The first blockchain secured by hyperbolic geometry. Post-quantum cryptography baked into the consensus layer via HypΓ encryption — not bolted on top. Built for a world where quantum computers are a threat, not a theory.
QTCL is a quantum-classical hybrid blockchain where the security model is derived not from elliptic curve assumptions — already threatened by quantum algorithms — but from the hardness of the Hyperbolic Closest Vector Problem (HCVP), a geometric problem defined over the {8,3} Poincaré disk tessellation.
Every block is an edge primitive in a depth-8 hyperbolic lattice of 159,744 edge slots. Consensus is achieved through W-state tripartite quantum entanglement, with fidelity scores broadcast by distributed oracle nodes. Proof-of-Work binds classical mining effort to the quantum oracle state — making QTCL's security simultaneously classical and quantum-hard.
HypΓ (Hyperbolic Gamma) is a purpose-built post-quantum cryptosystem developed for QTCL. It operates entirely within the non-Euclidean geometry of the Poincaré half-plane model, where the geodesic distance metric serves as the trapdoor function.
The encryption scheme — GeodesicLWE — is a hyperbolic analogue of Learning With Errors (LWE), hardened by LDPC error coupling over the tessellation's Tanner graph. Signature verification uses eigendecomposition-based matrix exponentiation with precision escalation to 210 decimal places, preventing catastrophic cancellation even under 256-bit challenge scalars.