96 research outputs found
The shadows of quantum gravity on Bell's inequality
The validity of quantum mechanical operators in the presence of quantum
aspects of gravity is a subject of investigation since they may not hold true
and require generalization. One of the key objectives of the present study is
to examine the impact of such generalizations on the non-locality that is
inherent in quantum mechanics and manifests itself in Bell's inequality.
Another aspect of the study is to analyze the consequences of introducing a
non-zero minimal length for the well-established Bell's inequality. The
findings of this research are expected to contribute to the theoretical
understanding of the interplay between quantum mechanics and gravity
Quantum mechanics and geodesic deviation in the brane world
We investigate the induced geodesic deviation equations in the brane world
models, in which all the matter forces except gravity are confined on the
3-brane. Also, the Newtonian limit of induced geodesic deviation equation is
studied. We show that in the first Randall-Sundrum model the Bohr-Sommerfeld
quantization rule is as a result of consistency between the geodesic and
geodesic deviation equations. This indicates that the path of test particle is
made up of integral multiples of a fundamental Compton-type unit of length
.Comment: 5 pages, no figure
Classical and quantum spinor cosmology with signature change
We study the classical and quantum cosmology of a universe in which the
matter source is a massive Dirac spinor field and consider cases where such
fields are either free or self-interacting. We focus attention on the spatially
flat Robertson-Walker cosmology and classify the solutions of the
Einstein-Dirac system in the case of zero, negative and positive cosmological
constant . For , these solutions exhibit signature
transitions from a Euclidean to a Lorentzian domain. In the case of massless
spinor fields it is found that signature changing solutions do not exist when
the field is free while in the case of a self-interacting spinor field such
solutions may exist. The resulting quantum cosmology and the corresponding
Wheeler-DeWitt equation are also studied for both free and self interacting
spinor fields and closed form expressions for the wavefunction of the universe
are presented. These solutions suggest a quantization rule for the energy.Comment: 13 pages, 4 figure
Stabilization of internal space in noncommutative multidimensional cosmology
We study the cosmological aspects of a noncommutative, multidimensional
universe where the matter source is assumed to be a scalar field which does not
commute with the internal scale factor. We show that such noncommutativity
results in the internal dimensions being stabilizedComment: 8 pages, 1 figure, to appear in IJMP
On the thermodynamics of reconciling quantum and gravity
Is thermodynamics consistent with the quantum gravity reconciliation
hypothesis [A. G. Cohen et al. Phys. Rev. Lett. 82, 4971 (1999)], which
establishes holographic dark energy models? Here, we have attempted to address
this issue in the affirmative by concentrating on the first law of
thermodynamics
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