Quantized Magnetic Field Computation in the I11 Space: A Mirror-Symmetric Discrete Alternative to Continuous Maxwell Solvers

A mirror-quantized formulation of electromagnetic fields based on the cyclic state space I_{11}. Magnetic interaction is represented through discrete fragment dynamics with algebraic mirror closure, replacing differential field equations by a state-space framework with explicit update rules. Continuous spatial fields and external excitation are coupled via generic projection operators, while material properties enter through spatial basis functions and physical units through external scaling. Energy transfer and loss emerge deterministically from mirror mismatch. The framework provides a geometry-independent, implementation-ready alternative to mesh-based electromagnetic solvers and introduces a new computational paradigm for electromagnetic systems. Contact: nmb99@outlook.de