Abstract

Coulon Blowups represent a class of combinatorial and topological phenomena characterized by quadratic or higher-order relational expansions among discrete elements.

This paper formalizes these spaces and/or structures (substitutions) in a computational, categorical, and functional context.

We introduce definitions, propositions, lemmas, corollaries, conjectures, and proof sketches, alongside minimal lambda calculus and Lisp examples for function composition, enabling rigorous modeling of exponential constraint growth (n² = m) and its generalizations.

Practical and theoretical applications, counterexamples, and thought experiments are also included.