Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2012-01-11
Physics
High Energy Physics
High Energy Physics - Theory
40, 3 figs
Scientific paper
This is the first of a series of three papers on the Principle of Conformal General Relativity (CGR), which generalizes Einstein's Principle of General Relativity (GR) by requiring action-integral invariance under local scale transformations in addition to general coordinate transformations. The idea of a conformal extension of GR was first advanced by Weyl in 1919 and fully developed by Cartan in the early 1920s. For several decades it had little impact on physics, since CGR implies that all fields have zero mass. The interest in this subject revived in the late 1960s, after the discovery that the mass of a field may result from the spontaneous breakdown of a symmetry. In this paper, the main consequences of the spontaneous breakdown of local conformal symmetry are investigated and a number of important consequences are reported. In particular: 1) CGR is possible only in 4D-spacetime; 2) CGR is equivalent to a sort of conformal-invariant GR equipped with a ghost scalar field, here called the dilation field; 3) interactions of this field with physical scalar fields result in the production of Higgs fields; 4) CGR satisfies Mach-Einstein's principle; 5) the spontaneous breakdown of conformal symmetry has the properties of a cosmological inflation process which promotes the mutual causation of spacetime-scale expansion and generation of matter.
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