One of the major difficulties of modern science underlies at the unification
of general relativity and quantum mechanics. Different approaches towards such
theory have been proposed. Noncommutative theories serve as the root of almost
all such approaches. However, the identification of the appropriate passage to
quantum gravity is suffering from the inadequacy of experimental techniques. It
is beyond our ability to test the effects of quantum gravity thorough the
available scattering experiments, as it is unattainable to probe such high
energy scale at which the effects of quantum gravity appear. Here we propose an
elegant alternative scheme to test such theories by detecting the deformations
emerging from the noncommutative structures. Our protocol relies on the novelty
of an opto-mechanical experimental setup where the information of the
noncommutative oscillator is exchanged via the interaction with an optical
pulse inside an optical cavity. We also demonstrate that our proposal is within
the reach of current technology and, thus, it could uncover a feasible route
towards the realization of quantum gravitational phenomena thorough a simple
table-top experiment.Comment: 7 pages, 3 figures, In press (Nuclear Physics B
The thermodynamic properties of semiclassical hard-body fluid mixtures are studied. Explicit expressions are given for the free-energy, equation of state and virial coefficients of the classical hard convex-body fluid mixtures. The numerical results are discussed under different conditions. The agreement with the exact data is good in all cases. The first-order quantum corrections are also studied. The quantum effects depend on the condition, shape parameters L11* and L22*, and concentrations x1 and x2 in general and increase with an increase of packing fraction eta, in particular.
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