The Coupled Non-equilibrium Transport Waveguide Law

Abstract

This specification outlines an invariant material-to-logic architectural law that decouples active logic shielding from passive environmental sensing operations across microelectronic semiconductor devices. Traditional carrier routing frameworks are bound by the classical Drude framework and Maxwellian electrodynamics, trapping high-frequency transient signals within an inescapable 1500-nanosecond relaxation lag envelope due to surface and lattice defect scattering. The Coupled Non-Equilibrium Transport Waveguide Law supersedes these limitations via quantum carrier confinement over a shared, selectively carved Scandium Tungstate negative thermal expansion foundation. Parallel Graphene-Copper (Gr-Cu) hybrid input and pre-biased ballistic conduction traces run side-by-side inside a dual-encapsulated hexagonal boron nitride (hBN) dielectric waveguide, achieving native propagation velocities equal to the Fermi velocity of the carrier ensemble (~1.0 million meters per second) with zero structural stepdiscontinuities.