Jason,
First I'd like to ask a favor. In order to help others (and me) make sense out of these comments, could we keep our discussion to one thread, instead of opening up a new thread every time a new thought arises? Just use the "Reply to this thread" link after the last comment between us. It's easy. Otherwise reading through all the comments becomes much more scatter-brained. Thanks.
Second, you shoot from the hip, and you are amazingly creative in your thinking, but I try not to write any words that I cannot backup in some way. So when you say "The C-field is the particle's connection to gravity, is that right?" I'm not sure how to answer this. Not if you're thinking about the gravito-electric field, which is the acceleration that most people identify as 'gravity'. But the equations also describe a gravito-magnetic field, just as the electro-magnetic equations describe an electric field and a magnetic field. That's why I made the analogy of the (del cross C = p) with the (del cross B = j) where B is the magnetic field and j is the charge current j~qv while C is the gravito-magnetic field and p is the mass current p~mv which is also the momentum (density). But the magnetic field interacts with charge only, and since it is uncharged, it does not interact with itself, while the C-field interacts with mass (in motion) and since the field has energy it can interact with its own mass-energy. The net result is that you need to think of the magnetic field, but with the proviso that it is potentially self-interactive. It's generally safe to analogize with magnetism, but not always.
At the moment I don't make use of the intrinsic-extrinsic categorization that you ask about, so I'm unsure how to answer you. I don't see a great deal of utility in that schema, but of course I may be missing something. You ask if it's reasonable to say "I think your C-field should be in the intrinsic energy "column", and the momentum that induces the C-field should be in the extrinsic energy column." It may be reasonable. In previous essays I've discussed the particle physics implications of the C-field and the cosmological implications of the C-field, but in this essay I'm going to restrict consideration to the quantum mechanical implications of the C-field. That's complex enough for one essay.
As my last essay paragraph indicates, there's a lot packed into this essay, and it will almost certainly require more than one reading if you really want to understand the theory. I would have to read it many times myself, if I were starting from scratch. This could mean that I tried to put too much into it, but the problem is complicated and has confused people for a century, so the answer is important, and I did not feel that leaving out crucial aspects would serve any purpose.
I hope this helps a little.
Edwin Eugene Klingman