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This theoretical paper demonstrates connections between quadratic and hyperbolic projections of semiprimes, suggesting new insights into their structure.
Discrete Quadratic and Hyperbolic Projections The central viewpoint is that a semiprime admits two exact and coupled projections: a quadratic projection on the integer lattice through the P-map P(x,y) = y(x−y), and a hyperbolic projection obtained by solving the same relation for the smaller factor branch. The paper develops these two projections in parallel and shows how they are connected by discrete radical dynamics, nearest-square structure, and parity-based phase.
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Rolf-Peter Rieger (2026) studied this question.
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