A Unified Theory Integrating Quantum Mechanics, General Relativity, and Cosmology This paper presents a novel theoretical framework that unifies quantum mechanics, general relativity, and cosmology under a single governing equation: U=∫ρ(⟨s∣t⟩)Ψ(⟨t1∣t2⟩)E(f,A) dXU = \int \rho(\langle s|t \rangle) \Psi(\langle t_1|t_2 \rangle) E(f, A) \, dXU=∫ρ(⟨s∣t⟩)Ψ(⟨t1∣t2⟩)E(f,A)dX In this formulation, ρ(⟨s∣t⟩)\rho(\langle s|t \rangle)ρ(⟨s∣t⟩) represents spacetime density as a function of spatial and temporal dimensions, Ψ(⟨t1∣t2⟩)\Psi(\langle t_1|t_2 \rangle)Ψ(⟨t1∣t2⟩) describes temporal superposition, and E(f,A)E(f, A)E(f,A) accounts for resonance dynamics involving frequency and amplitude interactions. The flexible integration term dXdXdX allows the equation to adapt across different physical systems and dimensional spaces, providing a comprehensive mathematical tool for unifying the fundamental forces. A central insight of this theory is that all known forces—gravity, electromagnetism, and the strong and weak nuclear forces—are manifestations of a single unified interaction, expressed across varying dimensions. This dimensional hierarchy offers natural explanations for the emergence of dark matter and dark energy as higher-dimensional effects arising from quantized spacetime structures and temporal superposition phenomena. Key predictions of the framework include: Quantized patterns in dark matter distributions, observable through gravitational lensing and galactic rotation curves. Higher-dimensional gravitational waves, potentially detectable with advanced observatories like LISA. Resonance-driven anomalies in high-energy particle interactions, measurable in future collider experiments. By bridging quantum mechanics and general relativity within a unified framework, this theory offers a comprehensive model of physical reality and provides a pathway for resolving long-standing discrepancies in modern physics. Its flexible structure allows for application across different scales, from subatomic particles to cosmological structures, while remaining consistent with existing experimental data and observations.