This white paper presents a rigorous mathematical and computational framework for Dynamic Coulon Spines, combining symplectic geometry, combinatorial topology, and category theory.

We formalize the notion of symplectic signatures (ΣS) and their functorial projections to quantum (ΣP) and combinatorial (ΣC) regimes, yielding a unified categorical apparatus.

Practical applications include market dynamics modeling, topological invariants for price lattices, and predictive algorithms based on Floer-theoretic structures.

Abstract
This white paper presents a rigorous mathematical and computational framework for Dynamic Coulon Spines, combining symplectic geometry, combinatorial topology, and category theory. 

We formalize the notion of symplectic signatures (ΣS) and their functorial projections to quantum (ΣP) and combinatorial (ΣC) regimes, yielding a unified categorical apparatus. 

Practical applications include market dynamics modeling, topological invariants for price lattices, and predictive algorithms based on Floer-theoretic structures.