Paper 17 - França, C. R. (2025). Pipeline SRMs and GenAIs: Nonlinear Predictive Frameworks for Drone Swarms and Mobility in Defense. Zenodo. https://doi.org/10.5281/zenodo.17220829 ************************************************** Paper 16 - França, C. R. (2025). Quantum Biology Based on SRMs: From Cell Proliferation to Cyclical Spheres of Preventive Health. Zenodo. https://doi.org/10.5281/zenodo.17188874 ************************************************* Paper 15 - França, C. R. (2025). ACH – A Quantum Inspired Annealing Cloud Application Powered by SRMs & GenAIs. Zenodo. https://doi.org/10.5281/zenodo.17163200 **************************************************************************************** Paper 14 - França, C. R. (2025). Quaternary Quantum Dynamics and SRM Algorithms: A Middle-Path Framework Beyond Qubits. Zenodo. https://doi.org/10.5281/zenodo.17095495 *************************************************************************** Paper 13: França, C. R. (2025). SRMs and the Middle Path: Bridging Relativity and Quantum Mechanics. Zenodo. https://doi.org/10.5281/zenodo.17069526 *************************************************************************** Paper 12: França, C. R. (2025). GenAIs and SRMs: A Guide to Conceptual Bridges and Practical Applications in Quantum Computing. Zenodo. https://doi.org/10.5281/zenodo.17042186 *************************************************************************** Paper 11: França, C. R. (2025). SRMs meet Schrödinger: Multiple-ratio expansions for quantum dynamics and entanglement in a timeless dialogue. Zenodo. https://doi.org/10.5281/zenodo.17017967 *********************************** Paper 10: SRMs and GenAIs: Bridges between Infinite Series with Multiple Ratios, Generative Intelligence and Quantum Computing França, C. R. (2025). SRMs and GenAIs: Bridges between Infinite Series with Multiple Ratios, Generative Intelligence and Quantum Computing. Zenodo. https://doi.org/10.5281/zenodo.16888353 ************************************************************************** 9 - PAPER 9 ORIGINAL PUBLISHED IN 2022 INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTERS IN SIMULATION VOL 16 - Heru Technologies encryption method: unique in the world that uses Unpublished mathematical formulas and encrypts with binary disturbances. França, C. R. (2025, junho 23). https://doi.org/10.5281/zenodo.15717868 1. França, C. R. (2025 p1). Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI. Zenodo. https://doi.org/10.5281/zenodo.15033127 2. França, C. R. (2025 p2). Grok 3 and the Authorial and Unpublished Mathematical Formulas as a learning tool for Generative AIs: Reactions and developments in the face of advanced calculations. Zenodo. https://doi.org/10.5281/zenodo.15066761 3. França, C. R. (2025 p3). Advanced computational mathematics and future point modeling of a predictive system: A collaborative scientific research between a human and a Generative AI. Zenodo. https://doi.org/10.5281/zenodo.15083825 4. França, C. R. (2025 p4). Heru Technologies: Modeling Escape Trajectories of a Probe Trapped in an Asteroid's Gravitational Field Using SRMs and Human-GenAI Collaboration. Zenodo. https://doi.org/10.5281/zenodo.15151423 5. França, C. R. (2025 p5). SRMs and GenAI applied to the stock market: Predictive system and projections of future points for industrial expansion and finance. Zenodo. https://doi.org/10.5281/zenodo.15252352 6. França, C. R. (2025). Predictive analytics in the Swiss pharmaceutical sector: SRMs are the right amount of mathematics for GenAIs. Zenodo. https://doi.org/10.5281/zenodo.15272636 7. França, C. (2025). Beyond Binary Trees: A Paradigm Shift in Data Search Efficiency via SRMs-Based Structures. Zenodo. https://doi.org/10.5281/zenodo.15602787

“This upload refers exclusively to Chapter 10 of the book Inovação em Segurança Pública (ISBN: 978-85-66962-11-6), originally published in 2018. The chapter presents a pioneering cryptographic method based on Infinite Series with Multiple Ratios (SRMs). DOI assigned to this chapter only.” ABSTRACT The main purpose of this article is to present a cryptographic method derived from unpublished mathematical formulas, which has come to the attention of governments and private companies. The ZK Cryptograph has gone through the most severe tests and calls attention to being created by a mathematical base unknown to the scientific world, but has already been tested by great mathematicians in Brazil and abroad. Even though it is not the main focus of this article, what is wanted is topresent the embryo of the first Latin American standard of closed or state cryptography, the understanding of the algorithms generated from the discoveries of new mathematical formulas, necessarily pass through a contextualization important area. Several mathematical concepts remain unchanged for centuries, many were never considered if they want the possibility of magnification. Typical cases, such as the ratios for geometric and arithmetical progressions, for example, which until nowmankind uses with a singular, single and fixed value. The search for new elements, new formulas, expansion of concepts such as accelerations and other magnitudes belonging to the field of kinematics, were motivational factors of the Brazilian researcher who created the Infinite Series with Multiple Ratios (SMRs), with whom the author of this article had the honor to work and assist in the creation of these new greatness of the exact sciences with numerous applications. SMRs remain unknown tohumanity until the present day, even though more than 23 years have passed since the first presentations and publication in a Brazilian technical magazine. The passion for low-level computing has made the author of this article see that SMRs have endless applicabilities in machine language, data compression, data search, and cryptography. This article presents a cryptographic method made with these mathematical elements totally unknown to humanity and with surprising results thatwill be reported here.