"Constants and units in physics"의 두 판 사이의 차이

수학노트
둘러보기로 가기 검색하러 가기
 
(사용자 2명의 중간 판 19개는 보이지 않습니다)
1번째 줄: 1번째 줄:
3 basic units
+
==introduction==
 +
* units form a Lauren ring !
 +
* 3 basic units
 +
** length
 +
** time
 +
** mass
 +
* Planck constant
 +
* speed of light
 +
* fine structure constant
 +
* units
 +
* natural units
 +
* rest energy of the proton is roughly 1 GeV
 +
* <math>10^9 eV = 1 GeV </math>
  
length
 
  
time
+
==important figures==
 +
* Stoney
 +
* Planck
 +
* Dirac, Large number hypothesis
  
mass
 
  
 
+
  
 
+
==constants of standard model==
  
Planck constant
+
masses of electron, muon, and tau leptons (3)
  
speed of light
+
masses of six quarks: up, down, strange, charm, top, bottom (6)
  
fine structure constant
+
mixing matrix of the down-type quarks, which is parameterized by four independent angles. To find out more, look up "CKM Matrix" or "Cabibbo-Kobayashi-Maskawa Mixing Matrix" (4)
  
 
+
The strong coupling constant alpha_s (1)
  
 
+
The fine structure constant alpha_em (1)
  
units
+
The Fermi constant G_F (governs weak decay rates) (1)
  
 
+
The Z boson mass M_Z (1)
  
natural units
+
The Higgs boson mass (1) (the W mass can be calculated from the other parameters and the theory)
  
rest energy of the proton is roughly 1 GeV
+
Gravity has a strength parameterized by G_N, Newton’s gravitational constant (1).
  
<math>10^9 eV = 1 GeV </math>
+
That’s 19. Two constants, the speed of light and Planck’s constant, define our units of length and time and energy.
  
 
+
The neutrino masses are another 3, and they have a mixing matrix just like the down-type quarks for another four parameters, for a total of 28.  
 
 
<h5>constants of standard model</h5>
 
 
 
masses of electron, muon, and tau leptons (3) 
 
 
 
masses of six quarks: up, down, strange, charm, top, bottom (6) 
 
 
 
mixing matrix of the down-type quarks, which is parameterized by four independent angles. To find out more, look up "CKM Matrix" or "Cabibbo-Kobayashi-Maskawa Mixing Matrix" (4) 
 
 
 
The strong coupling constant alpha_s (1) 
 
 
 
The fine structure constant alpha_em (1) 
 
 
 
The Fermi constant G_F (governs weak decay rates) (1) 
 
 
 
The Z boson mass M_Z (1) 
 
 
 
The Higgs boson mass (1) (the W mass can be calculated from the other parameters and the theory) 
 
 
 
Gravity has a strength parameterized by G_N, Newton’s gravitational constant (1). 
 
 
 
That’s 19. Two constants, the speed of light and Planck’s constant, define our units of length and time and energy. 
 
 
 
The neutrino masses are another 3, and they have a mixing matrix just like the down-type quarks for another four parameters, for a total of 28. 
 
  
 
These are the constants of the Standard Model, which is incomplete.
 
These are the constants of the Standard Model, which is incomplete.
  
 
+
  
 
+
  
The Standard Model fails to explain dark matter and dark energy. Dark energy may be parameterizable with just one more constant (Einstein’s famous "cosmological constant") or there may be a much richer set of things to understand about it. 
+
The Standard Model fails to explain dark matter and dark energy. Dark energy may be parameterizable with just one more constant (Einstein’s famous "cosmological constant") or there may be a much richer set of things to understand about it.  
  
Dark matter is also a mystery. My favorite candidate for what it is is supersymmetric partners of ordinary matter. But then all the supersymmetric partners have masses and mixings and lots of numbers to describe them, introducing (at one count I can dig up in the Particle Data Group’s review) of 105 new parameters on top of those of the Standard Model. 
+
Dark matter is also a mystery. My favorite candidate for what it is is supersymmetric partners of ordinary matter. But then all the supersymmetric partners have masses and mixings and lots of numbers to describe them, introducing (at one count I can dig up in the Particle Data Group’s review) of 105 new parameters on top of those of the Standard Model.  
  
