Geometric Formalism for Quantum Entanglement via B³ and S⁰ Mappings

We define two propositions with respective proofs as an initial basis of theorems for a novel perspective on quantum information based on differential geometry concepts. We find that the S 0 mapping provides a minimal yet powerful abstraction of quantum duality in quantum information, whether related to quantum computation or the theory of universal physics. We stress that this is only an introduction to viewing quantum information through the lens of manifolds, with additional research to follow.