Planck area

E230755

The Planck area is the fundamental unit of area in quantum gravity, defined as the square of the Planck length and often considered the smallest meaningful area scale in physics.

All labels observed (1)

Label Occurrences
Planck area canonical 3

How this entity was disambiguated

Statements (45)

Predicate Object
instanceOf Planck unit
physical constant
unit of area
appearsIn area quantization spectra in loop quantum gravity
approximateValue 2.612×10^-70 m^2
category fundamental physical constant
natural unit
comparedTo much smaller than nuclear cross-sectional areas
conceptualUse cutoff scale for continuum descriptions of spacetime
definedAs square of the Planck length
definedByConstants gravitational constant G
reduced Planck constant
surface form: reduced Planck constant ħ

speed of light c
dimension L^2
expressionInSIUnits (ħ G / c^3)
ℓ_P^2 = ħ G / c^3
field Planck scale physics
quantum gravity
theoretical physics
hasPhysicalInterpretation area where quantum and gravitational effects are equally strong
inNaturalUnits set to 1 when ħ = c = G = 1
inPlanckUnits 1
introducedBy Max Planck’s system of natural units
measurementFeasibility far below current experimental reach
namedAfter Max Planck
orderOfMagnitude 10^-70 square metres
relatedMathematicalForm A_P = (ħ G / c^3)
A_P = ℓ_P^2
relatedToConcept Planck scale
discrete spacetime
loop quantum gravity
quantum geometry
relatedUnit Planck length
Planck volume
roleInTheory candidate minimal meaningful area scale
natural area unit in quantum gravity
scaleType fundamental area scale
SIUnitExpression m^2
status theoretical
symbol A_P
ℓ_P^2
unitSystem Planck units
usedIn Bekenstein–Hawking entropy
black hole entropy formulas
holographic principle

How these facts were elicited

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Planck length relatedConcept Planck area
Planck units hasBaseQuantity Planck area
Planck volume relatedQuantity Planck area