unit:PER-PlanckMass2

URI: http://qudt.org/vocab/unit/PER-PlanckMass2

Type
Description

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.

Properties
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qudt:latexDefinition
$m_P = \sqrt{\frac{ \hbar c^3}{G}} \approx 1.2209 \times 10^{19} GeV/c^2 = 2.17651(13) \times 10^{-8}$, 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.
qudt:symbol
/mₚ²
rdf:type
Annotations
dcterms:description
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.
qudt:informativeReference
rdfs:isDefinedBy
rdfs:label
Inverse Square Planck Mass(en)
View as:  CSV

Work in progress

RDF/XML 
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