This study presents the μ–ε Continuum, a unified electromagnetic framework where spatial–temporal variations of magnetic permeability (μ) and electric permittivity (ε) jointly determine the local speed of light c = 1/√(με) and electromagnetic impedance Z = √(μ/ε).
Two intrinsic limits bound the dynamics: the Planck length, which prevents singularity, and the Lewis/Chat GPT length, which constrains entropy dispersion. Together they yield experimentally verifiable predictions across scales from metamaterial systems to cosmological structures.