Inside the Dyadic Shell Framework for Semiprime Arithmetic - by Arsen Khachatryan, SibarS Labs

Explore the frontier of computational number theory and cryptanalysis with this deep dive into the Dyadic Shell Framework. Developed by Arsen A. Khachatryan (SibarS Labs - www.sibars.net), this research introduces a novel structural approach to studying odd semiprimes—the building blocks of RSA encryption. Instead of traditional factorization methods, this framework utilizes 2-adic valuation properties, modular admissibility filters, and dyadic shell geometry to diagnose the internal structure of large integers. The framework includes extensive computational data, featuring open-source Python scripts and over one gigabyte of experimental logs from tests on RSA-896 and ROCA-style keys. While current experiments highlight the challenges of discovering hidden structures through bounded screening, this work serves as an exploratory mathematical program for the next generation of number theory research. All papers and data are available via Zenodo for community verification and study. Links to the Papers: Paper 1 (Theoretical Framework): https://doi.org/10.5281/zenodo.20350133 Paper 2 (Screening & Results): https://doi.org/10.5281/zenodo.20484456 #Cryptography #NumberTheory #RSA #Mathematics #ComputerScience #Factorization #CyberSecurity #OpenScience #SibarSLabs