Directional Oscillation Alignment and Geometric Heat Diffusion in Graphene Dirac Fluids A Quantitative USP Interpretation of Wiedemann–Franz Law Violation

Ultraclean graphene experiments near the Dirac point show strong violations of the Wiedemann–Franz law, where the ratio between thermal and electrical conductivity deviates from the classical Lorenz constant. This work presents a quantitative interpretation within the USP Field Theory framework, where electrical conduction and heat transport emerge from two distinct oscillatory transport mechanisms. Electrical conduction is associated with directional oscillation alignment along lattice corridors, producing coherent propagation of charge carriers. In contrast, thermal transport arises from multidirectional geometric diffusion of oscillatory energy, which spreads across available lattice pathways without requiring directional phase locking. The document introduces a directional coherence index to quantify the strength of oscillatory alignment and derives a modified Lorenz ratio formulation. A two-channel transport model is also developed to illustrate how coherent and diffusive transport pathways combine to produce experimentally observed Lorenz ratio reductions. Graphene’s two-dimensional lattice corridors amplify directional coherence while simultaneously constraining volumetric heat redistribution, naturally producing the observed electrical–thermal decoupling in the Dirac fluid regime. The model further predicts that Lorenz ratio suppression should scale with effective transport dimensionality, with stronger deviations expected in lower-dimensional systems. Explicit falsification criteria are provided, including tests comparing Lorenz-ratio deviations across materials of different dimensionalities and correlations with nonlocal transport signals. Graphene Dirac fluids therefore provide a natural experimental platform for testing oscillatory corridor transport predictions within the USP Field framework.