Time Density: A Theoretical Framework for Variability in Light Speed and Local Space-Time Behavior

We propose a novel theoretical framework introducing time density (ρt) as a scalar field representing the local density of temporal flow. This field is hypothesized to affect the effective speed of light, redshift phenomena, and gravitational coupling, offering reinterpretations for observed cosmic acceleration, CMB uniformity, and dark matter effects. We present a field equation for (ρt) , develop its implications through dimensional and metric analysis, and outline testable experimental configurations including redshift lensing and analog temporal gradients. The model maintains Lorentz invariance locally and encourages future inquiry into time as a physical medium. While exploratory, it aims to contribute to ongoing discussions in cosmological theory, reframing standard interpretations through a temporally refractive lens.