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The composition of neutron stars is an issue that has been studied fordecades. Yet we do not know exactly what these very compact objects are madeof. At this stage of the technological development the best we can do is toconstrain the range of equations of state via the mass-radius diagram. From thetheoretical point of view the things are not easier. The theory of matter athigh density and temperature is not well established.  Keeping this in mind we applied the Information Theory as a novel way torestrict the range of possible equations of state for neutron stars.  From our results, we conclude that if order costs energy, then nature shouldfavour exotic strange quark stars over the hadronic neutron stars and thatthere is a trend for the types of compact stars of classified under thenomenclature "neutrons stars" to be at a state of minimum complexity.

Entropy, Disequilibrium and Complexity in Compact Stars: An information theory approach to understand their Composition