I want to solicit ideas how to create a theory of a "transcendental space" where nonlinear models for such things as the weather, neurodynamics, semiotics, memetics, love, and Jungian archetypes can exist in such a way that objects implementing the models can influence each other. These are all subjects that I have found books or research papers described by nonlinear differential equations. This may be a question of metaphysics, I am not sure. I want to take the result and apply it to a science fiction book that I care to write. How would I best pose this question to the philosophy forum, if it is even admissible?
I'm not sure that philosophy.meta.stackexchange is a good place to ask "how do I phrase this for philosophy.stackexchange". I can't really make sense of your question exactly as it is, but you could try the following:
What do philosophers of science say about how models interact in theories?
What important considerations are there in constructing a theory of a "transcendental space" [who is the quote from?]. Specifically, how to develop "nonlinear models" [what does this mean?] for such things as the weather, neurodynamics, semiotics, memetics, love, and Jungian archetypes, such that the objects in each model can interact [can you give an example of interaction between models?].
All those subjects [weather, neurodynamic, etc.] have been described by nonlinear differential equations, by scholars. I'm asking on philosophy.stachexchange because it may be question about metaphysics, or maybe philosophy of science, I am not sure. What I learn, I hope to apply to a science fiction book that I'm attempting to write.
I'm not promising that the resulting question will not get closed.
You could also try https://worldbuilding.stackexchange.com/ for further help!