The God has created a man in order that he creates that the God fails to do

Wednesday, 11 January 2012

Why only electromagnetic and gravitational interactions are in classical physics?

In fact, any system of classical physics (classical mechanics, classical field theory) is a system of fermions interacting with classical electromagnetic field and gravitational field. Why nothing more?

It is surprising that the strict mathematical formulation of relativistic mechanics (in the terms of one-dimensional submanifolds of a world manifold) describes relativistic particles interacting only with electromagnetic and gravitational fields, and nothing more, too.  An equation of motion of such a particle is a geodesic equation in a pseudo-Riemannian space with a torsion, which is a strength of an electromagnetic field.

Thus, one can conclude that space-time transformations are compatible only with gravitational and electromagnetic interactions, and no others, e.g., a scalar field.


G.Giachetta, L.Mangiarotti, G.Sardanashvily, Geometric Formulation of Classical and Quantum Mechanics (WS, 2010)
G.Sardanashvily, Relativistic mechanics in a general setting, arXiv: 1005.1212

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