Intensive variables in the non-extensive thermostatistics framework

By assuming an appropriate energy composition law between two systems governed by the same
non-extensive entropy, we revisit the definitions of temperature and pressure, arising from the zeroth
principle of thermodynamics, in a manner consistent with the thermostatistics structure of the theory.
We show that the definitions of these quantities are sensitive to the composition law of entropy and
internal energy governing the system. In this way, we can clarify some questions raised about the possible
introduction of intensive variables in the context of non-extensive statistical mechanics.