Abstract
Elementary Cycles are intrinsic periodic phenomena, classical in the essence,
whose classical relativistic dynamics reproduce the complete coherence (perfect
recurrences) typically associated to the pure quantum behaviours of elementary
particles. They can be regarded as effective representations of 't Hooft
Cellular Automata. By means of Elementary Cycles physics we obtain a
consistent, intuitive, novel derivation of the peculiar quantum dynamics of
electrons in Carbon Nanotubes, as well as of Superconductivity fundamental
phenomenology. In particular we derive, from classical arguments, the essential
electronic properties of graphene systems, such as energy bands and density of
states. Similarly, in the second part of the paper, we derive the
Superconductivity fundamental phenomenology in terms of simple geometrical
considerations, directly from the Elementary Cycles dynamics rather than from
empirical aspects and effective quantities connected to the microscopical
characteristics of materials as in the standard approaches to
Superconductivity. With this approach simple geometrical considerations about
the competition between the quantum recurrence and the thermal noise allow for
a novel interpretation of the occurrence of high temperature superconductivity
and the related gauge symmetry breaking mechanism.
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