  On the basis of the results of some experiments dealing with the violation of
Local Lorentz Invariance (LLI) and on the formalism of the Deformed Special
Relativity (DSR), we examine the connections between the local geometrical
structure of space-time and the foundation of Quantum Mechanics. We show that
Quantum Mechanics, beside being an axiomatic theory, can be considered also a
deductive physical theory, deducted from the primary physical principle of
Relativistic Correlation. This principle is synonym of LLI and of a rigid and
at minkowskian space-time. The results of the experiments mentioned above show
the breakdown of LLI and hence the violation of the principle of Relativistic
Correlation. The formalism of DSR allows to highlight the deep meaning of LLI
breakdown in terms of the geometrical structure of local space-time which, far
from being rigid and at, is deformed by the energy of the physical phenomena
that take place and in this sense it has an active part in the dynamics of the
whole physical process. This perspective has a far reaching physical meaning
that extends its consequences to the foundations of Quantum Mechanics according
to the interpretation of Copenhagen. It provides a 'real' explanation and
description of quantum phenomena enriching, by the concept of deformed
space-time, the realistic interpretation in terms of pilot wave and hence it
uncovers the reality hidden below the probabilistic interpretation and
dualistic nature of quantum objects.
