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Inverse Square Planck Mass

In physics, the Planck mass, denoted by \(m_P\), is the unit of mass in the system of natural units known as Planck units. It is defined so that \(\approx 1.2209 \times 10 GeV/c_0 = 2.17651(13) \times 10 kg\), (or \(21.7651 \mu g\)), where \(c_0\) is the speed of light in a vacuum, \(G\) is the gravitational constant, and \(\hbar\) is the reduced Planck constant. Particle physicists and cosmologists often use the reduced Planck mass, which is \(\approx 4.341 \times 10 kg = 2.435 \times 10 GeV/c\). The added factor of \(1/{\sqrt{8\pi}}\) simplifies a number of equations in general relativity. Quantum effects are typified by the magnitude of Planck's constant.

2111089000000000.0

http://dbpedia.org/resource/Planck_mass

http://en.wikipedia.org/wiki/Planck_mass?oldid=493648632

https://en.wikipedia.org/wiki/Planck_units

\(m_P = \sqrt{\frac{ \hbar c^3}{G}} \approx 1.2209 \times 10^{19} GeV/c^2 = 2.17651(13) \times 10^{-8}\), where \(c\) is the speed of light in a vacuum, \(\hbar\) is the reduced Planck's constant, and \(G\) is the gravitational constant. The two digits enclosed by parentheses are the estimated standard error associated with the reported numerical value.

/mₚ²