Thank you for reading my essay and for your comment.
While I believe that the ultimate structure - the world - is inherently mathematical, I believe that it is at a different level of abstraction (level-1) from our perceived reality (level-2). In seeking an understanding of the structure of the world, my objective has been to follow Einstein's lead and strip out all that is arbitrary or superfluous - hence my elimination of geometry, fields and restrictions on global connectivity in arriving at a generic 4-manifold (the topoverse). Time thus disappears from level-1 and first appears in level-2, as the hierarchical nesting of representations.
Assuming our perceived reality is indeed a progressively emerging representation of the world, it may prove intractable to find a comprehensive, mathematically rigorous, characterization of this representation. So we are left to develop mathematical models (level-3) that characterize aspects of perceived reality with varying degrees of fidelity.
Your "world theory" may serve as a general framework for our level-3 models of perceived reality. I am open to any models that are fully compatible with our perceptions and that are applied within their proved domain of applicability. I don't expect any model to be perfect; I will value the models that most efficiently and reliably organize our observational knowledge. Understanding the conceptual relationship of leve-3 models to the higher levels should guide our use, further development, and integration of these models.