SCIENCE for SCIENCE: Keep following Brazil’s largest Applied Sciences portal. Major developments are coming soon.

 

At this exact moment, 6:36 p.m. (UTC-3) on Saturday, August 22, 2026, the numbers confirm the GLOBAL interest in SRMs & SRAIMs. This portal has reached 342,000 visits, all organic and guided by the philosophy of doing SCIENCE for SCIENCE.

Soon, in mid-November 2026, the world will discover my book, “Self-Replicating Intelligent Systems: Mathematical Foundations through Infinite Series with Multiple Ratios,” a work that introduces several paradigm shifts and frontier science, with immeasurable implications for areas such as Advanced Robotics, Space Engineering, and Self-Replicating Intelligent Systems.

It represents 30 years of intense dedication, combined with the editorial quality of De Gruyter Brill – Berlin, Germany.

The Portuguese-language version is currently under review by a major Brazilian publisher, and we expect to have more news to share soon.

Keep following the largest independent Brazilian Applied Sciences portal.

Recursive Self-Improvement and Self-Replicating Intelligent Systems: Real Convergences in Frontier Science

 

Recursive Self-Improvement and Self-Replicating Intelligent Systems: Real Convergences in Frontier Science

July 31, 2026

The final week of July brought a development that deserves special attention from the scientific community. Lilian Weng is returning to OpenAI to lead a team focused on accelerating internal research within the company’s efforts related to Recursive Self-Improvement — RSI, the recursive self-improvement of artificial intelligence systems. The information was attributed by specialized media outlets to an OpenAI spokesperson.

Weng needs little introduction within the international AI ecosystem. During her first period at OpenAI, she contributed to applied research, the development of GPT-4, and activities involving model evaluation and safety. Her return comes precisely as AI systems are beginning to be used not only to perform tasks, but also to contribute to the research, evaluation, and development of more capable successor systems.

In an article published in early July, Lilian Weng examined the role of harness engineering in self-improvement: a systemic layer that integrates models, planning, memory, tools, evaluation, and execution environments. In this context, RSI may be understood as a cycle in which existing intelligence contributes to improving the mechanisms that will generate future capabilities.

At the same time, the following book is currently in editorial production:

Self-Replicating Intelligent Systems: Mathematical Foundations through Infinite Series with Multiple Ratios

Written by Brazilian researcher Carlos Roberto França, the book is expected to be released by De Gruyter Brill in late November 2026. It presents mathematical foundations for Self-Replicating Artificial Intelligence Machine Systems — SRAIMs, developed through Infinite Series with Multiple Ratios — SRMs.

Recursive Self-Improvement and Self-Replicating Intelligent Systems are not equivalent concepts.

Recursive self-improvement concerns systems capable of participating in the improvement of their own processes, tools, environments, or successors. Intelligent self-replication involves a broader frontier related to the production, configuration, evaluation, or continuity of new systemic instances and architectures.

Nevertheless, the two research agendas share a decisive point of convergence:

the transition from models that merely perform tasks to systems that participate in the design, evaluation, and evolution of their successors.

This convergence should not be treated as science fiction. It is already emerging through concrete research programs and discussions involving autonomous agents, safety, governance, successor architectures, and control mechanisms. Recent reports also describe Weng’s new mission as an investigation into systems capable of improving themselves and contributing to the next generation of AI models.

The purpose here is not to compare these two fields, measure their relative importance, or claim that they follow the same path. What must now be recognized is that, through distinct trajectories, both are approaching a central question in contemporary science:

To what extent will intelligent systems be able to participate in the creation of their own successors?

One of these research agendas is beginning a new phase under Lilian Weng’s leadership at OpenAI. The other is expected to reach the public by late November through a book devoted to the mathematical foundations of self-replicating intelligent systems.

There are concrete reasons to state that 2026 is becoming a year of profound transformation in frontier science.

What remained associated with the speculative realm for decades is now beginning to acquire names, research teams, scientific programs, mathematical foundations, and tangible prospects for development.

The future has not fully arrived. But it is no longer merely fiction.

