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Planck Mass




:m_P = \sqrt{ rac{\hbar c}{G}} ≈ 1.2209 × 1019 GeV /c2 = 2.176 × 10-8 kg
The 2002 CODATA -recommended value for the Planck mass is 2.176 45(16) × 10-8 kg, where the part in parentheses indicates the Uncertainty in the last digits shown — that is, a value of 2.17645 × 10-8 kg ± 0.00016 × 10-8 kg.

Particle Physicists and Cosmologists often use the reduced Planck mass, which is
:\sqrt{ rac{\hbar{}c}{8\pi G}} ≈ 4.340 µg.
Adding the 8π simplifies several equations in gravity.

Unlike most of the other Planck Units , the Planck mass is on a scale more or less conceivable to Human s, as the body mass of a human Flea is roughly 4000 to 5000 ''m''P.


SIGNIFICANCE

The Planck mass is the mass of a black hole whose
Schwarzschild Radius multiplied by π equals its Compton Wavelength . The radius of such a black hole is roughly the Planck Length , which is believed to be the length scale at which both general relativity and quantum mechanics simultaneously become important.


SEE ALSO




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