Entropy in a casual definition is the tendency of things to progress from order to disorder. There are a variety of specific definitions in different arenas of thought. For example, heat will diffuse from one side of a room to another until the entire room is roughly the same temperature. In thermodynamics then, entropy is the tendency to minimize the variation in heat energy throughout a medium. Other disciplines have their own meaning. In biology entropy might refer to the destruction of complex structures. In cosmology it might be defined to be a part of any process that is irreversible (like matter falling into a black hole). What happens when this natural entropic process is reversed, just slightly?
Unfortunately, the general concept of entropy is not always well defined in a technical sense, but it has captured the imagination of many scientists and natural philosophers.
I am thinking about a region of anti-entropy (or negative-entropy, if you prefer) which is a place where there is a tendency of things to progress from disorder to order. There are many interpretations of what it would mean if we lived in a strongly anti-entropic world, but these interpretations are typically tied to a specific technical concept that ends up being difficult to use in a worldbuilding context.
One classic interpretation of anti-entropy under the order/disorder paradigm would be a shattered vase spontaneously reforming itself, or a spilled mug of coffee spontaneously reforming and up-righting itself. If entropy is the spontaneous creation of disorder, then anti-entropy is the spontaneous creation of order. In the cosmology context we can imagine reversing an irreversible process. If you were to reverse the black hole process, you would see matter, energy, or even complex structures like space ships spontaneously generate and fling themselves away from their origin (AKA a "white hole"). Anti-entropic behavior under the thermodynamic concept would be spontaneous concentration of heat energy. These are neat concepts, but they're such strong strong interpretations that they would disrupt our normal understanding of life.
We never expect a broken vase to spontaneously un-shatter itself, and the inhabitants of this anti-entropic field would not either. Nor would they expect light and matter to spontaneously generate, etc. However, there is a minor tendency towards ordering the world rather than disordering. They might count on the fact that cracks in ceramics slowly fix themselves. Refrigerators are a little more efficient because thermal insulation just works a bit better. Dust might tend to clump together in corners. Kicking a pile of gravel would tend to result in a few odd stacks of pebbles.
- What kinds physics would be fudged just a little bit such that our world would look basically the same, but anti-entropic phenomena would occur?
- What kinds of phenomena would be intuitive to an inhabitant of a slightly anti-entropic environment?
- Would any major physical processes necessary for life be majorly affected?
- It might be necessary to say that small-scale local phenomena are allowed to be anti-entropic, but large scale phenomena are required to behave as normal. Could those two things be reconciled?
I'm thinking more qualitatively than hard-science answers, but those are certainly welcome. I'm also not limiting myself to the fields of science I've discussed, those are just the ones I'm more familiar with.