cosmic Galois group
E959838
UNEXPLORED
The cosmic Galois group is a conjectural symmetry group acting on periods and structures arising in quantum field theory and arithmetic geometry, proposed to unify and explain deep relations between Feynman integrals, motives, and number-theoretic phenomena.
All labels observed (1)
| Label | Occurrences |
|---|---|
| cosmic Galois group canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12027068 — 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: cosmic Galois group Context triple: [Noncommutative Geometry, Quantum Fields and Motives, topic, cosmic Galois group]
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A.
Galois group
A Galois group is the group of field automorphisms of a field extension that captures the symmetries of its algebraic equations and underpins much of modern algebra and number theory.
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B.
Galois cohomology
Galois cohomology is a branch of mathematics that studies Galois groups and their actions on modules using cohomological methods, providing powerful tools for understanding field extensions, algebraic number theory, and arithmetic geometry.
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C.
Galois correspondence
Galois correspondence is a fundamental concept in field theory that establishes a one-to-one relationship between intermediate field extensions and subgroups of a Galois group.
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D.
Galois theory
Galois theory is a branch of abstract algebra that studies field extensions and polynomial equations through the structure of their associated symmetry groups.
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E.
Galois
Galois is a French surname most famously associated with Évariste Galois, the pioneering 19th-century mathematician who founded group theory and laid the groundwork for modern abstract algebra.
- 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: cosmic Galois group Target entity description: The cosmic Galois group is a conjectural symmetry group acting on periods and structures arising in quantum field theory and arithmetic geometry, proposed to unify and explain deep relations between Feynman integrals, motives, and number-theoretic phenomena.
-
A.
Galois group
A Galois group is the group of field automorphisms of a field extension that captures the symmetries of its algebraic equations and underpins much of modern algebra and number theory.
-
B.
Galois cohomology
Galois cohomology is a branch of mathematics that studies Galois groups and their actions on modules using cohomological methods, providing powerful tools for understanding field extensions, algebraic number theory, and arithmetic geometry.
-
C.
Galois correspondence
Galois correspondence is a fundamental concept in field theory that establishes a one-to-one relationship between intermediate field extensions and subgroups of a Galois group.
-
D.
Galois theory
Galois theory is a branch of abstract algebra that studies field extensions and polynomial equations through the structure of their associated symmetry groups.
-
E.
Galois
Galois is a French surname most famously associated with Évariste Galois, the pioneering 19th-century mathematician who founded group theory and laid the groundwork for modern abstract algebra.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.