On the variability of physical constants and conformal transformations

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Constant, Light Speed, Plancks Constant, Covariance, Space-Time Functions, Tensors

Scientific paper

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 noninvariance of the known elementary charge-to-mass ratio. The introduction of active timelike and spacelike conformal transformations leads also to possibility of simultaneous variations of dimensional constants without any observable changes in the evolution of the universe. The generally covariant method of space-time splitting for conformal renormalization of the metric is considered in terms of Lie derivatives.

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