Six preprints updated
Six earlier preprints have new versions on Zenodo. The common thread: each claim is now stated at the strength the evidence supports.
- Lorentz Shield v2 — doi:10.5281/zenodo.23808166. Virtual Kaluza–Klein modes and a bound on the bulk length are treated explicitly; CPT protection is limited to photons, with a caveat for gravity; the octahedral (ℓ = 4) signature is now a hypothesis, not a result.
- Supergeometry v2 — doi:10.5281/zenodo.23808694. New title: Superposition as a Dynamical Consequence of Exact Geometric Equivalence. It asks the inverse question — why does a superposition arise at all — cites Bohr–Ulfbeck (1995), and states the scope: a specific superposition, not the principle of superposition.
- Clans v2 — doi:10.5281/zenodo.23811379. The 2 : 1 ratio is split into volume (octahedron : tetrahedron) and count (tetrahedron : octahedron); the effective count N_eff(n) is defined; the genealogy of cells is presented as a third way of describing the lattice.
- Two Lengths v2 — doi:10.5281/zenodo.23792248. The geometric equality R₆₆/R₆₄ = 4 is separated from the physical hypothesis r_p = 4ƛ_p (0.76σ); the 2.2 ppm gap between predictions of G is stated as 3σ; two attributions corrected.
- Two Rulers v4 — doi:10.5281/zenodo.23791984. Status of CODATA and the spread in G sourced; a statistical falsification criterion added; the proposal is called a working hypothesis.
- Mass–Radius v3 — doi:10.5281/zenodo.23792131. The octahedron-flake limit and a two-zone bound added; the identification is flagged as an assumption; the GlueX measurement discussed.
Three of them (Two Lengths, Two Rulers, Mass–Radius) also move Haramein's result to 2013, as in the [Cpr = 4 update](/diary/2026-10-29-cpr4-v5/).