Beyond TDRE: Discrete Foundations of the Resonant Ether Dynamics

TheTheoryofDynamicResonantEther(TDRE)hasbeenintroducedasacontinuous- field framework capable of generating electromagnetism, gravity, and matter solitons as emergent excitations of a unified substrate. In this work we develop the discrete foun- dations of TDRE, establishing a microscopic model of the ether based on elementary units (“eterons”) evolving on a three-dimensional lattice. Each lattice site carries nine degrees of freedom, corresponding to the nine TDRE modes: one scalar, three vectorial, and five tensorial. From this structure we construct a discrete Lagrangian, derive the Euler–Lagrange equations on the lattice, and show explicitly how the continuous TDRE Lagrangian arises as the coarse-grained limit of the discrete model. Solitons appear as stable vortex-like configurations of eterons, whose energy content defines inertial, grav- itational, and rest mass. This work provides the foundational basis for TDRE as a discrete-to-continuum emergent theory.