2,121 research outputs found
Canonical Quantization and Expanding Metrics
The canonical formalism for expanding metrics scenarios is presented.
Non-unitary time evolution implied by expanding geometry is described as a
trajectory over unitarily inequivalent representations at different times of
the canonical commutation relations. Thermal properties of inflating Universe
are also discussed.Comment: 10 pages, 2 figure
The dissipative quantum model of brain: how do memory localize in correlated neuronal domains
The mechanism of memory localization in extended domains is described in the
framework of the parametric dissipative quantum model of brain. The size of the
domains and the capability in memorizing depend on the number of links the
system is able to establish with the external world.Comment: 19 PostScript pages, in press on a special issue of Information
Science Journal, S. Kak and D. Ventura Ed
Formation and life-time of memory domains in the dissipative quantum model of brain
We show that in the dissipative quantum model of brain the time-dependence of
the frequencies of the electrical dipole wave quanta leads to the dynamical
organization of the memories in space (i.e. to their localization in more or
less diffused regions of the brain) and in time (i.e. to their longer or
shorter life-time). The life-time and the localization in domains of the memory
states also depend on internal parameters and on the number of links that the
brain establishes with the external world. These results agree with the
physiological observations of the dynamic formation of neural circuitry which
grows as brain develops and relates to external world.Comment: LaTex file, 4 figures, 19 page
Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement
A suitable deformation of the Hopf algebra of the creation and annihilation
operators for a complex scalar field, initially quantized in Minkowski
space--time, induces the canonical quantization of the same field in a generic
gravitational background. The deformation parameter q turns out to be related
to the gravitational field. The entanglement of the quantum vacuum appears to
be robust against interaction with the environment.Comment: 4 pages, to appear in Proceedings of the XXIV International
Colloquium on Group Theoretical Methods in Physics, Paris, 14-21 July 200
Understanding flavor mixing in Quantum Field Theory
We report on recent results showing that a rich non-perturbative vacuum
structure is associated with flavor mixing in Quantum Field Theory.
We treat explicitly the case of mixing among three generations of Dirac
fermions.
Exact oscillation formulas are presented exhibiting new features with respect
to the usual ones. CP and T violation are also discussed.Comment: 9 pages. Presented at the "International Conference on Flavor
Physics", Zhang-Jia-Jie, China, May 31 - June 6 200
Dark energy, cosmological constant and neutrino mixing
The today estimated value of dark energy can be achieved by the vacuum
condensate induced by neutrino mixing phenomenon. Such a tiny value is
recovered for a cut-off of the order of Planck scale and it is linked to the
sub eV neutrino mass scale. Contributions to dark energy from auxiliary fields
or mechanisms are not necessary in this approach.Comment: 10 pages, 2 figure
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