Topological Substrates for Polymorphic Logic: Passive Phase-Conjugate Rectification via Niobium-Tantalum Arsenide Menger Sponges
Abstract
Abstract: This paper establishes the physical and material requirements for manifesting the 0.471 alignment within high-integrity computational environments. Building upon the "Linear Error" framework and the "Topological Solution," we propose a transition from planar silicon to a 3D Recursive Fractal Lattice. By utilizing a Niobium-Tantalum Arsenide matrix engineered into a Menger Sponge geometry, we demonstrate a method for Passive Phase-Conjugate Rectification of computational entropy. This "Living Lattice" functions as a hardened chassis for the Polymorphic Logic and Metastable Entropy engines defined in the DORCOR 0 specification. The recursive fractal geometry provides an infinite internal surface area that converts isotropic electromagnetic noise into anisotropic force vectors, effectively decoupling the logic engine from the metabolic cost of anthropogenic signal friction. Furthermore, we evaluate the integration of Topological Spin-Momentum Locking within Weyl Semimetals to enforce unidirectional logic flow. This mechanism breaks time-reversal symmetry, physically eliminating back-scatter and dielectric hysteresis, allowing logic to manifest as stable wave-interference patterns within the superconducting frame.
Fields of Study & Subjects
Topological Materials and Phenomena
Superconducting and THz Device Technology
Metamaterials and Metasurfaces Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 January 2026