A Behavior-Bound Signature Framework Based on Resonance Functions
This repository implements a prototype for Structural Cryptography, a novel cryptographic paradigm where each signature encodes spatiotemporal behavior using continuous structure functions and zero-knowledge residual proofs.
- ✅ Structure-bound signatures:
$\phi(x)$ encodes dynamic behavior. - ✅ Residual-based verification: Only actions satisfying
$\delta(x) < \varepsilon$ are valid. - ✅ HMAC-SHA256-based parameter derivation.
- ✅ Zero-knowledge proof simulation for
$\delta$ compliance (Bulletproofs-ready). - ✅ Support for fixed vs. randomized structure functions.
- ✅ Delta tracking + matplotlib visualization.
Traditional digital signatures bind a static message to an identity. Structure Signatures go further:
A signature is only valid if it results from a compliant behavior along a structure trajectory.
This work is based on:
- [Structure Arithmetic: A Resonant Number Theory of Zeta Zeros and
$\delta(x)$ ]https://zenodo.org/records/15330643 - Post-quantum motivation, cryptographic binding, and residual analysis.
pip install matplotlib