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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. In most contexts, 'classical field theory' is specifically intended to describe ...
In a general setting, classical fields are described by sections of fiber bundles and their dynamics is formulated in the terms of jet manifolds (covariant classical field theory). [23] In modern physics, the most often studied fields are those that model the four fundamental forces which one day may lead to the Unified Field Theory.
Classical electromagnetism or classical electrodynamics is a branch of physics focused on the study of interactions between electric charges and currents using an extension of the classical Newtonian model. It is, therefore, a classical field theory.
Attempts to create a unified field theory based on classical physics are classical unified field theories. During the years between the two World Wars , the idea of unification of gravity with electromagnetism was actively pursued by several mathematicians and physicists like Einstein, Theodor Kaluza , [ 19 ] Hermann Weyl , [ 20 ] Arthur ...
According to a 2023 lecture titled What Physicists Don't Know About Electromagnetism given by the theoretical physicist Hans Schantz [162] and based on the comparison of textbooks Electromagnetic Theory by Julius Stratton and Classical Electrodynamics by John Jackson, Schantz argues "today's physicists who are educated using curriculum out of ...
In physics, Kaluza–Klein theory (KK theory) is a classical unified field theory of gravitation and electromagnetism built around the idea of a fifth dimension beyond the common 4D of space and time and considered an important precursor to string theory. In their setup, the vacuum has the usual 3 dimensions of space and one dimension of time ...
In historical discussions, classical physics refers to pre-1900 physics, while modern physics refers to post-1900 physics, which incorporates elements of quantum mechanics and relativity. [1] However relativity is based on classical field theory rather than quantum field theory and is often categorized with "classical physics". [citation needed]
In mathematical physics, covariant classical field theory represents classical fields by sections of fiber bundles, and their dynamics is phrased in the context of a finite-dimensional space of fields. Nowadays, it is well known that [citation needed] jet bundles and the variational bicomplex are the correct domain for such a description.