A consolidated technical work on SRMs, Deep Math, and self-replicating AI systems, advancing toward global publication.
Dear Community,
Entering 2026, a consistent and verifiable set of scientific milestones has been reached in the field of advanced artificial intelligence and computational mathematics.
Between December 10 and December 24, 2025, the SRAIMs–SRMs Trilogy (Papers #19, #20, and #21) was released sequentially — with Paper #19 launched on December 10, Paper #20 on December 14, and Paper #21 on December 24, Christmas Eve. Despite being published during the year-end academic recess, a period traditionally marked by reduced scientific activity, the trilogy surpassed 827 downloads within a matter of weeks, indicating rapid and organic international engagement under non-ideal visibility conditions.
On January 2, 2026, part of this research was formally consolidated with the publication of a peer-reviewed book chapter by Springer Nature, following its presentation at the 10th International Conference on Information and Communication Technology for Intelligent Systems (ICTIS 2025), held at Cornell University, New York. The chapter addresses fundamental mathematical challenges faced by Generative AI when dealing with complex, self-organizing systems.
Link 👉👉👉 - Springer Nature Book´s - ICT for Intelligent Systems
In parallel, a comprehensive technical book is currently in advanced development. The manuscript has already exceeded 360 pages and is progressing toward an estimated ~490 pages, consolidating more than three decades of research on Infinite Series with Multiple Ratios (SRMs), Self-Replicating Artificial Intelligence Machines (SRAIMs), and what is referred to as Deep Math.
The work explores how these mathematical structures enable intelligent systems to:
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operate with full decision autonomy in extreme environments,
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optimize multiple critical resources simultaneously,
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overcome classical computational scalability limits,
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and support precursor operations for the pre-colonization of Mars without direct human intervention.
The definitive edition is being prepared in technical English, aiming for global accessibility to research communities across North America, Europe, the Middle East, and Asia, where advanced studies in AI, autonomous systems, and computational mathematics are actively pursued.
As of early 2026, the project stands at a point of consolidation: peer-reviewed publication, rapid international visibility achieved in a compressed timeframe, and a mature manuscript nearing completion. Further updates will focus on the final structuring of the work and its international editorial trajectory.