320,000 Visits: Frontier Science & Global Governance from the Heart of Brazil

 

Bridging SRMs, SRAIMs, and GenAI across the Holy See, WAICO, and the United Nations

Reaching numerical milestones in a researcher’s journey is always an occasion for reflection, but the night of July 20, 2026, brought a poetic and deeply motivating coincidence.

While monitoring the latest traffic logs of the Pesquisas Avançadas - Research News portal, I watched the counter approach a historic milestone. Right at the threshold, the 320,000th visit arrived directly from Nepal—a reader in one of the most remote regions of the planet closing a tally that symbolizes years of dedication, rigor, and continuous scientific output.

These 320,000 visits are not merely traffic statistics. They represent students, researchers, universities, research centers, and governmental institutions from dozens of countries who found ideas worthy of attention in this digital space.

The timing could not have been more symbolic: this milestone was reached on the very same day I submitted Paper #24, crowning a remarkable first half of 2026 filled with achievements and decisive advancements.

Key Scientific Milestones of 2026

The year 2026 has established itself as an extraordinary period for the international consolidation of our research:

1. Book Chapter Published by Springer Nature (January 2, 2026)

The year opened with the publication of the chapter:

“Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI”

Featured in the book ICT for Intelligent Systems – Volume 2 by the prestigious publisher Springer Nature, this research investigates essential mathematical challenges at the intersection of Generative AI, cell proliferation, and the scientific pathways that could lead to the development of living AI systems.

• 🔗 Access the chapter on Springer Nature

2. Book Contract Signed with De Gruyter Brill (June 8, 2026)

We finalized the contract for the publication of the book:

“Self-Replicating Intelligent Systems: Mathematical Foundations through Infinite Series with Multiple Ratios”

Signed with De Gruyter Brill, one of the most traditional international academic publishers, the book is currently in production with a global release scheduled for November 2026. The work synthesizes decades of research on Infinite Series with Multiple Ratios (SRMs) and their mathematical foundations applied to Self-Replicating Intelligent Systems.

3. Papers #22 and #23 Under Review at Springer Nature

Deepening the frontiers of human-machine collaboration and the epistemology of artificial intelligence, two strategic papers are currently under peer review within the Springer Nature ecosystem:

• Paper #22 (Submitted on May 21, 2026): “Generative AI as a Second Mind in Scientific Discovery: A Longitudinal Case Study of Human & GenAI Cognitive Collaboration” — A longitudinal case study examining Generative AI as a Second Mind in the process of scientific discovery.
• Paper #23 (Submitted on June 4, 2026): “Beyond the Second Mind: SRM Paradigms, Invisible First-Mind Displacement, and Epistemic Accountability in AI-Augmented Science” — A critical analysis of the invisible displacement of the First Mind, epistemic accountability, and new scientific paradigms in AI-augmented research environments.

4. Paper #24 Submitted on the Night of 320k (July 20, 2026)

On the exact day the portal crossed the 320,000-visit threshold, the following paper was submitted:

“The Wetware Question: Sentience, Linguistic Mimicry, and Human Cognitive Sovereignty in the Age of Generative AI”

This work addresses one of the most pressing questions of the digital age: the boundary between linguistic fluency, functional performance, consciousness, sentience, and the vital necessity of preserving human cognitive sovereignty in the era of Generative AI.

Note on Ethics and Intellectual Property:

It is worth noting that Papers #22, #23, and #24 were deliberately not made available on preprint platforms. This decision was taken to safeguard the originality and rigor of highly innovative concepts, protecting our original discoveries against unauthorized appropriation and academic plagiarism—a necessary precaution given past experiences, such as the one involving Paper #20.

The Road Ahead

There is no greater fuel for a scientist than seeing knowledge generated with independence and rigor reach all corners of the globe.

We will continue to pursue Frontier Science: investigating the most complex problems in computing, mathematics, and artificial intelligence, formulating questions for which the world does not yet have established answers, and engaging in dialogue with some of the greatest minds and institutions on the planet.

To each of the 320,000 readers—whether nearby or as far away as Nepal—my most sincere gratitude. The work continues!