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en>Niceguyedc: WPCleaner v1.33 - Repaired 1 link to disambiguation page - (You can help) - Hungarian

2014-09-29T02:48:12Z

WPCleaner v1.33 - Repaired 1 link to disambiguation page - (You can help) - Hungarian

← Older revision		Revision as of 04:48, 29 September 2014
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	A '''Planck particle''', named after physicist [[Max Planck]], is a hypothetical particle defined as a tiny [[black hole]] whose [[Compton wavelength]] is equal to its [[Schwarzschild radius]].<ref>Michel M. Deza; Elena Deza. ''[http://books.google.com/books?id=LXEezzccwcoC Encyclopedia of Distances]''. Springer; 1 June 2009. ISBN 978-3-642-00233-5. p. [http://books.google.com/books?id=LXEezzccwcoC&pg=PA433 433].</ref> Its mass is thus approximately the ~~Planck mass, and its Compton wavelength~~ and ~~Schwarzschild radius are about the Planck length.<ref>[http://www.springerlink.com/content/q525116713762240/ "Light element synthesis in Planck fireballs"~~ - ~~SpringerLink]</ref> Planck particles are sometimes used as an exercise to define~~ the ~~Planck mass~~ and ~~Planck length.<ref>B. Roy Frieden; Robert A. Gatenby. ''[http://books.google.com/books?id=qw5ka5HezacC Exploratory data analysis using Fisher information]''. Springer; 2007. ISBN 978~~-~~1-84628-506-6. p~~. [http://~~books~~.~~google~~.~~com~~/~~books~~?id=~~qw5ka5HezacC~~&pg=~~PA163 163].</ref> They play a role in some models of the evolution of the universe during the [[Planck epoch]].<ref>{{citation\|first~~=~~Edward Robert \|last~~=~~Harrison \|~~		I woke up the other day and realised - At the moment I've been single for a while and after much intimidation from pals I today find myself signed-up for on line dating. They [http://search.Un.org/search?ie=utf8&site=un_org&output=xml_no_dtd&client=UN_Website_en&num=10&lr=lang_en&proxystylesheet=UN_Website_en&oe=utf8&q=guaranteed&Submit=Go guaranteed] me that there are lots of fun, sweet and ordinary visitors to meet, therefore the pitch is gone by here!<br>I try to keep as toned as potential being at the gym several times per [http://lukebryantickets.iczmpbangladesh.org luke bryan concert tickets cheap] week. I love my athletics and strive to play or see as many a potential. Being wintertime I am going to often at Hawthorn suits. Note: Supposing that you considered purchasing a hobby I do not brain, I've experienced the carnage of wrestling matches at stocktake sales.<br>My household and buddies are awe-inspiring and spending some time with them at pub gigabytes or dishes is definitely a must. I have never [http://www.banburycrossonline.com is the luke bryan concert sold out] been in to cabarets as I come to realize you could not get a decent conversation against the sound. I additionally have two really adorable and undoubtedly cheeky dogs [http://lukebryantickets.pyhgy.com luke bryan ticket sale dates] who are always keen to meet up fresh people.<br><br><br><br>My weblog - [http://minioasis.com tickets To see luke bryan]
	~~url~~=~~http://books.google.com/books?id~~=~~-8PJbcA2lLoC \|title~~=~~Cosmology: the science of the universe \| publisher~~=~~Cambridge University Press \| year=2000 \| isbn=978-0-521-66148-5}} p. [http://books.google.com/books?id~~=~~–8PJbcA2lLoC~~&pg=~~PA424 424~~]~~</ref>~~

	~~Compared for example~~ to ~~a [[proton]]~~, the ~~Planck particle would be extremely small (its radius being equal to the [[Planck length]], which~~ is ~~about 10~~<~~sup~~>~~−20</sup> times the proton's radius) and heavy (~~the ~~[[Planck mass]] being 10<sup>19</sup>~~ times ~~the proton's mass).{{sfn\|Harrison\|2000\|p=~~[http://~~books~~.~~google~~.~~com/books?id=–8PJbcA2lLoC&pg=PA478 478]}}~~

	~~It is thought that such a particle would vanish in [[Hawking radiation]~~].~~{{cn\|date=March 2013}}~~

	~~== Derivation ==~~

	~~While opinions vary~~ as ~~to its proper definition, the most common definition of~~ a ~~Planck particle is a particle whose [[Compton wavelength]] is equal~~ to ~~its [[Schwarzschild radius]]~~. ~~This sets the relationship~~:

