Entropy in loose terms is what you get when things break or wind down or get messy. The greater the disorder the greater the entropy or messiness and the more information needed to describe the situation. Therefore total randomness would have high entropy and a highly ordered universe with all zeros or all ones would have zero or very low entropy. Given time closed systems tend to wind down or die. As human bodies get older parts tend to malfunction and the system looses its integrity, but if the individual dies, from the point of view of the individual one would think that information was lost rather than gained. Similarly if we look at a stream of data, white noise would seem to be total gibberish devoid of information whilst total order of all ones or zeros would not contain much information either, begging the question as to whether intelligible information would need some amount of organization or structure. .
Thermodynamic systems tend to gain in entropy and loose useful energy, thus causing the system to wind down. Our physical universe can be described as such a system. Evolutionary processes can however produce living sub-systems which tend to be able to grow and/or increase in adaptive ability or intelligence. Biological systems such as living bodies require physical sustenance whilst thinking minds or personalities require information as food for thought.
Cybernetics is the study of information processing ability of self regulating systems such as living creatures. This information processing ability or ability to adapt to changes to maintain essential aspects of form can be equated with intelligence. Essentially cybernetics provides a method of comparing the apparent intelligence adaptive systems.
Common sense might suggest that only living creatures would score high in such adaptive complexity however stars and other physical systems not usually deemed to be alive can sometimes have scores suggesting they are much smarter than mere human beings. Also the level of detail depth of hierarchical focus may result in differing scores. E.g. a lynch mob might show less intelligence than its separate members, or an ants nest may appear more intelligent than an individual ant.
When it come to stars neutron stars appear more intelligent than less dense stars like our sun. More dense black holes according to quantum cosmologists such as Lee Smolin may even be more intelligent or has encoded seeds of developmental instructions which have the potential for growing intelligence of a cosmic scale. It is not necessarily the case that heavier objects always hold more information or intelligence, but it may be the case that more matter means more potential data and more data allows more intelligence.