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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bekenstein bound canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T210607 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Bekenstein bound Context triple: [Bekenstein–Hawking entropy, relatesTo, Bekenstein bound]
-
A.
Bekenstein–Hawking entropy
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.
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B.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
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C.
Rényi entropy
Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
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D.
Shannon–Khinchin axioms
The Shannon–Khinchin axioms are a set of fundamental conditions that uniquely characterize Shannon entropy as the standard measure of information and uncertainty in probability theory and information theory.
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E.
Chandrasekhar limit
The Chandrasekhar limit is the maximum mass a white dwarf star can have before collapsing under its own gravity, playing a crucial role in determining its ultimate fate as a neutron star or black hole.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Bekenstein bound Target entity description: 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.
-
A.
Bekenstein–Hawking entropy
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.
-
B.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
C.
Rényi entropy
Rényi entropy is a generalized measure of information and uncertainty that extends Shannon entropy by introducing a tunable order parameter to emphasize different aspects of a probability distribution.
-
D.
Shannon–Khinchin axioms
The Shannon–Khinchin axioms are a set of fundamental conditions that uniquely characterize Shannon entropy as the standard measure of information and uncertainty in probability theory and information theory.
-
E.
Chandrasekhar limit
The Chandrasekhar limit is the maximum mass a white dwarf star can have before collapsing under its own gravity, playing a crucial role in determining its ultimate fate as a neutron star or black hole.
- F. None of above. chosen
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 ⓘ AdS/CFT correspondence ⓘ
surface form:
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
ⓘ
surface form:
Boltzmann constant k
energy E ⓘ entropy S ⓘ radius R ⓘ reduced Planck constant ⓘ
surface form:
reduced Planck constant ħ
speed of light c ⓘ |
| status | widely accepted in theoretical physics ⓘ |
| supportsTheory | holographic principle ⓘ |
| usesConstant |
Boltzmann constant
ⓘ
Newtonian gravitational constant G ⓘ
surface form:
Newtonian gravitational constant
reduced Planck constant ⓘ speed of light ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Bekenstein bound Description of subject: 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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.