A geometric interpretation of SU(3) colour charge using the RGB Rubik's Cube as a physical model for quark confinement, gluon flux-tube dynamics, and the Eightfold Way — by Dr. Wayne Lundberg.
Quantum Chromodynamics (QCD) predicts that quarks are permanently confined inside hadrons — no free quark has ever been observed. The energy stored in the colour-electric flux tube between quarks grows linearly with separation, described by the Cornell potential V(r) = −κ/r + σr, where σ ≈ 0.18 GeV² is the string tension.
Yet no clean geometric picture has existed to make this intuitively visible. Standard Feynman diagrams are perturbative; lattice QCD is numerical. Neither provides a manipulable, real-time physical model.
This project proposes: the eight corners of the RGB colour cube correspond 1-to-1 with the eight first-generation Standard Model fermions. Cube face rotations are gluon exchanges. The WYE operator algebra maps SU(3) Lie algebra generators onto three cube moves: W (weak isospin), Y (hypercharge), E (generation jump).
Each vertex of the RGB colour cube carries an exact 1-to-1 correspondence with a first-generation Standard Model fermion. Cube rotations are gluon exchanges; chirality (RH/LH twist) determines particle vs. anti-particle.
The 48 symmetries of the Rubik's cube form a group that contains the SU(3) colour symmetry as a subgroup. Every face rotation is a gluon exchange operator, permuting colour charges between quark corners.
Three generators W (weak isospin → U), Y (hypercharge → R), E (generation jump → L) span the WYE algebra. Their primed counterparts (W' Y' E') produce left-handed / anti-particle moves. Sequences map directly to Singmaster notation for the cube.
The Cornell potential V(r) = −κ/r + σr drives a live chart showing string tension. Flux tube animations visualise the Gaussian width profile of the colour-electric field — narrowest at the quark endpoints, thickest at mid-span.
Each quark is decomposed into Rishon sub-constituents T (charged, +1/3) and V (neutral, 0). RH twists give RGB particles; LH twists give C̄M̄Ȳ anti-particles. The confinement phase detector classifies each run as CONFINED / DECONFINED / QGP.
Dr. Lundberg's geometric approach to QCD has evolved over decades, from early APS/DPF poster presentations through to the interactive 1QCD web platform and the RGB Gluonic Flux Cube model.
Every simulation is grounded in reproducible SU(3) symmetry logic and verifiable QCD field theory.
Research tools, visualisations, and documentation are freely accessible to any theorist or student.
Making quark confinement, flux tubes, and colour charge tangible through interactive geometry.
Open dialogue between computational physicists, mathematicians, and developers worldwide.
All tensor states are recorded server-side. Sessions can be replayed and shared as exact Rishon sequences.
From 1QCD to GUT-scale E-operator generation jumps — the algebra scales with the physics.
Cornell potential, confinement phase, flux tube width — all update in real-time with each operator injection.
Supported by researcher subscriptions and donations. No institutional funding — pure curiosity-driven science.
Enter the 1QCD Core Lab and inject WYE operators to simulate gluon exchanges,
watch confinement phases shift, and track your tensor history.