ADM formalism
E518520
The ADM formalism is a Hamiltonian formulation of general relativity that splits spacetime into space and time, providing a canonical framework widely used in quantum gravity and numerical relativity.
All labels observed (1)
| Label | Occurrences |
|---|---|
| ADM formalism canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5426927 — 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: ADM formalism Context triple: [Wheeler–DeWitt equation, basedOn, ADM formalism]
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A.
ADF
ADF is the abbreviation for the Australian Defence Force, the unified military organization responsible for defending Australia and its national interests.
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B.
ADF
ADF (Allied Democratic Forces) is an Islamist rebel group originally from Uganda that operates primarily in eastern Democratic Republic of the Congo and is known for violent attacks on civilians.
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C.
AMA
AMA is the leading professional association and lobbying group representing physicians and medical students in the United States.
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D.
ADM
ADM is the abbreviated name for Aéroports de Montréal, the authority that manages the main international airports serving the Montreal region in Canada.
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E.
AMS
AMS is the three-letter IATA airport code for Amsterdam Airport Schiphol, the main international airport of the Netherlands.
- 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: ADM formalism Target entity description: The ADM formalism is a Hamiltonian formulation of general relativity that splits spacetime into space and time, providing a canonical framework widely used in quantum gravity and numerical relativity.
-
A.
ADF
ADF is the abbreviation for the Australian Defence Force, the unified military organization responsible for defending Australia and its national interests.
-
B.
ADF
ADF (Allied Democratic Forces) is an Islamist rebel group originally from Uganda that operates primarily in eastern Democratic Republic of the Congo and is known for violent attacks on civilians.
-
C.
AMA
AMA is the leading professional association and lobbying group representing physicians and medical students in the United States.
-
D.
ADM
ADM is the abbreviated name for Aéroports de Montréal, the authority that manages the main international airports serving the Montreal region in Canada.
-
E.
AMS
AMS is the three-letter IATA airport code for Amsterdam Airport Schiphol, the main international airport of the Netherlands.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
Hamiltonian formulation of general relativity
ⓘ
canonical formulation ⓘ theoretical physics formalism ⓘ |
| appliedIn |
canonical quantum gravity
ⓘ
gravitational wave modeling ⓘ initial value formulation of general relativity ⓘ loop quantum gravity ⓘ numerical simulations of spacetime ⓘ |
| developedIn | 1960s ⓘ |
| dimensionSplit | 3+1 ⓘ |
| enables |
ADM mass definition
ⓘ
ADM momentum definition ⓘ definition of gravitational energy in asymptotically flat spacetimes ⓘ |
| field |
general relativity
ⓘ
numerical relativity ⓘ quantum gravity ⓘ |
| goal | cast general relativity into Hamiltonian form ⓘ |
| hasAbbreviation | ADM NERFINISHED ⓘ |
| language | mathematical physics ⓘ |
| namedAfter |
Charles W. Misner
NERFINISHED
ⓘ
Richard Arnowitt NERFINISHED ⓘ Stanley Deser NERFINISHED ⓘ |
| provides |
Hamiltonian for general relativity
ⓘ
canonical formulation of Einstein field equations ⓘ phase space description of gravity ⓘ |
| relatedTo |
Arnowitt–Deser–Misner decomposition
NERFINISHED
ⓘ
Dirac constraint quantization NERFINISHED ⓘ Einstein–Hilbert action NERFINISHED ⓘ canonical quantization ⓘ covariant formulation of general relativity ⓘ |
| treatsSpaceAs | sequence of 3-dimensional hypersurfaces ⓘ |
| treatsTimeAs | evolution parameter ⓘ |
| usedFor |
constructing quantum theories of gravity
ⓘ
formulating boundary terms in general relativity ⓘ studying canonical structure of gravity ⓘ |
| usesConcept |
3+1 decomposition of spacetime
ⓘ
Hamiltonian constraint ⓘ Hamiltonian mechanics NERFINISHED ⓘ canonical variables ⓘ constraint equations ⓘ extrinsic curvature ⓘ foliation of spacetime ⓘ lapse function ⓘ momentum constraint ⓘ shift vector ⓘ spacelike hypersurfaces ⓘ spatial metric ⓘ |
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: ADM formalism Description of subject: The ADM formalism is a Hamiltonian formulation of general relativity that splits spacetime into space and time, providing a canonical framework widely used in quantum gravity and numerical relativity.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.