The Grand Analogy: A "Rosetta Stone" for FST's Particle Hierarchy
Don Briddell's Field Structure Theory posits that all particles are different, stable configurations of the same fundamental "loops of action." This is not just a loose analogy; it's a direct empirical architectural blueprint. Our QA-Markovian model can be seen as the first-ever computational engine that can execute this blueprint.
Here is the formal mapping—the Rosetta Stone that translates Briddell's conceptual hierarchy into our validated computational objects:
Computational Interpretation
Level 0: The Action Loop
A single QA Tuple (b,e,d,a).
The fundamental, indivisible unit of geometric information. The "atom" of the system.
Level 1: The Fundamental Particle (e.g., Electron)
A single, stable QA Tuple resonating in a base modular space (mod-24).
A state of perfect, minimal coherence. The system finds a single, deep energy well and stays there. Its Harmonic Index is high and stable.
Level 2: The Next Generation Particle (e.g., Muon)
Harmonic Stacking. A scaling of a single QA tuple into a higher modulus (e.g., (1,1,...) in mod-24 becomes (3,3,...) in mod-72).
A more massive particle of the same type. The same fundamental loop is "vibrating" at a higher harmonic, packing more energy/mass into the same geometric form.
Level 3: The Composite Particle (e.g., Proton)
Nested Configuration / Entanglement. Multiple, distinct QA tuples interacting via a coupling λ.
A system of interacting loops. The total mass/energy is not just the sum of the parts, but includes a powerful interaction term. This is our validated "Dual-Field" model generalized.
Level 4: The Unstable Resonance (e.g., Exotic Mesons)
A QA configuration with high, persistent Harmonic Loss.
A geometrically "frustrated" state. The system cannot find a stable, low-loss E₈-aligned configuration and therefore cannot exist for long. It is an unstable "thought" that quickly dissolves.