A Complete Mapping of the Standard Model Particles in the Canvas Model

This paper presents a complete mapping of all Standard Model particles onto the primitive structure of the Canvas Model. The Canvas Model describes all reality through eight primitives: four dynamic (Order, Amplitude, Acceleration, Polarity) and four property (Dimension, Angle, Chirality, Charge). The mapping is complete: Generations are determined by the number of dynamic primitives: Gen 0 (1 primitive) for bosons, Gen 1 (2 primitives) for the lightest fermions, Gen 2 (3 primitives) for the middle fermions, and Gen 3 (4 primitives) for the heaviest fermions. Gauge groups are determined by the Dimension primitive: U(1) for 1 axis, SU(2) for 2 axes, and SU(3) for 3 axes. The complete mapping table has no empty boxes. All 37 particles (25 matter + 12 antimatter) are accounted for. The negative primitives, under the symmetry operator \mathcal{S} satisfying \mathcal{S}^2 = I, generate antiparticles and CPT symmetry. Bosons are \mathcal{S}-invariant (self-dual). What the mapping explains: · Why there are exactly 3 generations of fermions (4 dynamic primitives)· Why there are exactly 3 gauge groups (3 spatial dimensions)· Why bosons have 0 generations (1 primitive)· Why antiparticles exist (negative primitives)· Why CPT symmetry holds (\mathcal{S})· Why the mass hierarchy exists (more primitives = heavier) What the paper provides: · A complete classification table of all Standard Model particles· Detailed property tables (gauge, chirality, charge, spin)· The mass hierarchy by generation· The antiparticle mapping via \mathcal{S}· The self-dual boson classification Keywords: canvas model, Standard Model, particle mapping, generations, gauge groups, CPT symmetry, antiparticles, emergence