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A classical field theory is a physical theory that predicts how one or more fields in physics interact with matter through field equations, without considering effects of quantization; theories that incorporate quantum mechanics are called quantum field theories.
The topic broadly splits into equations of classical field theory and quantum field theory. Classical field equations describe many physical properties like temperature of a substance, velocity of a fluid, stresses in an elastic material, electric and magnetic fields from a current, etc. [1] They also describe the fundamental forces of nature ...
(3) The theory I propose may therefore be called a theory of the Electromagnetic Field, because it has to do with the space in the neighbourhood of the electric and magnetic bodies, and it may be called a Dynamical Theory, because it assumes that in that space there is matter in motion, by which the observed electromagnetic phenomena are produced
The series commenced with What You Need to Know (above) reissued under the title Classical Mechanics: The Theoretical Minimum. The series presently stands at four books (as of early 2023) covering the first four of six core courses devoted to: classical mechanics , quantum mechanics , special relativity and classical field theory , general ...
Like many other classical unified field theorists, Eddington considered that in the Einstein field equations for general relativity the stress–energy tensor, which represents matter/energy, was merely provisional, and that in a truly unified theory the source term would automatically arise as some aspect of the free-space field equations.
In field theory, the independent variable is replaced by an event in spacetime (x, y, z, t), or more generally still by a point s on a Riemannian manifold.The dependent variables are replaced by the value of a field at that point in spacetime (,,,) so that the equations of motion are obtained by means of an action principle, written as: =, where the action, , is a functional of the dependent ...
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Field theory (physics), a physical theory which employs fields in the physical sense, consisting of three types: Classical field theory, the theory and dynamics of classical fields; Quantum field theory, the theory of quantum mechanical fields; Statistical field theory, the theory of critical phase transitions; Grand unified theory