Triadic Mesh Dynamics: Physical Limits of Computability, Invertibility, and Cryptographic Security

Triadic Mesh Dynamics (TMD) is an ontological model of space in which information is a physical quantity and computability is determined directly by the properties of the triadic operator. This work presents a unified framework showing that TMD naturally generates three fundamental phenomena relevant to mathematics, cryptography, and information theory: Physical one‑wayness arising from the non‑unitary evolution of the triadic network and the presence of a forget step. The spectral horizon, representing an absolute physical limit of algorithmic reconstructability. The Riemann boundary of computability, providing a physical interpretation of the critical line Re(s) = 1/2 as the boundary of operator invertibility. These results demonstrate that security, complexity, and computability are not abstract mathematical constructs but physical properties of space itself. TMD thus offers a new class of cryptographic primitives based on geometric configurations in a 9‑dimensional configuration space, whose inversion is physically impossible rather than computationally expensive.