Non-extensive statistics in stringy space-time foam models and entangled meson states

Understand

The possibility of generation of non-extensive statistics, in the sense of Tsallis, due to space-time foam is discussed within the context of a particular kind of foam in string/brane-theory, the D-particle foam model .

• The latter involves point-like brane defects (D-particles), which provide the topologically non-trivial foamy structures of space-time.
• A stochastic Langevin equation for the velocity recoil of D-particles can be derived from the pinched approximation for a sum over genera in the calculation of the partition function of a bosonic string in the presence of heavy D-particles.
• The string coupling in standard perturbation theory is related to the exponential of the expectation of the dilaton.