Bekenstein bound
E26864
The Bekenstein bound is a theoretical limit in physics on the maximum amount of information or entropy that can be contained within a finite region of space with a given amount of energy.
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
concept in theoretical physics
→
physical law → theoretical limit → |
| appliesTo |
finite region of space
→
systems with finite energy → |
| associatedWith |
black hole thermodynamics
→
generalized second law of thermodynamics → holographic principle → |
| category |
information-theoretic bound
→
physical law about entropy → |
| constrains |
information capacity of physical systems
→
possible states of physical systems → |
| defines |
upper limit on entropy in a finite region of space
→
upper limit on information in a finite region of space → |
| field |
black hole physics
→
information theory → physics → quantum gravity → thermodynamics → |
| hasConsequence |
limits computational capacity of bounded systems
→
no arbitrarily large entropy in finite region with finite energy → |
| hasMathematicalForm |
S ≤ 2πkRE/ħc
→
|
| implies |
entropy is bounded by area and energy scales
→
limit on information storage density → maximum information content for given energy and size → |
| motivated |
development of holographic ideas in quantum gravity
→
|
| namedAfter |
Jacob Bekenstein
→
|
| proposedBy |
Jacob Bekenstein
→
|
| proposedInContextOf |
black hole entropy
→
|
| relatedTo |
Bekenstein–Hawking entropy
→
black hole event horizon area → |
| relatesQuantity |
energy
→
entropy → information → size of region → |
| relatesVariable |
Boltzmann constant k
→
energy E → entropy S → radius R → reduced Planck constant ħ → speed of light c → |
| status |
widely accepted in theoretical physics
→
|
| supportsTheory |
holographic principle
→
|
| usesConstant |
Boltzmann constant
→
Newtonian gravitational constant → reduced Planck constant → speed of light → |
Referenced by (2)
| Subject (surface form when different) | Predicate |
|---|---|
|
Jacob Bekenstein
→
|
notableFor |
|
Bekenstein–Hawking entropy
→
|
relatesTo |