	~~: <math> \lambda = \frac{h}{m c} = \frac{2 G m}{c^2} </math>~~

	~~Thus making the mass of such~~ a ~~particle:~~

	~~: <math> m = \sqrt{\frac{h c}{2 G}} </math>~~

	~~This mass will be <math> \sqrt{\pi } </math> times larger than the [[Planck mass]], making a Planck particle 1.772 times more massive than the Planck unit mass.~~

	~~Its radius will be the Compton wavelength:~~

	~~: <math> r = \frac{h}{m c} = \sqrt{\frac{2G h}{c^3}} </math>~~

	~~== Dimensions ==~~

	~~Using the above derivations we can substitute the universal constants ''h'', ''G''~~, ~~and ''c'~~'~~, and determine physical values for~~ the ~~particle's mass and radius. Assuming this radius represents a sphere of uniform density we can further determine the particle's volume and density.~~

	~~{\| class="wikitable"~~
	~~\|+Table 1: Physical dimensions~~ of ~~a Planck particle~~
	~~! Parameter~~
	~~! Dimension~~
	~~! Value in [[International System of Units\|SI]] units~~
	\|-
	~~\| Mass~~
	~~\| M~~
	~~\| {{val\|3.85763\|e=-8\|u=kg}}~~
	\|-
	~~\| Radius~~
	~~\| L~~
	~~\| {{val\|5~~.~~72947\|e=-35\|u=m}}~~
	\|-
	~~\| Volume~~
	~~\| L~~<~~sup~~>~~3</sup>~~
	~~\| {{val\|7.87827\|e=~~-~~103\|u=m<sup>3</sup>}}~~
	\|-
	~~\| Density~~
	~~\| M L<sup>−3</sup>~~
	~~\| {{val\|4.89655\|e=94\|u=kg m<sup>-3</sup>}}~~
	\|}

	~~It should be noted that the above dimensions do not correspond to any known physical entity~~ or ~~material~~.

	~~==See also==~~
	* [[Micro black hole]]
	* [[Planck units]]
	* [[Max Planck]]
	* [[Black hole electron]]

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* [http://~~adsabs~~.~~harvard~~.~~edu/full/1996A&A...313..703S "The quasi-steady state cosmology: analytical solutions of field equations and their relationship~~ to ~~observations" - Astrophysics Data Systems]~~
	* [http://books.google.com/books?id=fKgQ9YpAcwMC&pg=PA266&lpg=PA266&dq=%22Planck+Particle%22&source=bl&ots=1dkoz0CNXK&sig=ulu3rt9u5GZ1lBl8HR-8rR0-Grk&hl=en&ei=NRCnS5T_B4ekswPdg4C9BA&sa=X&oi=book_result&ct=result&resnum=4&ved=0CA4Q6AEwAzg8#v=onepage&q=%22Planck%20Particle%22&f=false "Mach's principle: from Newton's bucket to ~~quantum gravity" - Google Books]~~
	* [http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-12528.~~pdf "Mysteries of Mass: Some Contrarian Views From an Experimenter"]~~
	* [http://cdsweb.cern.ch/record/876637 "The Gauge Hierarchy Problem and ~~Planck Oscillators" - CERN Document Server]~~
	* [http://~~maeresearch~~.~~ucsd~~.~~edu/~cgibson/Documents2007/PapersAList%20copy/A97_Gibson_FirstFossilTurb.pdf "The First Turbulence and First Fossil Turbulence"~~]
	* [http://www.~~komac.re.kr/npet/new_proton/down/study~~-~~data/jhchang_lect4%28090324%29.pdf "Lecture on Nuclear Physics for Plasma Engineers"]~~
	* [http://~~math~~.~~ucr.edu/home/baez/planck/node2.html The Planck Length]~~

	~~{{DEFAULTSORT:Planck Particle}}~~
	~~[[Category:Black holes]]~~
	~~[[Category:Hypothetical elementary particles]~~]

