Ye's Cosmological Trajectory Horizon Model: A Kinematic Framework for the Fermi Paradox and Civilizational Isolation

Traditional approaches to the Fermi Paradox predominantly model civilizations within static three-dimensional spatial volumes. This paper introduces Ye's Cosmological Trajectory Horizon Model (Ye-CTHM), which translates planetary evolutionary timescales into dynamic kinematic travel distances across galactic space using a dual-reference coordinate mechanism. By mapping Earth's 4.5-billion-year orbital trajectory (approx. 447,000 light-years) and humanity's 10,000-year civilizational path (0.994 light-years orbital looping and 7.34 light-years galactic translation), we delineate four non-overlapping existential horizons. Drawing an analogy to biogeographical barriers (the Wallace Line), we demonstrate that cosmic silence is an intrinsic geometric consequence of kinematic trajectory separation and temporal desynchronization.