Metaprimitive Mathematics (MPM), rooted in the Huà Hé Theory (Core-Reduction Theory), establishes a self-contained, complete mathematical universe using only two primitive elements: the origin 0 and the generative expression N=2i 3r (6m±1), i, r, m∈Z, σ∈±1. N=2i3r (6m±1), i, r, m∈Z, σ∈±1. This framework redefines 0 as the Meta-element—the void, logical false, basepoint, vacuum state, absorbing boundary, and the undecidable limit—while the expression serves as the Primitive generator, uniquely encoding every nonzero integer via the Fundamental Theorem of Arithmetic. From this minimal axiomatic foundation, the theory spontaneously reconstructs the full spectrum of modern mathematics: Number Theory: primes, congruences, Euler's φ-function, Riemann zeta function, and Dirichlet L-functions; Mathematical Analysis: limits, continuity, derivatives, integrals, power series, and Fourier transforms, all with 0 as the universal convergence boundary; Abstract Algebra: groups, rings, fields, polynomial rings, Gaussian integers, ideals, and modules; Higher Structures (developed further): topology, category theory, sheaf theory, and mathematical physics. The Core-Reduction approach demonstrates that every mathematical object is ultimately reducible to this single arithmetic kernel. By treating 0 as the "outside boundary" and the expression as the "inside generator, " MPM provides a unified, self-consistent, and generatively complete foundation for the entire mathematical cosmos.
Kang A. (Mon,) studied this question.