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Select any concept, construction junction, or annotated relation by pointer, touch, search, or keyboard.
Construction junctions are diamonds. They show where multiple structures must coexist on the same carrier and satisfy compatibility conditions.
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This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
forms_to_em
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
field-strength two-form
Authored explanation
The electromagnetic field strength is represented by a differential two-form F.
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.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
emfield_to_potential
Relation type
Canonical construction canonical-construction
Direction
source → target
Endpoint roles
source: Canonically constructs; target: Canonically constructed from
Authored annotation
field strength F=dA
Authored explanation
Locally, the electromagnetic field strength is the exterior derivative of the four-potential; global topology may require multiple gauge patches.
How to interpret this relation type
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
source: Historically motivated; target: Historically motivated by
Authored annotation
field lines and induction
Authored explanation
Faraday’s induction and field-line experiments supplied the physical concepts that Maxwell recast into field equations.
How to interpret this relation type
The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
maxwell_governs_field
Relation type
Describes / governs describes-governs
Direction
source → target
Endpoint roles
source: Describes / governs; target: Described / governed by
Authored annotation
Maxwell dynamics
Authored explanation
Maxwell equations govern the electromagnetic field with specified sources.
How to interpret this relation type
A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.
source: Has state / property description; target: State / property description of
Authored annotation
has local energy flux
Authored explanation
Electric and magnetic fields jointly determine the Poynting vector; its surface integral contributes to electromagnetic energy transfer across a boundary under the chosen material description.
How to interpret this relation type
The target represents a state, property, observable, or state-dependent description associated with the source system or theory.