@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix owl: <http://www.w3.org/2002/07/owl#> .
@prefix dcterms: <http://purl.org/dc/terms/> .
@prefix prefix: <http://qudt.org/vocab/prefix/> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix qkdv: <http://qudt.org/vocab/dimensionvector/> .
@prefix quantitykind: <http://qudt.org/vocab/quantitykind/> .
@prefix qudt: <http://qudt.org/schema/qudt/> .
@prefix si-unit: <https://si-digital-framework.org/SI/units/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix sou: <http://qudt.org/vocab/sou/> .
@prefix unit: <http://qudt.org/vocab/unit/> .
@prefix vaem: <http://www.linkedmodel.org/schema/vaem#> .
@prefix voag: <http://voag.linkedmodel.org/schema/voag#> .

unit:PER-PlanckMass2
  a 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:LatexString ;
  qudt:applicableSystem sou:PLANCK ;
  qudt:conversionMultiplier 2111089287176721.707084516481080014 ;
  qudt:conversionMultiplierSN 2.111089287176721707084516481080014E15 ;
  qudt:dbpediaMatch "http://dbpedia.org/resource/Planck_mass"^^xsd:anyURI ;
  qudt:hasDimensionVector qkdv:A0E0L0I0M-2H0T0D0 ;
  qudt:hasFactorUnit [
    a qudt:FactorUnit ;
    qudt:exponent -2 ;
    qudt:hasUnit unit:PlanckMass ;
  ] ;
  qudt:hasQuantityKind quantitykind:InverseSquareMass ;
  qudt:informativeReference "https://en.wikipedia.org/wiki/Planck_mass?oldid=493648632"^^xsd:anyURI ;
  qudt:informativeReference "https://en.wikipedia.org/wiki/Planck_units"^^xsd:anyURI ;
  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:LatexString ;
  qudt:symbol "/planckmass²" ;
  rdfs:isDefinedBy <http://qudt.org/3.2.1/vocab/unit> ;
  rdfs:label "Reciprocal Square Planck Mass" ;
  rdfs:label "Reciprocal Square Planck Mass"@en .