Abstract
A scalable integer-based framework is disclosed for neuromorphic routing, spatial encoding, and 2D-to-3D sensory projection, operating without floating-point arithmetic (IEEE 754). The system scales the Harmonic Vector Equilibrium (HVE) integer metric via the Least Common Multiple (LCM) sequence OEIS A003418, achieving zero-phase-drift across 16-bit, 32-bit, and 64-bit hardware tiers. Memory constraints are explicitly managed: full LUT (Look-Up Table) storage for L12 and L22, and phase-accumulator-only DDS (Direct Digital Synthesis) for L42.
A native 2D-to-3D projection maps hexagonal sensor arrays directly onto a cuboctahedral 12-vector processing matrix, bypassing trigonometric transforms. A discrete attractor gradient routes phase quanta in constant time (O(1) per hop) with deterministic 150-nanosecond latency on 240 MHz RISC-V/ESP32.
This disclosure serves as defensive prior art against overly broad patents on integer-only spatial computing, zero-drift phase control, and neuromorphic Spiking Neural Network (SNN) routing, with explicit extended applications in autonomous swarm robotics, programmable metamaterials, volumetric memory, and topological quantum computing.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Lozovyi, Olexandr, "Scalable Harmonic Vector Equilibrium (S-HVE): Neuromorphic Routing and 2D-to-3D Isotropic Projections via Discrete Attractor Gradients", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/9755