UDCT v4.0: A Dynamic Geometric Framewor9k for the Double-Slit Paradox and Measurement Problem

This paper extends the Unified Dimensional Cohesion Theory (UDCT v4.0) to the quantum domain by replacing the probabilistic foundations of quantum mechanics with a deterministic, geometric framework.

We argue that the long-standing difficulties of quantum mechanics, including the measurement problem and the double-slit paradox, arise not from the intrinsic nature of particles, but from the structural assumption that spacetime provides a static, inert background.

By extending the dynamic compactification mechanism into the microscopic regime, we introduce a non-local temporal memory kernel and dynamic geometric back-reaction at the quantum scale. Within this framework, quantum behavior emerges as the deterministic response of localized energy densities interacting with a living, responsive higher-dimensional geometry.

This model offers a new geometric paradigm that aims to establish a physically transparent description of quantum foundations.