ADLP: A Post-Quantum Cryptographic Framework from Apollonian Sphere Packing and Hyperbolic Group Theory

We introduce the Apollonian Discrete Logarithm Problem (ADLP) and construct a complete post-quantum cryptographic framework based upon it. The framework achieves 128-byte public keys and ciphertexts at all three security levels (128, 192, 256-bit post-quantum)—smaller than every current NIST standard—while maintaining measured key-generation times of 125–250 µs in Python/NumPy (projected < 3 µs in C).
All mathematical claims, protocol verifications, and performance numbers are fully reproducible from the five included open-source simulation scripts. We explicitly invite cryptanalysis.