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Possible Divergences in Tsallis' Thermostatistics
Trying to compute the nonextensive q-partition function for the Harmonic
Oscillator in more than two dimensions, one encounters that it diverges, which
poses a serious threat to the whole of Tsallis' thermostatistics. Appeal to the
so called q-Laplace Transform, where the q-exponential function plays the role
of the ordinary exponential, is seen to save the day.Comment: Text has change
Classical and \textcolor{blue}{Quantum} Field-Theoretical approach to the non-linear q-Klein-Gordon Equation
\color{blue}{In the wake of efforts made in [EPL {\bf 97}, 41001 (2012)] and
[J. Math. Phys. {\bf 54}, 103302 (2913)], we extend them here by developing the
conventional Lagrangian treatment of a classical field theory (FT) to the
q-Klein-Gordon equation advanced in [Phys. Rev. Lett. {\bf 106}, 140601 (2011)]
and [J. Math. Phys. {\bf 54}, 103302 (2913)], and the quantum theory
corresponding to . This makes it possible to generate a
putative conjecture regarding black matter. Our theory reduces to the usual FT
for .}Comment: Title has changed. Text has change
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