A Unified Layered Effective Theory Incorporating Quantum Dynamics, Curved Spacetime, String Compactification, Reciprocal Duality,Fibonacci Hierarchy, Nonlinear Chaos, Cold Dark Matter, Dark Energy, the Dark Dimension, Newton’s Hidden Classical Kernel, the MirrorMatter Sector, the Mirrored Kaleidoscope Boundary, the Non-Markovian Memory Kernel, the Boundary-Distinguishability Operator, theTripartite Boundary Coupling, the CMNOT Gate Architecture, and the SO(4)/SO(5) Kaleidoscope Transform This paper presents a formal synthesis of the Reciprocal Infinity Quantum String Theory (RIQST), a layered unified effective theory thatoriginated from a single foundational question: “What would it mean if infinity was inverted?” From that starting point — the limit expression1/∞ = 0— the framework develops reciprocal duality as a physical organizing principle and expands it into a multi-sector architecture in whichquantum dynamics, curved spacetime, string compactification, Fibonacci geometry, nonlinear chaos, cold dark matter, dark energy, a mesoscopicdark dimension, the mirror-matter sector, and the hidden classical kernel of Newtonian mechanics are treated as coupled sectors of a singlelayered system.