Just read my first ever thread on Amaranth, and had an idea...

If Amaranth is breaking free of the Godhead's dream and realising your own waking dream (reality), what is its relation to CHIM?

My thought is that they're polar opposites - to achieve Amaranth you have to break free of the Godhead, whereas in achieving CHIM you implicitly accept the Godhead's dream as reality, right down to your place in that dream and fully realise what you can do. One pole is acceptance of the Dream, one is rejection of it. They cannot exist in the same being.

Does that make sense, or am I barking up completely the wrong Tower here?

The Loveletter states that CHIM was an attempt to reach the final subgradient, though.
That's all I can come up with right now...

Vivec said:

"This is the promise of the PSJJJJ: egg, image, man, god, city, state. I serve and am served. I am made of wire and string and mortar and I accede my own precedent, world without am."

I think CHIM is the city in this and Amaranth the state.

I think you may be correct. CHIM is the stepping point, the last "level" of sub-gradiency before Amaranth, which is extra-gradient; external to the Godhead. Attaining CHIM means you're a functioning self-aware component of the grand illusion, but Amaranth means you are separate from the illusion altogether. Rather, you are the architect of your own, new illusion.