
\n0.0006 \u00b1 0.0002
\n1.002 \u00b1 0.029
\n0.026 \u00b1 0.003<\/td>\n<\/tr>\n
sin \u03b812<\/sub>
\nsin \u03b823<\/sub>
\nsin \u03b813<\/sub>
\n\u03b413<\/sub><\/td>\n		Quark CKM matrix angle
\nQuark CKM matrix angle
\nQuark CKM matrix angle
\nQuark CKM matrix phase<\/td>\n		0.2243 \u00b1 0.0016
\n0.0413 \u00b1 0.0015
\n0.0037 \u00b1 0.0005
\n1.05 \u00b1 0.24<\/td>\n<\/tr>\n
\u00a0\u03b8qcd<\/sub><\/td>\nCP – violating QCD vacuum phase<\/td>\n\u00a0< 10\u22129<\/sup><\/td>\n<\/tr>\n
G\u03bde<\/sub>
\nG\u03bd\u03bc<\/sub>
\nG\u03bd\u03c4<\/sub><\/td>\n		Electron neutrino Yukawa coupling
\nMuon neutrino Yukawa coupling
\nTau neutrino Yukawa coupling<\/td>\n		< 1.7 \u00d7 10\u221211<\/sup>
\n< 1.1 \u00d7 10\u22126<\/sup>
\n< 0.10<\/td>\n<\/tr>\n
sin \u03b8\u203212<\/sub>
\nsin 2\u03b8\u203223<\/sub>
\nsin \u03b8\u203213<\/sub>
\n\u03b4\u203213<\/sub><\/td>\n		Neutrino MNS matrix angle
\nNeutrino MNS matrix angle
\nNeutrino MNS matrix angle
\nNeutrino MNS matrix phase<\/td>\n		0.55 \u00b1 0.06
\n\u2265 0.94
\n\u2264 0.22
\n?<\/td>\n<\/tr>\n
\u03c1\u039b<\/sub>
\n\u03beb<\/sub>
\n\u03bec<\/sub>
\n\u03be\u03bd<\/sub>
\nQ
\nns<\/sub><\/td>\n		Dark energy density
\nBaryon mass per photon \u03c1b<\/sub> \/ n\u03b3<\/sub>
\nCold dark matter mass per photon \u03c1c<\/sub> \/ n\u03b3<\/sub>
\nNeutrino mass per photon \u03c1\u03bd<\/sub> \/ n\u03b3<\/sub>\u00a0 = \u00a03\u204411 \u03a3<\/big> m\u03bdi<\/sub>
\nScalar fluctuation amplitude \u03b4H<\/sub> on horizon
\nScalar spectral index<\/td>\n		(1.25 \u00b1 0.25) \u00d7 10\u2212123<\/sup>
\n(0.50 \u00b1 0.03) \u00d7 10\u221228<\/sup>
\n(2.5 \u00b1 0.2) \u00d7 10\u221228<\/sup>
\n< 0.9 \u00d7 10\u221228<\/sup>
\n(2.0 \u00b1 0.2) \u00d7 10\u22125<\/sup>
\n0.98 \u00b1 0.02<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

from\u00a0Dimensionless constants, cosmology and other dark matters<\/a>\u00a0:\u00a0Max Tegmark, Anthony Aguirre, Martin J. Rees\u00a0& Frank Wilczek<\/p>\n

“Every fundamental\u00a0property of nature ever measured can be computed from the 32 numbers in this table – at least in principle.” Max Tegmark in\u00a0Our Mathematical Universe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Parameter Meaning Measured Value g \u03b8W gs Weak coupling constant at mZ Weinberg angle Strong coupling constant at mZ 0.6520 \u00b1 0.0001 0.48290 \u00b1 0.00005 1.221 \u00b1 0.022 \u03bc2 \u03bb Quadratic Higgs coefficient Quartic Higgs coefficient ~\u00a0\u221210\u221233 ~\u00a01 ? Ge G\u03bc G\u03c4 Electron Yukawa coupling Muon Yukawa coupling Tauon Yukawa coupling 2.94 \u00d7 10\u22126 0.000607 …<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,7,6],"tags":[],"class_list":["post-1580","post","type-post","status-publish","format-standard","hentry","category-all","category-the-beautiful","category-the-true"],"_links":{"self":[{"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/posts\/1580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1580"}],"version-history":[{"count":0,"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/posts\/1580\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.billtoole.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}