On the variability of physical constants and conformal transformations

Abstract

The problem of fundamental physical constants variability is discussed on the basis of extended conformal symmetry principles including the concept of local mass variability. It is shown, in particular, that the canonical determination of conformal weights can lead, in general, to non-invariance of the known elementary charge-to-mass ratio. The introduction of active time-like and space-like conformal transformations leads also to possibility of simultaneous variations of dimensional constants without any observable changes in the evolution of the Univrse. The generally covariant method of space-time splitting for conformal renormalization of the metric is considered in terms of Lie derivatives.