 
[http://van.physics.illinois.edu/qa/listing.php?id=1249 20 constants of the universe?]
 
[http://van.physics.illinois.edu/qa/listing.php?id=1249 20 constants of the universe?]
71번째 줄: 60번째 줄:
 
[http://van.physics.illinois.edu/qa/listing.php?id=1249 ]
 
[http://van.physics.illinois.edu/qa/listing.php?id=1249 ]
  
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">간단한 소개</h5>
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">하위주제들</h5>
 
 
 
 
 
 
 
 
 
 
 
==== 하위페이지 ====
 
 
* [http://pythagoras0.springnote.com/pages/1964250 0 토픽용템플릿]<br>
 
** [http://pythagoras0.springnote.com/pages/2060652 0 상위주제템플릿]<br>
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">재미있는 사실</h5>
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 단원</h5>
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">많이 나오는 질문</h5>
 
 
*  네이버 지식인<br>
 
** http://kin.search.naver.com/search.naver?where=kin_qna&query=
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 고교수학 또는 대학수학</h5>
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련된 다른 주제들</h5>
 
 
* [[3275485|Particle physics : Quirks and the Standard Models]]<br>
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">표준적인 도서 및 추천도서</h5>
 
 
* [[2009년 books and articles|찾아볼 수학책]]
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://gigapedia.info/1/
 
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">참고할만한 자료</h5>
 
 
* http://www.zentralblatt-math.org/zmath/en/
 
* http://pythagoras0.springnote.com/
 
* http://math.berkeley.edu/~reb/papers/index.html
 
 
* http://ko.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* http://viswiki.com/en/
 
* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
* 다음백과사전 http://enc.daum.net/dic100/search.do?q=
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">이미지 검색</h5>
 
 
* http://commons.wikimedia.org/w/index.php?title=Special%3ASearch&search=
 
 
 
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">동영상</h5>
 
 
* http://www.youtube.com/results?search_type=&search_query=
 
 
 
 
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">관련기사</h5>
 
  
네이버 뉴스 검색 (키워드 수정)
+
==books==
 +
* Johnson, Peter. The Constants of Nature: A Realist Account. Aldershot, Hants., England : Brookfield, Vt: Ashgate Publishing Limited, 1997.
  
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
* http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
 
  
 
+
==related items==
 +
* [[Fine structure constant]]
 +
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">블로그</h5>
 
  
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
+
==expositions==
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
+
* http://arxiv.org/abs/1512.07306
 +
* Solà, Joan. ‘Fundamental Constants in Physics and Their Time Variation’. Modern Physics Letters A 30, no. 22 (20 July 2015): 1502004. doi:10.1142/S0217732315020046.
 +
* Duff, M. J. “How Fundamental Are Fundamental Constants?” arXiv:1412.2040 [hep-Th, Physics:physics], December 5, 2014. http://arxiv.org/abs/1412.2040.
 +
* Chiba, Takeshi. “The Constancy of the Constants of Nature: Updates.” Progress of Theoretical Physics 126, no. 6 (December 1, 2011): 993–1019. doi:10.1143/PTP.126.993.
 +
* Cowen, Ron. “Changing One of Nature’s Constants.” U.S. News & World Report, September 2010. http://search.proquest.com.ezproxy.library.uq.edu.au/docview/807402325?pq-origsite=summon.
 +
* Okun, L. B. “Fundamental Constants of Nature.” arXiv:hep-ph/9612249, December 4, 1996. http://arxiv.org/abs/hep-ph/9612249.
 +
* Fritzsch, H. “The Constants of Nature.” Metrologia 22, no. 3 (January 1, 1986): 134. doi:10.1088/0026-1394/22/3/003.
  
