Page curve
E143968
The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Page curve canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1250529 — 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: Page curve Context triple: [Hawking radiation, relatedTo, Page curve]
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A.
The Graphic
The Graphic was a British illustrated weekly newspaper of the late 19th and early 20th centuries, renowned for its high-quality artwork and influential social commentary.
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B.
C Line
The C Line is a light rail route in the Los Angeles Metro Rail system that runs primarily along the I-105 freeway corridor, connecting coastal and inland communities in the South Bay region.
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C.
Circle line
The Circle line is a central London Underground route forming a loop through key districts and interchanges in the city’s transport network.
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D.
Page
Page is a common English surname borne by numerous notable individuals across fields such as technology, entertainment, and politics.
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E.
Brushstroke
Brushstroke is a 1965 pop art painting by Roy Lichtenstein that magnifies a single painterly brushstroke into a bold, comic-strip-style image commenting on art and representation.
- 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: Page curve Target entity description: The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
-
A.
The Graphic
The Graphic was a British illustrated weekly newspaper of the late 19th and early 20th centuries, renowned for its high-quality artwork and influential social commentary.
-
B.
C Line
The C Line is a light rail route in the Los Angeles Metro Rail system that runs primarily along the I-105 freeway corridor, connecting coastal and inland communities in the South Bay region.
-
C.
Circle line
The Circle line is a central London Underground route forming a loop through key districts and interchanges in the city’s transport network.
-
D.
Page
Page is a common English surname borne by numerous notable individuals across fields such as technology, entertainment, and politics.
-
E.
Brushstroke
Brushstroke is a 1965 pop art painting by Roy Lichtenstein that magnifies a single painterly brushstroke into a bold, comic-strip-style image commenting on art and representation.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
prediction in quantum gravity
ⓘ
theoretical concept in black hole physics ⓘ |
| addresses | consistency of black hole evaporation with quantum theory ⓘ |
| appliesTo |
evaporating black holes
ⓘ
unitary black hole evaporation scenarios ⓘ |
| associatedWith |
Hawking radiation
ⓘ
black hole information paradox ⓘ information loss problem ⓘ unitarity in quantum mechanics ⓘ |
| basedOn |
random pure states in bipartite quantum systems
ⓘ
statistical properties of entanglement entropy ⓘ |
| contrastsWith | monotonic increase of entropy predicted by semiclassical Hawking calculation ⓘ |
| describes |
behavior of entanglement entropy during black hole evaporation
ⓘ
time dependence of entanglement entropy of Hawking radiation ⓘ |
| domain |
high-energy physics
ⓘ
quantum cosmology ⓘ theoretical physics ⓘ |
| field |
black hole physics
ⓘ
quantum gravity ⓘ quantum information theory ⓘ |
| hasGraphShape | initially rising and then falling curve of entropy versus time ⓘ |
| hasImplication |
information is not lost in black hole evaporation
ⓘ
late-time Hawking radiation must be correlated with early radiation ⓘ |
| hasKeyPoint |
entanglement entropy decreases after the Page time
ⓘ
entanglement entropy increases until roughly half the black hole entropy has been radiated ⓘ restoration of purity of the final radiation state ⓘ |
| hasPhase |
early-time growth of entanglement entropy
ⓘ
late-time decrease of entanglement entropy ⓘ |
| mathematicallyCharacterizedAs | average entanglement entropy of a subsystem of a random pure state ⓘ |
| motivatedBy | requirement of unitarity in quantum mechanics ⓘ |
| namedAfter |
James M. Bardeen
ⓘ
surface form:
Don Page
|
| predicts |
entanglement entropy of Hawking radiation first rises and then falls
ⓘ
final entanglement entropy of Hawking radiation is zero for a pure initial state ⓘ unitary evolution of black hole evaporation ⓘ |
| proposedBy |
James M. Bardeen
ⓘ
surface form:
Don Page
|
| publicationYear | 1993 ⓘ |
| relatedTo |
Hayden–Preskill thought experiment
ⓘ
Page theorem ⓘ Page time ⓘ firewall paradox ⓘ |
| relevantTo |
AdS/CFT correspondence
ⓘ
holographic principle ⓘ island formula ⓘ quantum extremal surfaces ⓘ |
| requires | quantum mechanical unitarity ⓘ |
| usesConcept |
Page time
ⓘ
entanglement entropy ⓘ von Neumann entropy ⓘ |
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: Page curve Description of subject: The Page curve is a theoretical prediction in black hole physics that describes how the entanglement entropy of Hawking radiation should rise and then fall over time if black hole evaporation is ultimately unitary.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.