The GG‑6 Lock Cluster

Abstract

Every particle found since the 1970s was on the Standard Model's list first. 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 ledger integer K=35 with no adjustable parameter. 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 four-member cluster — a spin-2 graviton, a color-octet vector g^*, and two Dirichlet-terminated Abelian vectors (the leptophobic Z'_B and its Qi sibling) that no ordinary quark produces at tree level — the discrete modes of a non-spatial (renormalization-group) extra dimension, top-rich, dijet-friendly, and lepton-poor by derivation, beyond the reach of existing clean-channel limits. The un-suppressible member is the octet — σ×BR(t t)=8.7 fb at 13 TeV, Γ/m=0.146, interference sign fixed — sitting at — and on this paper's own calibration nominally just past — the observed edge of the ATLAS/CMS t t exclusions: 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 2.5–3.3σ per experiment, 4.1–4.7σ for an ATLAS+CMS combination with improved systematics — sensitivity approaching evidence level from existing data — and single-experiment 5σ at ≈1.3 ab⁻¹, around 2034, with halved background systematics. Because every property is pre-registered the search pays no look-elsewhere penalty, and on the same calibration the Run-3 data already recorded (≃0.5 ab⁻¹) are expected to exclude the whole band if it is empty, retiring the implementation outright. One exposure rides with the bet: against the infrared-registered Higgs, the tower's electroweak members give T = 1.7 where the fit allows 0.00±0.06, with no custodial symmetry available (O-KK-68). The mass is the bet; the LHC is the table.