Cosmic Acceleration as a Consequence of Inter-Layer Temporal Pressure: A Dynamic Solution to the Dark Energy Problem

This paper proposes a fundamental modification to the standard $\Lambda$CDM cosmological model based on Time Layer Theory (TLT). We postulate that spacetime is not a continuous linear dimension but a stratified manifold of discrete temporal layers. The differential expansion rates between these layers generate a "Temporal Slippage," creating an inter-layer friction that manifests macroscopically as a repulsive scalar pressure. Key Findings & Resolutions: Dark Energy Origin: We demonstrate that "Dark Energy" is not an exotic fluid but a geometric consequence of temporal shear stress. This pressure mimics the equation of state $w \approx -1$ without requiring fine-tuning. Initiation of Acceleration: The model predicts that cosmic acceleration initiates when matter density drops below a critical threshold, allowing layers to decouple. We derive a transition redshift of $z_t \approx 0.64$, consistent with observational constraints. Resolution of the Hubble Tension: We address the $5\sigma$ discrepancy between early-universe (Planck) and late-universe (SH0ES) measurements of $H_0$. By calibrating the viscosity of the temporal vacuum, we show that temporal slippage contributes a local expansion boost of $\Delta H_{\tau} \approx 6.6$ km/s/Mpc. Unified Framework: This mechanism simultaneously resolves the Coincidence Problem and the "120 orders of magnitude" vacuum energy discrepancy by decoupling quantum vacuum fluctuations from the effective cosmological constant.