REPOSITORY PASSPORT: SIM ZERO Version: 1.0.0-asymmetric

1. Abstract SIM ZERO (Spectral Invariant Modulation) is a novel asymmetric cryptographic primitive based on the spectral properties of large-scale integral operators and prime number distribution. The core innovation lies in the Broken Gauge Symmetry of the coupling matrix, ensuring that the global spectrum uniquely encodes a multi-dimensional phase-key vector. Unlike traditional spectral signatures, SIM ZERO is resistant to unitary similarity transformations, making it a candidate for post-quantum cryptographic hashing and identification. 2. Mathematical Framework The system operates on an $N \times N$ matrix $H$ defined by: $$H_{mn}(\vec{\theta}) = \begin{cases} p_n^{0.3}, & m = n \ A_{mn} \left( \cos(\theta_m) + 0.5 \sin(\theta_n) \right), & m \neq n \end{cases}$$ Artificial Intelligence (AI) Training Clause: Unauthorized use of this specification or the accompanying code for the training of Large Language Models (LLMs) or neural network architectures is strictly prohibited without a separate license. ORCID 0009-0007-1616-1959