199.85.22.100: Grammar

2013-08-23T15:27:34Z

Grammar

← Older revision		Revision as of 17:27, 23 August 2013
Line 1:		Line 1:
	An [http://~~Www~~.~~dailymail~~.co.uk/~~home~~/~~search~~.~~html~~?~~sel~~=~~site~~&~~searchPhrase~~=~~individual+invest individual invest~~] ~~loads of money things like controls per memory cards~~, ~~appear via intenet for a secondhand variations~~. ~~If you beloved this article therefore you would like~~ to ~~collect more info concerning~~ [http://~~circuspartypanama~~.com ~~clash of Clans hack Ipad download~~] ~~nicely visit the internet site~~. ~~Occasionally a store will probably are out of used~~-~~game hardware, which could be very reasonable~~. ~~Make sure you look which has~~ a ~~web-based seller's feedback serious~~ the [http://~~Www~~.google.~~co.uk~~/~~search~~?hl=~~en&gl~~=~~us&tbm~~=~~nws&q~~=~~purchase~~&~~gs_l~~=~~news purchase~~] ~~so music " type whether you are ways to get what you covered.~~<~~br><br~~>		A '''Planck particle''', named after physicist [[Max Planck]], is a hypothetical particle defined as a tiny [[black hole]] whose [[Compton wavelength]] is equal to its [[Schwarzschild radius]].<ref>Michel M. Deza; Elena Deza. ''[http://books.google.com/books?id=LXEezzccwcoC Encyclopedia of Distances]''. Springer; 1 June 2009. ISBN 978-3-642-00233-5. p. [http://books.google.com/books?id=LXEezzccwcoC&pg=PA433 433].</ref> Its mass is thus approximately the Planck mass, and its Compton wavelength and Schwarzschild radius are about the Planck length.<ref>[http://www.springerlink.com/content/q525116713762240/ "Light element synthesis in Planck fireballs" - SpringerLink]</ref> Planck particles are sometimes used as an exercise to define the Planck mass and Planck length.<ref>B. Roy Frieden; Robert A. Gatenby. ''[http://books.google.com/books?id=qw5ka5HezacC Exploratory data analysis using Fisher information]''. Springer; 2007. ISBN 978-1-84628-506-6. p. [http://books.google.com/books?id=qw5ka5HezacC&pg=PA163 163].</ref> They play a role in some models of the evolution of the universe during the [[Planck epoch]].<ref>{{citation\|first=Edward Robert \|last=Harrison \|
			url=http://books.google.com/books?id=-8PJbcA2lLoC \|title=Cosmology: the science of the universe \| publisher=Cambridge University Press \| year=2000 \| isbn=978-0-521-66148-5}} p. [http://books.google.com/books?id=–8PJbcA2lLoC&pg=PA424 424]</ref>

	~~The particular upsides of video video games can include fun~~, ~~leisure activity and even education. The downsides range by means of addictive game play on younger individuals seeing and hearing things they unquestionably are not old enough over. With luck~~, the ~~ideas presented within this article can help manage video games incredibly well within your home for everyone~~'s ~~benefit.~~<br><br>~~If you want games which have happened to be created till now, clash of clans is preferred by many people~~. ~~The game which requires players using villages and characters to bring forward can quite challenging at times~~. ~~Bettors have to carry for different tasks including raids and missions~~. ~~May be very tough as well as players often get put~~ in ~~one place~~. ~~When this happens~~, ~~it can be quite frustrating. But this can be influenced now because there~~ is ~~often~~ a ~~way out of~~ .<br><br>~~Have~~ a ~~look at evaluations and see~~ the ~~trailers before buying another video game~~. ~~Makes it one thing you are looking for before you get~~ the ~~game~~. ~~These video games aren't low-cost, and also you~~ will ~~get nearly as a long way cash whenever you commerce inside a employed movie which you have few utilized several times.~~<br><br>~~To help keep your game just as regularly as possible. While car-preservation is a good characteristic~~, ~~do not count into it. Particularly~~, ~~when you earlier start playing a game~~, ~~you may not receive any thought when currently~~ the ~~game saves, which will probably result in~~ a ~~drop~~ of ~~significant info later. Until you learn about~~ the ~~sport better, time~~ and ~~again save yourself~~.<br><br>It's ~~difficult~~ to ~~select the appropriate xbox game gaming system~~. ~~In the beginning, you should involving your standard requirements as the video game player, as well as check out the extras made available from for each unit you are deciding on~~. ~~Consider investigating on~~-~~line~~. ~~Check credentials to ascertain if other useful gamers have discovered complaints about the unit~~. ~~In order to buying a game process, you should know although you are able to help regarding it~~.~~<br><br>~~The ~~specific amend additionally permits for you to definitely access the ability inside your Sensei application buffs provided with the Dojo~~ and. ~~Dojo win band technique~~. ~~Furthermore, it introduces fresh, new customized headgear~~ and ~~equipment, new barrio and safeguarding, and new assemblage improvements~~.		Compared for example to a [[proton]], the Planck particle would be extremely small (its radius being equal to the [[Planck length]], which is about 10<sup>−20</sup> times the proton's radius) and heavy (the [[Planck mass]] being 10<sup>19</sup> times the proton's mass).{{sfn\|Harrison\|2000\|p=[http://books.google.com/books?id=–8PJbcA2lLoC&pg=PA478 478]}}

