The development of quantum theory on a torus has a long history, and can be traced back to
the 1920s, with the attempts by Nordström, Kaluza and Klein to define a fourth spatial …

This monograph presents recent developments in quantum field theory at finite temperature.
By using Lie groups, ideas from thermal theory are considered with concepts of symmetry …

We suggest that in the framework of the Category Theory it is possible to demonstrate the
mathematical and logical dual equivalence between the category of the q-deformed Hopf …

The self-similarity properties of fractals are studied in the framework of the theory of entire
analytical functions and the q-deformed algebra of coherent states. Self-similar structures …

Thermofield dynamics has proven to be a very useful theory in high-energy physics,
particularly since it permits the treatment of both time-and temperature-dependence on an …

In electrodynamics there is a mutual exchange of energy and momentum between the
matter field and the electromagnetic field and the total energy and momentum are …

A representation theory for Lie groups is developed taking the Hilbert space, say H w, of the
w∗-algebra standard representation as the representation space. In this context the states …

Trajectories in the space of the unitarily inequivalent representations of the canonical
commutation relations are shown to be classical trajectories. Under convenient conditions …

The condensate cosmology program of group field theory has produced several interesting
results. The key idea is in the suggestion that a macroscopic homogeneous spacetime can …

A physical interpretation of the two-sheeted space, the most fundamental ingredient of
noncommutative spectral geometry proposed by Connes as an approach to unification, is …