QCD must be fully reconstructed to actually be a Lie-algebraic solution.
The standard 8-λ (Gell-Mann matrix) method obeys the same mathematical rules as a Lie algebra, but QCD as practiced is not one — it has no geometric representation. The Hermitian-adjoint shortcut for anti-particles is excluded a-priori by the Harari–Seiberg causality criterion, so experimental-math extensions of the current 8-λ methods are doomed from the start. The ICT reconstruction proceeds in three stages, arrayed left to right below.
1QCD
One corner cubie replaces one λ-matrix. Each cubie carries three states ( + / 0 / − ), which handles particle, neutral, and anti-particle configurations geometrically — no Hermitian adjoint required.
Illustrates
- Tri-state cubie as the fundamental construction unit
- Causality-safe anti-particle representation
- The basic vocabulary of the constructivist picture
2QCD
Two cubies in interaction: state exchanges along shared edges model gluon-like couplings. This is where the communication problem with the standard picture becomes visible — the algebra of exchanges is constructive, not matrix-multiplicative.
Illustrates
- Edge-exchange as the interaction mechanism
- Why matrix commutators mis-count physical states
- The bridge from 1-cubie vocabulary to full geometry
3QCD
All eight corner cubies assembled: the complete geometric replacement of the 8-λ method. A genuine geometric representation — hence a genuine Lie-algebraic solution — with the proton as its first physical target.
Illustrates
- The reconstructed algebra, corners labeled c1–c8
- 3⁸ state space vs. the 8-λ adjoint shortcut
- Foundation for the Proton Video (below)
- Mass gap — knock-on from three-generations algebra
Where this program applies — and where it deliberately does not
ICT constructions apply at the QCD and QWD levels only. Nuclei belong to the QED scale; the Proton Video (below) is the flagship illustration at the QCD scale. Planck-scale geometries are strictly a-priori gedanken exercises and remain outside the working program. Each scale’s draft dev page carries its governing equations and a rough current-problems list — select them from the Fundamental-Formula slider on the landing page.
<video controls width=”720″ src=”proton.mp4″></video> — drop the file in and replace this box
Three further topics — proposal in preparation
- [ TOPIC 1 — title to be supplied ]
- [ TOPIC 2 — title to be supplied ]
- [ TOPIC 3 — title to be supplied ]
Seeking institutional funding.