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A.V.Pushkin's approach based on conformal geometrodynamics (CGD) tocalculation of quantitative relations between physical quantities is presentedand analyzed. In the simplest cases of the stationary solutions to the CGDequations the approach implies separation of internal and external parts(relative to a certain boundary) from the solutions and using inversetransformations transforming the parts into each other. For thequasi-stationary (metastable) states, the possibility of the nonperturbativecalculation of their lifetimes is shown. The approach is illustrated by severalexamples. In particular, it is shown that the Dirac ``large number hypothesis''is a consequence of the approach. Also, the evaluated radiation lifetime of thefirst excited level of 2p hydrogen atom and neutron lifetime are presented.

A Conformally Invariant Approach to Estimation of Relations Between Physical Quantities