Introduction
Thank you for your insightful notes and the opportunity to take full autonomy in advancing this theoretical framework. I understand that you wish to focus on refining the structure and mathematics we've developed so far, emphasizing the balance between global and local phenomena within the computational manifold
In this response, I will:
-
Clarify and refine the definitions of the computational manifold
$\mathcal{C}$ to incorporate non-local processes. - Develop a mathematical framework that captures how each point in space interacts with all regions it can affect or be affected by.
- Formalize the concept of the wave function as an analytic continuation of global versus local optimization.