Post-Quantum Cryptography Based on Stellated Tetrahedron Topology. An Alternative to NIST PQC.

The thirteenth publication of Resonance Group introduces a new class of post-quantum cryptography based on the topology of the stellated tetrahedron (49 elements, 8 vertices, 12 twist nodes, 256 ≡ 0). Unlike NIST PQC candidates (lattices, codes, multivariate equations), our system is not broken by Shor's algorithm — the inversion problem reduces to knowing the phase θ(t), not computational complexity. It uses eversion (256 ≡ 0) as a one-way function: forward transformation is simple, inversion requires the exact phase. The system provides a 20–30 year lead even against a hypothetical million-qubit quantum computer and can be implemented on existing hardware (57 Hz generator + tetrahedral resonator). Included: mathematical foundations, comparison with NIST PQC, Python prototype, and invitation for collaboration.