Galilean group
E166672
The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Bargmann group | 1 |
| Galilean group canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1462393 — 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: Galilean group Context triple: [Galilean relativity, hasSymmetryGroup, Galilean group]
-
A.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
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B.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
-
C.
Euclidean group
The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
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D.
Galilean relativity
Galilean relativity is the classical principle of relativity stating that the laws of mechanics are the same in all inertial frames related by Galilean transformations, assuming absolute time and Euclidean space.
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E.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
- 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: Galilean group Target entity description: The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
-
A.
Poincaré group
The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
-
B.
Lorentz group
The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
-
C.
Euclidean group
The Euclidean group is the group of all distance-preserving transformations of Euclidean space, consisting of rotations, reflections, and translations.
-
D.
Galilean relativity
Galilean relativity is the classical principle of relativity stating that the laws of mechanics are the same in all inertial frames related by Galilean transformations, assuming absolute time and Euclidean space.
-
E.
Lie group
A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
Lie group
ⓘ
kinematical group ⓘ mathematical group ⓘ symmetry group ⓘ |
| appliesTo | nonrelativistic limit of physical systems ⓘ |
| contrastsWith | Poincaré group ⓘ |
| coordinateTransformationProperty |
mixes space and time only through linear time-dependent spatial shifts
ⓘ
preserves absolute time ⓘ |
| describes |
symmetries of Newtonian mechanics
ⓘ
symmetries of Newtonian spacetime ⓘ |
| field |
classical mechanics
ⓘ
mathematical physics ⓘ |
| hasApplication | derivation of conservation laws via Noether’s theorem ⓘ |
| hasCentralExtension |
Bargmann group
ⓘ
linked to:
Galilean group
|
| hasDimension | 10 ⓘ |
| hasElementType | spacetime transformation ⓘ |
| hasGeneratorType |
boost generator
ⓘ
rotation generator ⓘ spatial translation generator ⓘ time translation generator ⓘ |
| hasMathematicalRepresentation | affine transformations of Newtonian spacetime ⓘ |
| hasNonRelativisticLimitOf | Poincaré group ⓘ |
| hasStructure | semidirect product of rotations and translations with boosts ⓘ |
| hasSubgroup |
Euclidean group in three dimensions
ⓘ
linked to:
Euclidean group
boost subgroup ⓘ rotation subgroup ⓘ spatial translation subgroup ⓘ time translation subgroup ⓘ |
| hasSymmetry |
homogeneity of space
ⓘ
homogeneity of time ⓘ inertial frame equivalence ⓘ isotropy of space ⓘ |
| hasTransformationType |
Galilean boost
ⓘ
spatial rotation ⓘ spatial translation ⓘ time translation ⓘ |
| invariantConcept | inertial frame ⓘ |
| invariantQuantity |
Newtonian time interval
ⓘ
spatial distance between simultaneous events ⓘ |
| isKinematicalGroupOf | Galilean relativity ⓘ |
| isSymmetryGroupOf |
Newton’s second law in inertial frames
ⓘ
free particle Newtonian equations of motion ⓘ |
| namedAfter | Galileo Galilei ⓘ |
| relatedConcept |
Galilean invariance
ⓘ
Galilean relativity principle ⓘ
linked to:
Galilean relativity
|
| usedIn |
classical field theory in Newtonian spacetime
ⓘ
nonrelativistic quantum mechanics ⓘ |
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: Galilean group Description of subject: The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Galilean group