Multiplicative Algebra Extensions — Full Quark Cosmology

Six major extensions that turn the u/d binary algebra into a complete quark cosmology. (1) Flavor Ladder: q_f = u^a · d^b — every quark is a point on a 2D multiplicative lattice. (2) Baryon Tensor Product: B = (q₁⊗q₂⊗q₃)★ — interactive builder for any flavor combination including Ξcc⁺⁺. (3) Density Polarity: Π(q₁)+Π(q₂)+Π(q₃)=0 — baryon stability law. (4) Generational Harmonic Ladder: H(q) = q·(ud)^k — generations as overtones. (5) White-Hole Compression: q_heavy = W(q_light). (6) Multiplicative Mass Functional: m(q) = |u^a·d^b|_ζ — Ramanujan-zeta weight bridges the lattice to measured masses.

Keywords: multiplicative, algebra, extensions, quark, cosmology, flavor, ladder, lattice, baryon, tensor, product, collapse, operator, density, polarity, stability, rule, generational, harmonic, ladder, white, hole, compression, operator, zeta, mass, functional, ramanujan, charm, strange, top, bottom, Xicc, double, charm, exotic, baryon, universal, generator, u, d, exponent, grid, generation, overtone, primal, Beck, physics