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<j.1:description rdf:datatype="http://qudt.org/schema/qudt/LatexString">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.</j.1:description>
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<j.0:latexDefinition rdf:datatype="http://qudt.org/schema/qudt/LatexString">$m_P = \sqrt{\frac{ \hbar c^3}{G}} \approx 1.2209 \times 10^{19} GeV/c^2 = 2.17651(13) \times 10^{-8}$, 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.</j.0:latexDefinition>
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TURTLE
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JSON
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