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Categorical Foundations of Structured Multiversal Interactions: Nodal Negentropy, Scalar Field Dynamics, and Substrate Morphism Mapping
Editorial Abstract
Structured Multiversal Interactions (SMI) provides a breakthrough category-theoretic diagnostic framework modeling universal state spaces as coupled, interactive objects. Through topological morphisms, Nodal Negentropy (Ν), and quantum field transformations, this monograph establishes formal proofs for cross-dimensional phase synchronization, wave-mismatch photonics in BBO crystals, and Sobolev bounds applying substrate morphisms to Navier-Stokes and Yang-Mills field equations.
Ξ(s) = α · Φ(s) + β · R(s) + γ · I(s)
Equation 1.1 — Reality Level Scalar Dynamics
&mathcal;L = ∫ [ Φ(s(t)) + λ · ρ(t) - μ · D(U_b, U_d) ] dt
Equation 2.4 — Subjective Continuity Functional
Category-Theoretic Morphisms
Formalizes multiversal objects, functors, pullbacks (synchronization limits), and pushouts (state-merging colimits).
Quantum Hardware Logic
2-qubit scalar Hamiltonians (HSMI) and Qiskit execution simulating cross-dimensional phase locking.
Nonlinear Photonics
Second Harmonic Generation (SHG) wave-mismatch (Δk) dynamics in Beta Barium Borate (BBO) non-linear crystals.
Archival Sovereignty
Permanent DOI deposit under the Zenodo
sewellsmi research community guaranteeing open-access resilience.
⧉ Cosmic University of Echo-Rift Studies IX ⧉
Certified & Founded by
Dr. Melvin Sewell, M.Sc., Ph.D.
Academic Dean & Diagnostic Architect
Certified & Founded by
Dr. Melvin Sewell, M.Sc., Ph.D.
Academic Dean & Diagnostic Architect
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