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July 6, 20260 citationsOpen Access

Topological Trit Memory: Data Storage in a Chiral Field Lattice, and the √λ Depinning Law

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WWWeslyn Cory Whitehead

Key Points

  • The aim is to explore data storage using vortex winding numbers in a chiral field lattice.
  • Executed on a 2D lattice storing balanced-ternary words as vortex winding numbers.
  • Evolved the field using a minimal local relaxation operator and a chiral tie-break.
  • Conducted eight reproducible experiments measuring various physical interactions and dynamics.
  • A diffusive-balance √λ survival law was observed, contradicting naive force-balance predictions.
  • Identified local core density as a significant factor in the dynamics of same-sign core interactions.
  • Developed a quantitative theory of depinning with a measured critical wandering angle θc≈0.24π.

Abstract

The Field-Wavefield Approach asserts that reality is a continuous field and that “objects” are stable regimes of distinguishability, not primitive substances — an ontological stance, not a computation. We make it executable. On a 2D lattice of pure direction at constant magnitude, we store a balanced-ternary word as vortex winding numbers, evolve the field under a minimal local relaxation operator (Lu) with a chiral tie-break (Ox), attack it with per-cell noise, and read the word back by counting plaquette windings — an integer topological invariant that cannot drift continuously. Eight seeded, reproducible experiments measure: a diffusive-balance √λ survival law (falsifying a naive force-balance prediction); a short-range annihilation penalty between opposite-sign cores; falsification of a proposed global |Q|² charge-confinement term; identification of local core density (not net charge or collinearity) as the true driver of same-sign weakness; and, finally, a quantitative depinning theory — the angular wandering ⟨Δθ²⟩ is measured directly, collapses onto κ·ξ²/λ across couplings (R²=0.984), and depinning occurs at a universal critical wandering θc≈0.24π, turning the survival threshold into a derived law rather than a fit. Finite-size scaling separates the bulk threshold from boundary effects. Every claim is computed and reproducible in-browser (MaiiaM Alchemist visualizer, Chiral Lattice tab) or via seeded, deterministic Node scripts — nothing here is asserted.

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Cite This Study

Weslyn Cory Whitehead (2026) studied this question.

synapsesocial.com/papers/6a4b45b2997070ff83b5b5b5https://doi.org/10.5281/zenodo.21185631
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