  We are going to analyze through a first order perturbative formulation the
local loss of symmetry when a source of electromagnetic and gravitational field
interacts with an agent that perturbes the original geometry associated to the
source. As the symmetry in Abelian or even non-Abelian field structures in four
dimensional Lorentzian spacetimes is displayed through the existence of local
planes of symmetry that we previously called blades one and two, the loss of
symmetry will be manifested by the tilting of these planes under the influence
of the external agent. In this strict sense the original local symmetry will be
lost. But we will prove that the new blades at the same point will correspond
after the tilting generated by perturbation to a new symmetry. The point of
this note is to prove that the geometrical manifestation of local gauge
symmetries is dynamic. The local original symmetries will be lost, nonetheless
new symmetries will arise. There is a dynamic evolution of local symmetries.
