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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Planck force ： ウィキペディア英語版 Planck force Planck force is the derived unit of force resulting from the definition of the base Planck units for time, length, and mass. It is equal to the natural unit of momentum divided by the natural unit of time. :$F\_\backslash text\; =\; \backslash frac\; =\; 1.21027\; \backslash times\; 10^\; \backslash mbox$ ==Other derivations== The Planck force is also associated with the equivalence of gravitational potential energy and electromagnetic energy and in this context it can be understood as the force that confines a self-gravitating mass to half its Schwarzschild radius: :$F\_\backslash text\; =\; \backslash frac$, :$r\_\backslash text\; =\; \backslash frac\; =\; \backslash frac.$, where ''G'' is the gravitational constant, ''c'' is the speed of light, ''m'' is any mass and ''r''G is half the Schwarzschild radius, ''r''s, of the given mass. Since the dimension of force is also a ratio of energy per length, the Planck force can be calculated as energy divided by half the Schwarzschild radius: :$F\_\backslash text\; =\; \backslash frac\}=\backslash frac.$ As mentioned above, Planck force has a unique association with the Planck mass. This unique association also manifests itself when force is calculated as any energy divided by the reduced Compton wavelength (reduced by 2π) of that same energy: :$F\; =\; \backslash frac\}\; =\; \backslash frac.$ Here the force is different for every mass (for the electron, for example, the force is responsible for the Schwinger effect (see page 3 here ()). It is Planck force only for the Planck mass (approximately 2.18 × 10−8 kg). This follows from the fact that the Planck length is a reduced Compton wavelength equal to half the Schwarzschild radius of the Planck mass: :$\backslash frac\; =\; \backslash frac$ which in turn follows from another relation of fundamental significance: :$c\; \backslash hbar\; =\; G\; m\_\backslash text^2.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Planck force」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.