A Registered Null Prediction for K04 Defects: Pinned Fossils, Not Mobile Halo Dark Matter

Abstract

A registered negative prediction sharpening the dark-sector split: the K04 crystallisation-defect sector is a substrate-pinned fossil — a gauge-blind, durable relic of imperfect crystallisation — not the mobile collisionless halo. The prediction now rests on two independent obstructions. Topological: the protected K04 class is not a finite point-particle carrier — the conserved object is the ℤ₂ homology class of C ⊕ C_crystal, so finite misbonds are healable while protected relics are extended winding strings or walls. Dynamical: the canonical plaquette dynamics finds no zero-energy advancing move for those protected relics — the cheapest local move has positive cost, and no fixed-excess transport path was found below 48w₆ in the finite best-first search horizon — so every advancing path crosses a positive Peierls barrier, exactly like a dislocation pinned in a crystal. Two independent estimates make the pinning overwhelming: the astrophysical drive per one-cell advance at a MOND/galaxy-scale acceleration is R_drive = a(2a₀)/c² ≈ 1.6×10⁻⁴² (forty-plus orders of magnitude too small to depin), and thermal/radiative creep at today's CMB temperature is dead (3w₆/T₀ ≳ 2×10¹¹). The observational readings are all nulls: K04 defects should not comove with galaxies, form Bullet-cluster-like separated mass peaks, generate a terrestrial defect wind in clock/magnetometer networks, or behave as cold-dark-matter subhalos — the mobile halo burden transfers to the zero-mode/R4/ν_R branch. Registered as a null prediction with a precise repair price: future uses of K04 as mobile halo dark matter are internally falsified unless new canon first supplies either a finite protected K04 carrier or an exact zero-barrier wall-translation primitive with a non-vacuum gravitating shadow. A substrate-pinned, probably subdominant fossil fraction remains allowed.

Keywords

How to cite

Elliman, D. (2026). A Registered Null Prediction for K04 Defects: Pinned Fossils, Not Mobile Halo Dark Matter. Neuro-Symbolic Ltd technical report. https://doi.org/10.5281/zenodo.21251748

@techreport{elliman2026k04fossilnonmobilityprediction,
  author      = {Elliman, David},
  title       = {A Registered Null Prediction for K04 Defects: Pinned Fossils, Not Mobile Halo Dark Matter},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  doi         = {10.5281/zenodo.21251748},
  url         = {https://neusym.ai/papers/k04_fossil_nonmobility_prediction/}
}