unit:PlanckMass

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

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
qudt:conversionMultiplier
0.0000000217644
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.
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.
rdfs:label
Planck Mass(en)
View as:  CSV

Work in progress

RDF/XML
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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>
    <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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TURTLE
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JSON
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JSON-LD
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