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Planck energy : ウィキペディア英語版
Planck energy

In physics, Planck energy, denoted by , is the unit of energy in the system of natural units known as Planck units.〔(【引用サイトリンク】title=Planck Energy )
:E_\mathrm = \sqrt} \approx 1.956 \times 10^9\ \mathrm \approx 1.22 \times 10^\ \mathrm \approx 0.5433\ \mathrm
where is the speed of light in a vacuum, is the reduced Planck's constant, and is the gravitational constant. is a ''derived'', as opposed to ''basic'', Planck unit.
An equivalent definition is:
:E_\mathrm = }},
where is the Planck time.
Also:
:E_\mathrm = ,
where is the Planck mass.
The ultra-high-energy cosmic rays observed in 1991 had a measured energy of about 50 joules, equivalent to about 2.5×10−8 . Most Planck units are fantastically small and thus are unrelated to "macroscopic" phenomena (or fantastically large, as in the case of Planck density). One , on the other hand, is definitely macroscopic, approximately equaling the energy stored in an automobile gas tank (57.2 L of gasoline at 34.2 MJ/L of chemical energy).
Planck units are designed to normalize the physical constants , and to 1. Hence given Planck units, the mass-energy equivalence simplifies to , so that the Planck energy and mass are numerically identical. In the equations of general relativity, is often multiplied by 8π. Hence writings in particle physics and physical cosmology often normalize to 1. This normalization results in the reduced Planck energy, defined as:
:\sqrt} \approx 0.390 \times 10^9\ \mathrm \approx 2.43 \times 10^ \ \mathrm.
==See also==

*Max Planck
*Planck epoch
*Planck particle
*Planck units
*Quantum gravity
*Photon energy

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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