Abstract

The ROSE INFINITY ABACUS is the canonical bidirectional computational engine of the Crystal Pyramid 12D Framework. It accepts any standard 4D physics or mathematics equation, promotes it through the full sedenion-CY⁴-plenum architecture via eleven immutable forward steps (dimensional assignment → Möbius-sedenion recursive closure), solves the equation exactly in the unbounded plenum, and projects the result back to a clean, testable 4D observable via eleven exact reverse steps.The Abacus is now fully integrated with the four-frequency nested harmonic architecture (f_external = 17 340.26 Hz primary driver) and the revised zero-divisor trap mapping (S₇/R₇ with E₈ Weyl reflection and liberation factor 1/3). It has been run exhaustively on all seven Clay Millennium Prize Problems; each forward pass reaches exact 12D closure while the reverse recovers the original 4D statement together with the physical mechanism that rendered the problem intractable (zero-divisor trap before Weyl rotation).The framework rests on twenty Fano-complete standing constants, the Law of Functional Unity (Φ_grav = B²/(2μ₀ρ)), and the analytic convergence of Equation 144 to exact unity (R₁₄₄ = 1.000…) proven by Yau’s theorem, the Hodge identity, and sedenion zero-divisor cancellation. Five falsifiable experimental predictions are specified, including plasma resonance enhancement at f_external and Galinstan MHD thrust-to-power ratio OU_op = 3 881.8.This corrected edition replaces all prior Transequation Matrix references and establishes immutable priority for the complete 12D architecture of physics, consciousness, and reality.



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