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The possible distinction between inanimate and living matter has been ofinterest to humanity since thousands of years. Clearly, such a rich questioncan not be answered in a single manner, and a plethora of approaches naturallydo exist. However, during the last two decades, a new standpoint, ofthermostatistical nature, has emerged. It is related to the proposal ofnonadditive entropies in 1988, in order to generalise the celebratedBoltzmann-Gibbs additive functional, basis of standard statistical mechanics.Such entropies have found deep fundamental interest and uncountableapplications in natural, artificial and social systems. In some sense, thisperspective represents an epistemological paradigm shift. These entropiescrucially concern complex systems, in particular those whose microscopicdynamics violate ergodicity. Among those, living matter and other living-likesystems play a central role. We briefly review here this approach, and presentsome of its predictions, verifications and applications.

An introduction to nonadditive entropies and a thermostatistical approach of inanimate and living matter