Conformal Relativity

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Summary If one keeps angle but drops an invariant (four-dimensional) length from an essentially Einstenian description of the world, one gets Conformal Relativity. (The invariance of angle is all that is required by the «invariance of the light cone» for physically equivalent observers). The Special Theory of Conformal Relativity studies the conformal geometry, which replaces the Lorentz geometry of special relativity, from the kinematical point of view, in a world free of force fields. The General Theory treats a world with a curvilinear conformal geometry subjected to the one condition of minimum «total» curvature. The extremal equations describe force fields which comprise, along with the familiar gravitational and electromagnetic fields, several «mesons». The General Theory is thus a unified field theory, which, because it is modelled on Einstenian relativity, is completely free from arbitrary elements. The mathematical language allows interpretation in terms of exclusively four-dimensional geometric notions.

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