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Theoretical analysis reveals the Riemann critical line as a physical stability boundary in triadic mesh dynamics, indicating a mechanical basis for complex spectra.
This work reconstructs the mechanical line connecting Fourier’s harmonic decomposition, Riemann’s complex spectrum, and the physical stability horizon emerging in Triadic Mesh Dynamics (TMD). It shows that the Riemann critical line is not a mathematical curiosity but the geometric shadow of a physical invariant — the Kovac Spectral Horizon (KSH). By linking analytic structure with spatial mechanics, the study provides a unified interpretation of the critical line as the boundary between stable, chaotic, and collapse regimes of the triadic mesh. The result is a synthesis of two centuries of mathematical and physical development, revealing that the horizon Riemann glimpsed is a physical object arising naturally from triadic dynamics.
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Aleš Kováč (2026) studied this question.
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