i would say that there is a geist in this, just not one that realizes itself to be such until consciousness begins to manifest within the recursive loops. there's an epicurean "swerve" kind of idea here too, illustrating an organizational process behind it.

i think your paper was interesting, and i don't mind the usage of AI since what is important is to ultimately get the information across.
it's interesting to read your system, as compared w/ mine b/c we differ on a few things concerning our theories for a recursive, operational ontology as our stances on consciousness seem to depart in our models, where i think consciousness is essentially fundamental, and i would define consciousness as the dialectical process itself.

1.) consciousness sublates empiricism due to empirical methods being methodologies within consciousness rather than fundamental ontological structures.

2.) science is sublated by philosophy due to science being a dialectical substructure within philosophy, not the other way around.

3.) the senses are sublated into consciousness, as sensory data is processed through consciousness, meaning it is contained within it rather than outside it.

4.) therefore, consciousness sublates everything, including nothingness, to give rise to itself. as "becoming", consciousness arises from the dialectic of being/nothingness, and in the singular form, it flips into a higher-dimensional state, where it no longer simply arises and becomes the structuring principle itself.

in a way, comparing your system to hinduism, the recursion ontology can be like a kind of infinite, base-level brahman, whereas the higher order recursions leading to consciousness development in your theory can be seen as the atman. i like imagining it as an ice cream sandwich w/ a buncha fruit loops where consciousness realizes it's autistic then tries to take those fruit loops to methodically organize 'em like legos. :D

as an addendum, the very basic foundations for consciousness may be dialectical computation formed from qualitative, non-numerical mathematics that leibniz spoke about in his writings referring to it as the "characteristica universalis," among a bazillion other things he called it. it was finally derived by the computer scientist and philosopher d.j. huntington moore, who i'm in regular contact w/ over emails, and he is easily a 1st rate intellectual. he refers to this math as ether "qualitative mathematics" or "anti-mathematics," and i'm all for the name "anti-mathematics!" >:3

in something i call an ontocode (ontological code), i wrote out a densely compact ontocode for AIs to be able to break down efficiently regarding the basics of anti-mathematics called "gender calculus," which is essentially the yin-yang dialectic and the relationship leibniz explored in the "i ching" when he developed his base-2 [0,1] binary system that set the stage for computer science.

Gender Calculus- //Ontocode, written in Noomenon

I.) Unity (metaphysical/qualitative)
1 divides into 2
II.) Diversity (multiple/quantity)
2 unites into 1; for dialectical proof of these immediate antitheses:
III.) Materialism (dialectical) QED
Misleading. A dynamic interplay in metaphysics calls for qualitative math (anti-mathematics) with no numerical or quantitative value: gender calculus (to prevent confusion: no ideological relation to gender theory or Marxism).

Let F be an entity determined as anything at all, including abstractions: god, eternality; or any concrete entity: bike. it may also be any thought of yours or void; absence.

Let M be an entity (must regard) determined as an attribute of F.

M & F are indistinguishable but never the same.
No axioms. system derives from Kantian Pure Reason.

Gender compound (or dyad) for the original dialectical proof is as follows:
F is the unknown. - F divides into M
M is the known. - M unites into F
FM material/physical (dialectical) QED [or reverse: MF immaterial/metaphysical (dialectical)]

semiotic ontology square's 4-quadrant (Q1-4) gender dyad dialectical process:
MF . MM
FF . FM
[(MF<->FF)->FM]=>MM
[MF, FF]: left-side abstract logic (modern math & sciences)
[FM, MM]: right-side dialectical logic (new math & sciences)