Bekenstein–Hawking entropy
E4708
Bekenstein–Hawking entropy is the thermodynamic entropy associated with a black hole, proportional to the area of its event horizon and fundamental in linking gravity, quantum theory, and thermodynamics.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Gibbons–Hawking entropy | 1 |
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
black hole thermodynamics concept
ⓘ
physical quantity ⓘ thermodynamic entropy ⓘ |
| appliesTo | black hole ⓘ |
| contrastsWith | volume-proportional entropy in ordinary thermodynamic systems ⓘ |
| dependsOn | event horizon area ⓘ |
| developedBy | Stephen Hawking ⓘ |
| domain | theoretical physics ⓘ |
| field |
black hole thermodynamics
ⓘ
general relativity ⓘ quantum gravity ⓘ statistical mechanics ⓘ |
| hasFormula | S = k_B c^3 A / (4 G ħ) ⓘ |
| hasLeadingTerm | area divided by 4 in Planck units ⓘ |
| implies | information content of a black hole scales with area not volume ⓘ |
| introducedBy | Jacob Bekenstein ⓘ |
| isAssociatedWith | event horizon ⓘ |
| isCentralTo |
loop quantum gravity black hole entropy calculations
ⓘ
microscopic models of black hole states ⓘ string theory black hole entropy calculations ⓘ |
| isExampleOf | area law for entropy ⓘ |
| isGeometric | true ⓘ |
| isKeyTo |
AdS/CFT correspondence
ⓘ
holographic principle ⓘ |
| isLimitOf | entanglement entropy across a horizon in quantum field theory ⓘ |
| isModifiedBy | quantum gravity corrections ⓘ |
| isNonzeroFor | any black hole with nonzero horizon area ⓘ |
| isProportionalTo |
area of the event horizon
ⓘ
horizon area in Planck units ⓘ |
| isZeroFor | zero-area horizon ⓘ |
| measuredIn | joules per kelvin ⓘ |
| namedAfter |
Jacob Bekenstein
ⓘ
Stephen Hawking ⓘ |
| relatesGeometryTo |
quantum information
ⓘ
thermodynamic entropy ⓘ |
| relatesTo |
Bekenstein bound
ⓘ
Hawking radiation ⓘ black hole temperature ⓘ |
| satisfies | generalized second law of thermodynamics ⓘ |
| supports | view of black holes as thermodynamic systems ⓘ |
| symbol | S ⓘ |
| usedIn |
derivations of holographic entropy bounds
ⓘ
studies of black hole information paradox ⓘ |
| usesConstant |
Boltzmann constant
ⓘ
Newtonian gravitational constant G ⓘ
surface form:
Newtonian gravitational constant
reduced Planck constant ⓘ speed of light ⓘ |
| yearProposed | 1970s ⓘ |
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Gibbons–Hawking entropy