The Zulqarnayn Architecture: A Mathematically Pinned, Thermodynamically Bound Software-Defined Hardware Security Module (Phase I)

Mohammad Shahbaaz Ahmed · Zenodo (CERN European Organization for Nuclear Research) · 2026

Traditional Hardware Security Modules (HSMs) rely on physical isolation and tamper-evident mesh arrays to secure cryptographic primitives. In zero-trust, hypervisor-based, or virtualized environments, this physical continuity is stripped away. This paper presents my complete, unconditional mathematical and systemic proof for the Zulqarnayn Initium Core (ZLQ-IN-0) v6.3.0. By binding algorithmic branchless execution in Galois Field , absolute kernel-level topological air-gapping, thermodynamic decay simulations, and a sliding-window temporal lease, I have engineered an architecture that achieves verifiable cryptographic state security equivalent to physical silicon, entirely within a software substrate.

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