Proposed Experimental Realizations of the Angular Tetravalent Lattice: Simulating Weyl Dynamics and Topological Edge Modes

Abstract

This paper translates the Angular Tetravalent Lattice (ATLC) into concrete experimental blueprints for classical wave systems. It provides a direct mapping from the discrete non-unitary update rules to physical parameters in acoustic waveguide networks and active photonic lattices. Three modular experimental setups are proposed: A bulk lattice for simulating massless Weyl-like dynamics. A topological domain wall supporting robust unidirectional edge currents without backscattering, even under extreme (80%) spatial disorder in the idealized discrete model. An advanced extension demonstrating kinematic mass-like dispersion via geometric inertia. The work explicitly addresses the requirement for non-reciprocal nodes to break time-reversal symmetry and discusses platform-specific implementation challenges in both acoustics and photonics.