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The 90 pages that link to Maxwell's equations, each with the reason it gives.

• ElectrodynamicsRelated: They provide the central field laws of classical electrodynamics.

• Electromagnetic field tensorRelated: Two tensor equations combine the four classical Maxwell equations into relativistic form.

• Generalized Stokes theoremRelated: Differential forms express the equations compactly, while Stokes relates local laws to integral laws.

• Poynting vectorNarrower topic: They yield the conservation equation that defines electromagnetic energy flux.

• Displacement currentNarrower topic: Displacement current is essential to the equations’ consistent description of changing fields.

• Gauss's law for magnetismNarrower topic: This law is one of the four equations governing classical electromagnetism.

• Magnetic circuitNarrower topic: They provide the broader field theory from which circuit approximations are drawn.

• Magnetic vector potentialNarrower topic: The potential offers a way to formulate these field equations.

• Wigner classificationRelated: Quantized electromagnetic waves correspond to massless helicity-one states.

• Wilhelm Eduard WeberCompared with: Maxwell’s field theory ultimately displaced Weber’s action-at-a-distance approach in mainstream electrodynamics.

• Coherent system of unitsRelated: Their written constants vary with the chosen electromagnetic unit system.

• Kaluza–Klein theoryRelated: Recovering these equations from higher-dimensional gravity was the theory's central aim.

• Lorentz covarianceRelated: Their Lorentz-covariant formulation unifies electric and magnetic fields across inertial frames.

• MagnetotelluricsNarrower topic: They provide the physical foundation for interpreting electromagnetic induction in Earth.

• NaturalnessNarrower topic: Their successful unification helped establish symmetry and simplicity as guides to physical theory.

• Ampère's force lawCompared with: They recast electromagnetic interactions in terms of fields rather than direct current-element forces.

• Einstein notationRelated: Tensor notation compresses their relativistic formulation into indexed equations.

• Vacuum permeabilityNarrower topic: μ₀ appears in these equations alongside the vacuum permittivity.

• Aether theoriesRelated: Their wave solutions made electromagnetic waves central to later aether debates.

• Classical physicsBroader topic: They unify classical electricity, magnetism, and electromagnetic waves.

• Electromagnetic four-potentialRelated: In terms of the four-potential, the equations reduce to wave equations after gauge fixing.

• Electromagnetic wave equationNarrower topic: Taking curls of the field equations yields wave equations when sources vanish.

• Multivariable calculusRelated: Their differential and integral forms use multivariable calculus.

• Helmholtz decompositionRelated: Their divergence and curl laws expose the structures separated by the decomposition.

• History of special relativityRelated: Their fixed prediction for light’s speed clashed with classical rules for adding velocities.

• Magnetic energyNarrower topic: They place magnetic energy within the full dynamics of electromagnetic fields.

• Galilean invarianceCompared with: Their standard form is not invariant under Galilean transformations.

• Impedance of free spaceNarrower topic: In vacuum, these equations relate the electric and magnetic amplitudes of a traveling wave.

• Poynting's theoremRelated: Their differential form yields the theorem’s local energy balance.

• Astrophysical electromagnetic fieldsNarrower topic: They provide the general laws governing fields, beyond the conducting-fluid approximation.

• Classical unified field theoriesRelated: They provided the electromagnetic theory that unification proposals sought to incorporate.

• Displacement current densityNarrower topic: They establish the broader field equations in which displacement current density appears.

• Electromagnetic field calculationsNarrower topic: They provide the fundamental laws that field calculations solve.

• First-principles calculations in plasma physicsNarrower topic: They provide the field laws coupled to plasma particle motion.

• Heaviside–Lorentz unitsRelated: In these units, the equations contain no explicit 4π factors in their source terms.

• History of electromagnetic theoryBroader topic: They express the mature classical theory unifying electricity, magnetism, and electromagnetic waves.

• K. Ferdinand BraunRelated: Their prediction of electromagnetic waves underpinned the physics of wireless telegraphy.

• Lorenz gauge conditionNarrower topic: Applying the condition turns the potential equations into wave equations.

• Magnetohydrodynamic techniquesRelated: They describe the field and current dynamics coupled to conducting-fluid motion.

• Methods in electromagnetismNarrower topic: They provide the governing relations that electromagnetic solution methods must satisfy.