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, not the mobile collisionless halo. The mobility audit finds no zero-energy advancing move for a protected K04 wall (the cheapest local move costs ΔE_min = 3w₆; no fixed-excess transport path below 48w₆ in a 30,000-state search), 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 galaxy/MOND acceleration is R_drive ≈ 1.6×10⁻⁴² (forty-plus orders of magnitude too small to depin), and thermal Arrhenius creep at today's CMB temperature is dead (3w₆/T₀ ≳ 2×10¹¹). The four observational readings are all nulls: no K04 comoving with galaxies through cluster mergers (no Bullet-cluster-like offset), no collisionless K04 subhalos, no terrestrial K04 defect wind in clock/magnetometer networks, and no use of K04 as the dominant cold-dark-matter budget — that mobile halo burden is transferred to the separate zero-mode/R4/ν_R branch. The branch is internally falsified only by deriving an exact zero-barrier wall-translation primitive inside the embedded ℤ³ ensemble; merely adding a nonlocal move by hand is new canon, not this prediction. A small substrate-static 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.21067276

@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.21067276},
  url         = {https://neusym.ai/papers/k04_fossil_nonmobility_prediction}
}