unit:PER-PlanckMass2
http://qudt.org/vocab/unit/PER-PlanckMass2
unit:PER-PlanckMass2qudt:Unit| Predicate | Object |
|---|---|
rdf:type |
qudt:Unit |
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:applicableSystem |
sou:PLANCK |
qudt:conversionMultiplier |
2111089287176721.707084516481080014 |
qudt:conversionMultiplierSN |
2.111089287176721707084516481080014E15 |
qudt:dbpediaMatch |
http://dbpedia.org/resource/Planck_mass |
qudt:hasDimensionVector |
qkdv:A0E0L0I0M-2H0T0D0 |
qudt:hasFactorUnit |
|
↳ rdf:type |
qudt:FactorUnit |
↳ qudt:exponent |
-2 |
↳ qudt:hasUnit |
unit:PlanckMass |
qudt:hasQuantityKind |
quantitykind:InverseSquareMass |
qudt:informativeReference |
|
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 |
“/planckmass²” |
rdfs:isDefinedBy |
http://qudt.org/3.1.11/vocab/unit |
rdfs:label |
|