Structural Cryptography: A Frequency-Based Signature Framework

Structural Cryptography is a novel cryptographic paradigm that leverages continuous

resonance functions to replace traditional discrete mathematical constructs like RSA and

ECC. Beyond classical message authentication, we introduce a behavior-bound signature

model, where each signature corresponds to a verifiable position in structure space and

proves compliance with a dynamic trajectory constraint. By deriving personalized struc-

ture functions from private keys and attaching zero-knowledge proofs (ZKPs), signatures

reflect not only identity but also spatiotemporal behavior. This framework enables offline,

privacy-preserving verification of actions taken by autonomous agents—such as robots or

IoT devices—without requiring surveillance or state reconstruction. We provide rigorous

security analysis, resistance to quantum attacks, and a reference implementation, posi-

tioning Structural Cryptography as the first behavior-bound, structure-anchored signature

framework offering a cryptographic foundation for verifiable autonomy and post-quantum

behavioral security.