Milne universe model
E818283
The Milne universe model is a cosmological model that describes an empty, expanding universe with negative spatial curvature, serving as a special-relativistic alternative to general relativistic cosmologies.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Milne model | 1 |
| Milne universe | 1 |
| Milne universe model canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9756621 — 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: Milne universe model Context triple: [Edward Arthur Milne, knownFor, Milne universe model]
-
A.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
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B.
Einstein static universe
The Einstein static universe is a cosmological model proposed by Albert Einstein in which the universe is finite, spatially curved, and static, balanced by a cosmological constant that counteracts gravitational collapse.
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C.
Lemaître–Hubble law
The Lemaître–Hubble law is the fundamental cosmological relation that expresses the proportionality between a galaxy’s recessional velocity and its distance, providing the first observational evidence for the expansion of the universe.
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D.
The Expanding Universe
"The Expanding Universe" is a chapter in Stephen Hawking’s popular science book *A Brief History of Time* that explains how observations and cosmological theory reveal that the universe is growing larger over time.
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E.
Lemaître–Tolman metric
The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
- 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: Milne universe model Target entity description: The Milne universe model is a cosmological model that describes an empty, expanding universe with negative spatial curvature, serving as a special-relativistic alternative to general relativistic cosmologies.
-
A.
FLRW cosmological models
FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
-
B.
Einstein static universe
The Einstein static universe is a cosmological model proposed by Albert Einstein in which the universe is finite, spatially curved, and static, balanced by a cosmological constant that counteracts gravitational collapse.
-
C.
Lemaître–Hubble law
The Lemaître–Hubble law is the fundamental cosmological relation that expresses the proportionality between a galaxy’s recessional velocity and its distance, providing the first observational evidence for the expansion of the universe.
-
D.
The Expanding Universe
"The Expanding Universe" is a chapter in Stephen Hawking’s popular science book *A Brief History of Time* that explains how observations and cosmological theory reveal that the universe is growing larger over time.
-
E.
Lemaître–Tolman metric
The Lemaître–Tolman metric is an exact spherically symmetric, inhomogeneous solution of Einstein’s field equations used in cosmology to model non-uniform distributions of matter without assuming spatial homogeneity.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
Friedmann–Lemaître–Robertson–Walker model
ⓘ
cosmological model ⓘ |
| assumes |
no dark energy
ⓘ
no dark matter ⓘ no matter ⓘ no radiation ⓘ |
| basedOn | special relativity ⓘ |
| belongsTo |
kinematic relativity theory
ⓘ
linked to:
Kinematic Relativity
|
| describes |
empty universe
ⓘ
expanding universe ⓘ |
| hasCosmologicalConstant | zero ⓘ |
| hasCurvatureParameter | k = -1 ⓘ |
| hasDecelerationParameter | q = 0 ⓘ |
| hasEnergyDensity | zero ⓘ |
| hasGlobalGeometry | portion of Minkowski spacetime foliated by expanding hyperbolic slices ⓘ |
| hasHubbleParameter | H(t) = 1/t ⓘ |
| hasMatterContent | zero ⓘ |
| hasMetric | ds² = dt² − t²[dχ² + sinh²χ(dθ² + sin²θ dφ²)] ⓘ |
| hasRedshiftOrigin | kinematic expansion ⓘ |
| hasScaleFactor | a(t) ∝ t ⓘ |
| hasSpatialCurvature | negative ⓘ |
| hasSpatialGeometry | hyperbolic ⓘ |
| hasSpatialTopology | open ⓘ |
| hasStatus | historical and pedagogical interest ⓘ |
| hasSymmetry |
spatial homogeneity
ⓘ
spatial isotropy ⓘ |
| hasTotalDensityParameter | Ω = 0 ⓘ |
| isAlternativeTo |
Einstein–de Sitter universe
ⓘ
general relativistic cosmologies ⓘ ΛCDM model ⓘ
linked to:
Lambda-CDM model
|
| isConformallyRelatedTo | Minkowski metric in spherical Rindler-like coordinates ⓘ |
| isInconsistentWith |
observed matter content of the universe
ⓘ
precision cosmological observations ⓘ |
| isLimitCaseOf | open FLRW universe with vanishing density ⓘ |
| isSolutionOf |
Friedmann equations
ⓘ
linked to:
FLRW cosmological models
|
| isUsedAs |
counterexample to necessity of gravity for expansion
ⓘ
pedagogical example in cosmology ⓘ |
| namedAfter | Edward Arthur Milne ⓘ |
| neglects | self-gravity of matter ⓘ |
| predicts |
age of universe equal to 1/H₀
ⓘ
linear Hubble law ⓘ no gravitational deceleration of expansion ⓘ |
| proposedIn | 1930s ⓘ |
| satisfies |
Friedmann equations with ρ = 0 and Λ = 0
ⓘ
cosmological principle in comoving coordinates ⓘ |
| usesCoordinates | Milne coordinates ⓘ |
| usesSpacetime |
Minkowski spacetime
ⓘ
linked to:
Minkowski space-time
|
| wasProposedBy | Edward Arthur Milne ⓘ |
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: Milne universe model Description of subject: The Milne universe model is a cosmological model that describes an empty, expanding universe with negative spatial curvature, serving as a special-relativistic alternative to general relativistic cosmologies.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Milne universe model
linked to: Milne universe model