Models to detect scientific creativity: Why something simpler than Fréchet Metric Manifolds?

We claim that the models needed to describe scientific creativity (and, in particular, suitable to effectively detect it) have to be very sophisticated. Indeed, the process of creating original and predictive scientific theories is manifestly the most complex ever investigated by the human mind (There are also some paradoxical aspects in the action of a mind that is investigating its own way of functioning, but we are confident that it will be possible to avoid them). In mathematical physics one of the most complex state space structures is given by Fréchet Metric Manifolds. We conjecture that they will be needed to model the state of complexity of the mind of a scientist (However, we will not be surprised if an even more complex structure could be needed). The obtained models have a very important application: they are essential to design and rule the selection process that assigns a university chair (or a research grant). Recently some algorithms have been introduced to calculate some bibliometric indices. We claim that it is not reasonable to use them to evaluate the scientific quality of researchers, chair or grant holders, departments or whole universities. Instead, the only presently viable process must involve carefully designed procedures, similar to those used for forming juries. These procedures must be enforced to rule the formation and functioning of ad hoc peer committees entrusted to evaluate academic institutions and nominate professors, chairs or research grant holders. Bibliometrics and Scientometrics are too young as disciplines and therefore it is not possible yet, by means of the theoretical insight gained thanks to them, to design a more effective evaluation process. Only when game and artificial intelligence theories become sufficiently advanced will it become possible to efficiently replace selection peers committees (i.e. academic juries).