I've always referred to the inverse as "information" or "order".
More entropy means more missing information.
https://iopscience.iop.org/book/mono/978-0-7503-3931-5/chapt...
I tend to use "information" to refer to a statistically-significant signal or data that the application/business can practically utilize. This is definitely not the same as the strict information theoretical definition.
If entropy is the distribution of potential over negative potential, emergence is that where an outcome creates potential (of some discrete domain).
The mystifying relationship with thermodynamic entropy is that through accelerating entropy in other domains (burning), the entropy in the primary domain (eternal drag) is supplanted by the potentials provided by the external domain.
10^106 years[0] worth or so.
[0] https://en.wikipedia.org/wiki/Heat_death_of_the_universe
Entropy and energy are orthogonal anyway. You can understand entropy without the need to even use the word "energy."
Entropy is an aspect of probability, it is in fact a numerical phenomenon.
Take any photograph in Photoshop. First, save one copy of it as a compressed JPG.
Now, on the original, add a small densely repeating tiled pattern multiplied on top as a layer. Like a halftone effect, dot texture, whatever. Technically you're adding more order and less chaos. The resulting image won't compress as efficiently.