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The GG-6 Lock Cluster

A Non-Spatial Kaluza–Klein Resonance near 3.85 TeV as the Standing LHC Falsifier of GG-Theory

v20.0 · August 21, 2026 · 216 pages

Abstract

Every particle discovered since the mid-1970s — the W and Z, the top, the Higgs — was on the Standard Model's list before it was found. This paper is about the first particle that is not on that list. GG-Theory derives, rather than fits, a new mass scale: the lock cluster at M_lock= 12 M_Ple^-35≃3.849 TeV, fixed by the integer K=35 of the OGN-5 ledger with no adjustable parameter anywhere in the chain. The same number over-constrains the electroweak scale, v=M_lock(2/5)³≈246 GeV: two known scales, one integer, nowhere to hide. At that mass the theory places a three-member cluster — a spin-2 graviton, a color-octet vector g^*, and a leptophobic Z'_B: the discrete modes of a non-spatial (renormalization-group) extra dimension — with derived couplings that are top-rich, dijet-friendly, and lepton-poor, so existing clean-channel limits do not touch it. The un-suppressible member is the octet: σ×BR(t t)=8.7 fb at 13 TeV, Γ/m=15%, with a theorem-fixed interference sign. It sits exactly at the current ATLAS/CMS t t exclusion frontier: the prediction is being tested now. A full simulation anchored to the ATLAS Run-2 analysis (Part VIII) turns this into a calendar. A dedicated reanalysis of data already on tape carries an expected 2.7–3.7σ per experiment, and 4.6–5.2σ for a combined ATLAS+CMS analysis with improved systematics — five-sigma discovery from existing data is a live possibility; failing that, single-experiment 5σ luminosity is on tape during 2032. Because mass, width, rate, sign, and angular shape are all pre-registered, the search pays no look-elsewhere penalty — and a null result at 2 ab⁻¹ retires the implementation outright. The mass is the bet; the LHC is the table.

Keywords

  • geometry–gauge locking
  • Kaluza–Klein particles
  • non-spatial extra dimensions
  • scale dimension
  • phase dimension
  • Randall–Sundrum
  • ATLAS
  • CMS
  • HL-LHC
  • spin-2 resonance
  • top-antitop resonances
  • trigger-level analysis
  • data scouting
  • falsifiability

Cite this preprint

BibTeX
@misc{ArisakaP1,
  author       = {Arisaka, Katsushi},
  title        = {The GG-6 Lock Cluster},
  year         = {2026},
  note         = {GG-Theory preprint P1, version v20.0},
  url          = {https://preprints.arisaka-gg.org/p1-kk/}
}
Plain text
K. Arisaka, “The GG-6 Lock Cluster”, GG-Theory preprint P1, v20.0 (August 21, 2026). https://preprints.arisaka-gg.org/p1-kk/

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