The Dynamic Formation of Spatial Dimensions in the Inner Levels of Time: A Duality-of-Time Framework for Relativity and Quantum Phenomenology

We introduce a Dual-Time Framework in which the three spatial dimensions emerge chronologically from a genuinely split-complex temporal structure composed of two hyperbolically orthogonal components of time. In this formulation, the inner (real) level discretely generates spatial configurations, while the outer (imaginary) level governs their continuous evolution. The resulting ``time--time'' geometry yields a granular space–time manifold that reduces to General Relativity when the inner-time dynamics are neglected, while providing a deeper ontological basis for discreteness, causality, and the mass–energy relation. From this framework, we derive the four foundational principles of ``Quantum Relativity'': the constancy of the speed of light, Lorentz transformations, mass–energy equivalence, and the equivalence of inertial and gravitational mass—without assuming any background or external fields. By reinterpreting the vacuum as a dynamically re-created medium, the theory offers a potential resolution to the cosmological constant problem and opens new insights into mass generation and quantum nonlocality. This formulation offers a mathematically rigorous and ontologically unified approach to quantum gravity, bridging Quantum Mechanics and General Relativity through discrete temporal geometry.