Ranvier:
(About defining concepts in terms of the way they're measured and quantified)
Of course it's sensible and it applies very nicely in particular set of circumstances. Classical mechanics is invaluable in measuring our physical reality or what we call objects and their interaction.
Are you saying that it only applies to particular circumstances, like the circumstances that are normally referred to as "classical mechanics"? If so, I'd have to disagree with you there. I'd say it applies to all physical circumstances. It's perhaps even more important when we start to look at circumstances that are far removed from direct human experience, like those covered by Quantum Mechanics and Relativity. After all, how else can you meaningfully define anything in the context of empirical science?
However, in order to think of the Universe in terms of unified concept that applies to "the large" as well as "very small" we must think in different concepts that apply to both "dimensions".
If you mean different from concepts that are defined in terms of measurement/observation, then I disagree again. Whether we're considering the very big, the very small or the medium-sized, the ultimate arbiter of our theories is what is observed or measured.
When you start thinking about other states of matter: liquid, gas, plasma, or Bose–Einstein condensates, then mass or volume become inadequate.
Mass and volume are relevant concepts to all the states of matter that you've mentioned there. I would note that volume is an inherently macroscopic, statistical type property, like temperature, pressure, density, entropy etc.
I can't stress enough that we can't perceive energy directly, only change in energy states.
What do you mean by "perceive directly"? If I look at an object am I perceiving it directly or am I perceiving it indirectly as a result of photons interacting with my retina which I assume to have been emitted or reflected from the object? Or even more indirectly via electrical impulses in my optic nerve which I assume to be caused by those photons? Does it matter?
For instance, a car battery has an electrical potential of 12V that can be used to do "work" but if we short it out it becomes just a useless object that still has tremendous amount of energy potential locked in in the molecular and atomic structure.
I don't get the relevance of this.
Density is a measure of amount of mass per volume, anisodensity is a measure of energy distribution or particle-waves that change behavior as we move within space. I still haven't found a good way to explain anisodensity but imagine our atmosphere that changes in pressure as we move closer to Earth but same "air" (nitrogen, oxygen, noble gasses) would behave differently in vacuum of space.
I don't understand how this definition of anisodensity works. What are the units of anisodensity? How would I go about measuring the anisodensity of the contents of the room I'm in now? What kind of instrument would I use?