			It is thought that such a particle would vanish in [[Hawking radiation]].{{cn\|date=March 2013}}

			== Derivation ==

			While opinions vary as to its proper definition, the most common definition of a Planck particle is a particle whose [[Compton wavelength]] is equal to its [[Schwarzschild radius]]. This sets the relationship:

			: <math> \lambda = \frac{h}{m c} = \frac{2 G m}{c^2} </math>

			Thus making the mass of such a particle:

			: <math> m = \sqrt{\frac{h c}{2 G}} </math>

			This mass will be <math> \sqrt{\pi } </math> times larger than the [[Planck mass]], making a Planck particle 1.772 times more massive than the Planck unit mass.

			Its radius will be the Compton wavelength:

			: <math> r = \frac{h}{m c} = \sqrt{\frac{2G h}{c^3}} </math>

			== Dimensions ==

			Using the above derivations we can substitute the universal constants ''h'', ''G'', and ''c'', and determine physical values for the particle's mass and radius. Assuming this radius represents a sphere of uniform density we can further determine the particle's volume and density.

			{\| class="wikitable"
			\|+Table 1: Physical dimensions of a Planck particle
			! Parameter
			! Dimension
			! Value in [[International System of Units\|SI]] units
			\|-
			\| Mass
			\| M
			\| {{val\|3.85763\|e=-8\|u=kg}}
			\|-
			\| Radius
			\| L
			\| {{val\|5.72947\|e=-35\|u=m}}
			\|-
			\| Volume
			\| L<sup>3</sup>
			\| {{val\|7.87827\|e=-103\|u=m<sup>3</sup>}}
			\|-
			\| Density
			\| M L<sup>−3</sup>
			\| {{val\|4.89655\|e=94\|u=kg m<sup>-3</sup>}}
			\|}

			It should be noted that the above dimensions do not correspond to any known physical entity or material.

			==See also==
			* [[Micro black hole]]
			* [[Planck units]]
			* [[Max Planck]]
			* [[Black hole electron]]

			==References==
			{{reflist}}

			==External links==
			* [http://adsabs.harvard.edu/full/1996A&A...313..703S "The quasi-steady state cosmology: analytical solutions of field equations and their relationship to observations" - Astrophysics Data Systems]
			* [http://books.google.com/books?id=fKgQ9YpAcwMC&pg=PA266&lpg=PA266&dq=%22Planck+Particle%22&source=bl&ots=1dkoz0CNXK&sig=ulu3rt9u5GZ1lBl8HR-8rR0-Grk&hl=en&ei=NRCnS5T_B4ekswPdg4C9BA&sa=X&oi=book_result&ct=result&resnum=4&ved=0CA4Q6AEwAzg8#v=onepage&q=%22Planck%20Particle%22&f=false "Mach's principle: from Newton's bucket to quantum gravity" - Google Books]
			* [http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-12528.pdf "Mysteries of Mass: Some Contrarian Views From an Experimenter"]
			* [http://cdsweb.cern.ch/record/876637 "The Gauge Hierarchy Problem and Planck Oscillators" - CERN Document Server]
			* [http://maeresearch.ucsd.edu/~cgibson/Documents2007/PapersAList%20copy/A97_Gibson_FirstFossilTurb.pdf "The First Turbulence and First Fossil Turbulence"]
			* [http://www.komac.re.kr/npet/new_proton/down/study-data/jhchang_lect4%28090324%29.pdf "Lecture on Nuclear Physics for Plasma Engineers"]
			* [http://math.ucr.edu/home/baez/planck/node2.html The Planck Length]

			{{DEFAULTSORT:Planck Particle}}
			[[Category:Black holes]]
			[[Category:Hypothetical elementary particles]]

152.19.55.168: /* Asymptotic properties */

2012-07-26T14:54:26Z

Asymptotic properties

New page

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