Idea in one line. The Triad Model proposes that a physical, discrete internal lattice—built from repeating “Triad-dimer” units—underlies both spacetime and the known particles. The same eight-gluon subunits that assemble quarks and leptons also organize photons and the weak bosons; spacetime itself behaves as an active lattice that can reconfigure as energy and matter move.
What’s new since the 2023 summary.
- Physical (not regulator) lattice: The lattice has ontic status in an internal space; it is not a numerical crutch added to spacetime.
- Unified substructures: Quarks and leptons arise from Octon-based Dyads/Triads; leptons saturate internal color ports (explaining their lack of strong interactions).
- Chirality & families: “Locking” terms in the lattice select which cyclic order couples to the weak force, reproducing the familiar left-handed pattern and organizing neutrino/lepton families.
- Second generation worked out: Strange and charm appear as small, specific perturbations of a nine-site motif, with clear rules for how swaps/penalties shift masses and mixings.
- Field-theory backbone: Explicit 3D Lagrangian/Hamiltonian formulations (with discrete-gradient bond terms and number-operator penalties) make the assumptions auditable.
- Cosmo-gravity hooks: Variations in lattice “flavor” can act like an effective cosmological term; torsion-regularized black-hole cores and an ultralight axion sea are explored as falsifiable hypotheses.
How it could be tested (near-term examples).
- Collider flavor searches: Narrow, low-mass scalar resonances in rare B→K X, X→μ⁺μ⁻ channels (targets for LHCb and Belle II).
- Light-shining-through-walls axion tests: Predictive windows for photon→axion→photon regeneration in current cavity/magnet setups.
- Precision structure: Tiny discrete spectral substructures and polarization-dependent asymmetries in production/scattering that would not appear in a purely continuum model.
- Neutrino sector: Specific patterns tied to “locking” that constrain oscillation parameters and sterile-like behavior.
Status. The Triad Model is exploratory but testable. Its value lies in making sharp, checkable claims that can be confirmed—or tightly bounded—by ongoing collider, astrophysical, and precision experiments. The forthcoming “Ladder” manuscript will be published in late 2025 and details the formal construction, assumptions, and predicted signatures. Feedback and independent cross-checks are welcome.