# Resolve RDF Terms

Data based on @zazuko/vocabularies
unit:PER-PlanckMass2
http://qudt.org/vocab/unit/PER-PlanckMass2

### Namespace

http://qudt.org/vocab/unit/

### Recommended prefix

unit:

lang:en
Inverse Square Planck Mass
lang:""
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.
lang:""
2111089000000000.0
lang:""
http://dbpedia.org/resource/Planck_mass
lang:""
http://en.wikipedia.org/wiki/Planck_mass?oldid=493648632
lang:""
https://en.wikipedia.org/wiki/Planck_units
lang:""
$$m_P = \sqrt{\frac{ \hbar c^3}{G}} \approx 1.2209 \times 10^{19} GeV/c^2 = 2.17651(13) \times 10^{-8}$$, 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.
lang:""
/mₚ²