Anisotropic Semi-Dirac Inertial Mass: The Spatial Encoding Hypothesis

Abstract

Recent observations of anisotropic particle behavior, most prominently semi-Dirac fermions with direction-dependent inertial mass in ZrSiS, have been interpreted strictly as band-structure curiosities. We propose the more fundamental mechanism of oscillatory spatial encoding, where particles are stable standingwave loops of spacetime, not point objects or strings moving in it. In this picture, loop geometry builds axisspecific curvature, so direction-dependent mass and velocity arise automatically. Magneto-optical and ARPES data - including the hallmark B2/3 Landau-level scaling and strong velocity anisotropy - match the model with no free parameters. By marrying higher-dimensional string-theoretic geometry to an intuitive informationtheoretic mechanism, the framework clarifies these anisotropies and eases long-standing point–string tensions.
The wider implications for unification, quantum gravity, and cosmology are speculatively noted but left for future work.