 
+
  
 
+
[[particle physics and the Standard model]]
 +
[[분류:개인노트]]
 +
[[분류:physics]]
 +
[[분류:math and physics]]
  
 
+
== articles ==
  
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">TeX 작업</h5>
+
* Hao Wei, Xiao-Bo Zou, Hong-Yu Li, Dong-Ze Xue, Cosmological Constant, Fine Structure Constant and Beyond, arXiv:1605.04571 [gr-qc], May 15 2016, http://arxiv.org/abs/1605.04571
 +
[[분류:migrate]]

2020년 12월 28일 (월) 04:03 기준 최신판

introduction

  • units form a Lauren ring !
  • 3 basic units
    • length
    • time
    • mass
  • Planck constant
  • speed of light
  • fine structure constant
  • units
  • natural units
  • rest energy of the proton is roughly 1 GeV
  • \(10^9 eV = 1 GeV \)


important figures

  • Stoney
  • Planck
  • Dirac, Large number hypothesis



constants of standard model

masses of electron, muon, and tau leptons (3)

masses of six quarks: up, down, strange, charm, top, bottom (6)

mixing matrix of the down-type quarks, which is parameterized by four independent angles. To find out more, look up "CKM Matrix" or "Cabibbo-Kobayashi-Maskawa Mixing Matrix" (4)

The strong coupling constant alpha_s (1)

The fine structure constant alpha_em (1)

The Fermi constant G_F (governs weak decay rates) (1)

The Z boson mass M_Z (1)

The Higgs boson mass (1) (the W mass can be calculated from the other parameters and the theory)

Gravity has a strength parameterized by G_N, Newton’s gravitational constant (1).

That’s 19. Two constants, the speed of light and Planck’s constant, define our units of length and time and energy.

The neutrino masses are another 3, and they have a mixing matrix just like the down-type quarks for another four parameters, for a total of 28.

These are the constants of the Standard Model, which is incomplete.



The Standard Model fails to explain dark matter and dark energy. Dark energy may be parameterizable with just one more constant (Einstein’s famous "cosmological constant") or there may be a much richer set of things to understand about it.

Dark matter is also a mystery. My favorite candidate for what it is is supersymmetric partners of ordinary matter. But then all the supersymmetric partners have masses and mixings and lots of numbers to describe them, introducing (at one count I can dig up in the Particle Data Group’s review) of 105 new parameters on top of those of the Standard Model.

20 constants of the universe?

[1]


books

  • Johnson, Peter. The Constants of Nature: A Realist Account. Aldershot, Hants., England : Brookfield, Vt: Ashgate Publishing Limited, 1997.


related items


expositions

  • http://arxiv.org/abs/1512.07306
  • Solà, Joan. ‘Fundamental Constants in Physics and Their Time Variation’. Modern Physics Letters A 30, no. 22 (20 July 2015): 1502004. doi:10.1142/S0217732315020046.
  • Duff, M. J. “How Fundamental Are Fundamental Constants?” arXiv:1412.2040 [hep-Th, Physics:physics], December 5, 2014. http://arxiv.org/abs/1412.2040.
  • Chiba, Takeshi. “The Constancy of the Constants of Nature: Updates.” Progress of Theoretical Physics 126, no. 6 (December 1, 2011): 993–1019. doi:10.1143/PTP.126.993.
  • Cowen, Ron. “Changing One of Nature’s Constants.” U.S. News & World Report, September 2010. http://search.proquest.com.ezproxy.library.uq.edu.au/docview/807402325?pq-origsite=summon.
  • Okun, L. B. “Fundamental Constants of Nature.” arXiv:hep-ph/9612249, December 4, 1996. http://arxiv.org/abs/hep-ph/9612249.
  • Fritzsch, H. “The Constants of Nature.” Metrologia 22, no. 3 (January 1, 1986): 134. doi:10.1088/0026-1394/22/3/003.


particle physics and the Standard model

articles

  • Hao Wei, Xiao-Bo Zou, Hong-Yu Li, Dong-Ze Xue, Cosmological Constant, Fine Structure Constant and Beyond, arXiv:1605.04571 [gr-qc], May 15 2016, http://arxiv.org/abs/1605.04571