Temporal Density as a Rate-Based Foundation for Quantum Gravity: A Comprehensive Framework

This preprint introduces Temporal Density (TD), a bounded scalar field representing local rates of state transitions, as a rate-based alternative to conventional time in quantum mechanics and general relativity. TD resolves the time problem, reproduces relativistic and gravitational time dilation, avoids singularities, and provides falsifiable predictions across laboratory, astrophysical, and cosmological systems. The framework offers a unified, operationally grounded approach to quantum gravity without quantizing spacetime.