🌌 Introduction

Structured Multiversal Interactions (SMI) unifies cosmology, quantum information theory, and network dynamics. This publication formalizes constants, variables, indices, and demonstrates a simulation of universes interacting.

🔬 Constants

• Multiversal cadence: Cm = H0
• Execution threshold: Te = 3H² / (8πG)
• Interaction constant: Ic = α

🧩 Variables

• Entanglement nodes: En = S(ρA) + S(ρB) - S(ρAB)
• Information flows: If(A:B) = S(ρA) + S(ρB) - S(ρAB)
• Shared landscapes: Ls = Mn

📏 Indices

• Reality Level Scalar (RLS): RLS = Ωinfo / Ωentropy
• Reality Level Analyzer (RLA): RLA(t) = ∫ (dRLS/dt) e^(-λt) dt
• Sovereignty Index Quotient (SIQ): SIQ = Elocal / Eshared

🔎 Extended Constructs

• Dimensional Scaling Factor (DSF): DSF = log(Ωinfo / Ωentropy)
• Interactive Topography (IT): IT = (V, E, W)
• Temporal Synchronization Index (TSI): TSI = (1/N) Σ cos(θi - θ̄)
• Energy Exchange Metric (EEM): EEMij = (Ei→j - Ej→i) / (Ei→j + Ej→i)
• Boundary Conditions (BC): BC = α·SIQ + (1-α)·EEM

🧮 Simulation Demonstration