Knowledge Tensor Lock (KTL): A Heuristic Cognitive-Structural Authentication Framework

Abstract: This paper introduces Knowledge Tensor Lock (KTL), a novel cognitive-structural authentication framework. Unlike conventional mechanisms (passwords, biometrics), KTL anchors identity in the topology of a user’s private semantic associative network. We formalize cognition as a high-rank tensor and verify identity through an interactive challenge-response reconstruction of subgraph structures. Key Contributions: Formalization of the Knowledge Tensor ($\mathcal{K}$) and its graph projection ($G$). Introduction of the Spectral Sketch ($\mathcal{SS}$) for privacy-preserving structural storage. Analysis of heuristic security against AI-adaptive adversaries and model extraction. A roadmap for integrating Zero-Knowledge Proofs (ZKP) for decentralized identity. Note: This is a stabilized preprint (v1.2) intended for establishing conceptual priority in the fields of AI security and cognitive cryptography.