Each relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
field_to_particle_state- Relation type
- Physical constitution / realization
composition - Direction
- source → target
- Endpoint roles
- source: Constitutes / realizes; target: Constituted / realized by
- Authored annotation
- interpolated one-particle state
Authored explanation
A suitably smeared field acting on the vacuum can have overlap with one-particle states; the relation is theory- and stability-dependent.
How to interpret this relation type
The source is a material constituent, structural component, or underlying quantum field whose excitation realizes the target physical system or particle. The edge label and detail must distinguish composition from field excitation; neither implies a simple classical sum of parts.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
qft_to_oneparticle- Relation type
- State / property description
state-description - Direction
- source → target
- Endpoint roles
- source: Has state / property description; target: State / property description of
- Authored annotation
- one-particle sector
Authored explanation
Stable particles correspond to one-particle asymptotic sectors or representations when they exist.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
unitaryrep_to_particle- Relation type
- Mathematical formulation
mathematical-formulation - Direction
- source → target
- Endpoint roles
- source: Mathematically formulates; target: Mathematically formulated using
- Authored annotation
- symmetry representation
Authored explanation
One-particle state spaces carry unitary representations of spacetime and internal symmetry groups.
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.