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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
math_spin_group_to_spinor_representation
Relation type
Model / approximation method model-realization
Direction
source → target
Endpoint roles
source: Has model / approximation; target: Model / approximation of
Authored annotation
choose a spin representation
Authored explanation
A spinor representation realizes the spin group linearly, usually through a module over the associated Clifford algebra; a particular representation is additional chosen data.
How to interpret this relation type
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.
Relation sources
Wikipedia — Spinor — Spinor · encyclopedic reference · source ID wp-spinor_representation
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
spinor_to_spinhalf
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
spinor representation
Authored explanation
Spin-1/2 states transform in spinor representations.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
Relation sources
Wikipedia — Spin-1/2 — Spin-1/2 · encyclopedic reference · source ID wp-physics-spin_half
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
spinorrep_to_spinorfield
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
Lorentz spinor transformation
Authored explanation
Spinor fields transform in spin representations of the Lorentz spin group.
How to interpret this relation type
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
Relation sources
Wikipedia — Spinor field — Spinor field · encyclopedic reference · source ID wp-physics-spinor_field
nLab — spinor field — spinor field · mathematical physics reference · source ID nlab-physics-spinor_field
Wikipedia — Spinor — Spinor · encyclopedic reference · source ID wp-spinor_representation
