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#REDIRECT [[Planck units#Planck temperature]]
The '''Planck temperature''', named after [[Germany|German]] [[physicist]] [[Max Planck]], is the unit of [[temperature]], denoted by T<sub>P</sub>, in the system of [[natural units]] known as [[Planck units]]. It is one of the Planck units that represent a fundamental limit of [[quantum mechanics]]. The Planck temperature is the fundamental upper limit of temperature; modern science considers it nonsensical to conjecture about anything hotter, as this is the upper limit at which matter can operate. Beyond this, everything turns into energy as all subatomic particles become so excited they break down. It is the temperature of the Universe during the first instant (the first unit of [[Planck time]]) of the [[Big Bang]] according to current [[cosmology]].

<math>T_P = \frac{m_P c^2}{k} = \sqrt{\frac{\hbar c^5}{G k^2}} =</math>
[[1 E30 K|1.41679(11) &times; 10<sup>32</sup>]] [[kelvin|K]]

where:

''m''<sub>P</sub> is the [[Planck mass]]

''c'' is the [[speed of light]] in a vacuum

<math>\hbar</math> is the reduced [[Planck constant]] (or [[Dirac's constant]]), which can be found by <math>\hbar\ = \frac{h}{2\pi} </math>

''k'' is the [[Boltzmann constant]]

''G'' is the [[gravitational constant]]

The two digits between the [[Bracket|parentheses]] denote the uncertainty ([[standard deviation]]) in the last two digits of the value.

== See also==
* [[Orders of magnitude (temperature)]]
* [[Planck's constant]]
* [[Planck unit]]s

==References==
* [http://physics.nist.gov/cgi-bin/cuu/Value?plktmp NIST reference: Planck temperature]
* [http://www.straightdope.com/classics/a3_347.html What is the opposite of absolute zero?]

{{Planckunits}}

[[Category:Units of temperature]]
[[Category:Natural units|Temperature]]
[[Category:Physical constants]]

[[ca:Temperatura de Planck]]
[[es:Temperatura de Planck]]
[[fr:Température de Planck]]
[[ko:플랑크 온도]]
[[it:Temperatura di Planck]]
[[he:טמפרטורת פלאנק]]
[[hu:Planck-hőmérséklet]]
[[nl:Plancktemperatuur]]
[[ja:プランク温度]]
[[pl:Temperatura Plancka]]
[[sk:Planckova teplota]]
[[fi:Planckin lämpötila]]
[[vi:Nhiệt độ Planck]]
[[zh:蒲朗克溫度]]

Latest revision as of 08:04, 12 February 2021