What began at Cornell University under the ICTIS 2025 Conference (Springer Nature) has now reached
Cupertino through Apple’s App Store — a historic fusion of science, mathematics, and innovation.
The SRMs & GenAIs research line, authored by Prof. Carlos França and Gabriel Altman (OpenAI),
transcends academic borders to become a living ecosystem of educational and scientific applications.
Each app reflects decades of dedication, connecting generative intelligence, quantum computing, and biological reasoning.
SRMs & GenAIs & Quantum Computing — From Cornell University to Cupertino, 2025.
Nesta tarde de 7 de novembro de 2025, a Apple Inc. aprovou oito aplicativos científicos da Heru Technologies, consolidando a ponte entre pesquisa científica e tecnologia educacional. O destaque é o HCP – Heru Cell Proliferation, baseado no paper apresentado na Cornell University (ICTIS 2025 / Springer Nature). Abaixo segue a lista completa dos aplicativos aprovados, todos inspirados na teoria das SRMs & GenAIs & Quantum Computing.
| Aplicativo | Link direto / Ícone |
|---|---|
| 🧬 HCP – Heru Cell Proliferation | Ver na App Store |
| ♾️ Ciclo Hamiltoniano Interativo | Ver na App Store |
| 📈 Progressões Matemáticas | Ver na App Store |
| 🔢 Fatores Primos de um Número | Ver na App Store |
| 🧮 Geometria Total | Ver na App Store |
| ❤️ ECG – Escala de Coma Glasgow | Ver na App Store |
| ⚛️ ACH – Quantum Inspired | Ver na App Store |
| 📊 Md_dvp_GTED_UFFS – Medidas de Dispersão | Ver na App Store |
| 🎯 LREG – Regressão Linear | Ver na App Store |
| 🧩 Sistemas e Equações Lineares | Ver na App Store |
Cada aplicativo é um fragmento de uma jornada científica que começou em 1996 e agora atravessa as fronteiras entre Matemática, Biologia Computacional e Computação Quântica. A Heru Technologies agradece à App Store Review e à comunidade científica por este marco histórico.
SRMs & GenAIs & Quantum Computing – Heru Technologies, 2025.
What began at Cornell University during the ICTIS 2025 Conference (hosted by Springer Nature) has now reached Cupertino through Apple’s App Store. This marks a historic bridge between academic science and global technology — a living testimony of how mathematics, biology, and generative intelligence converge into one unified field.
Led by Prof. Carlos França (Heru Technologies / GTED-UFFS) and Gabriel Altman (OpenAI), the SRMs & GenAIs research evolves from theoretical foundations to applied innovation, integrating Quantum Computing, Computational Biology, and Generative Intelligence. Each approved app embodies years of research and symbolizes a paradigm shift in human–AI collaboration.
| Application | App Store Link |
|---|---|
| 🧬 HCP – Heru Cell Proliferation | View on App Store |
| ♾️ Interactive Hamiltonian Cycle | View on App Store |
| 📈 Mathematical Progressions | View on App Store |
| 🔢 Prime Factors of a Number | View on App Store |
| 🧮 Geometria Total | View on App Store |
| ❤️ ECG – Glasgow Coma Scale | View on App Store |
| ⚛️ ACH – Quantum Inspired | View on App Store |
| 📊 Md_dvp_GTED_UFFS – Measures of Dispersion | View on App Store |
| 🎯 LREG –Line Regression | View on App Store |
| 🧩 Systems and Linear Equations | View on App Store |
SRMs & GenAIs & Quantum Computing — Heru Technologies 2025
From Cornell University to Cupertino 🌎
Dear community,
Paper 2: 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.
This paper has been crowned with the seal of
quality and recognition from the international scientific community.
It has now surpassed one thousand downloads
— becoming the second preprint in
the SRMs series to achieve this distinction.
Paper 1,
already exceeding 2K downloads,
was presented by me at ICTIS 2025 –
Cornell University – Springer Nature, and undoubtedly marked the
beginning of this current research phase that I started back in 1996.
Nearly three decades of recognition
from universities in Brazil and Canada, along with many other
achievements already shared across the portals GTED and Heru
Technologies, have brought us to this moment.
I sincerely hope this milestone will draw the attention of the App Store Review team.
I have submitted 13 apps, 11 of which remain in the review queue
for several weeks.
The Heru Math app, directly
inspired by this Paper 2, presents SRM-based challenges that are complex even
for Generative AI systems (GenAIs).
The app has been under testing since September 30, 2025, currently in its 5th version (submitted October 17, 2025), and still awaits
publication.
Here lies a valuable opportunity for the reviewers: Challenge 1 is fully
solved in this very Paper 2 — already downloaded and studied by more
than 1,000 researchers worldwide.
The remaining challenges will demand intellectual
strength and deep understanding of the peculiarities of the Infinite Series with Multiple Ratios (SRMs).
Once again, I express my gratitude to the Zenodo Platform / CERN Switzerland, as well as to everyone who has already recognized the power of SRMs & GenAIs & Quantum Computing — each, within their own cognitive time.
The link to the paper is in the image below.
Dear community,
The path of Computer Science has always pointed toward the reduction of steps.
In 2017, with the Heru Search Method (HSM), we introduced a deterministic model based on SRMs capable of replacing Binary Trees and surpassing the long-standing O(log n) paradigm.
Eight years later, in 2025, researchers from Apple Inc. and Ohio State University presented Few-Step Discrete Flow-Matching (FS-DFM), applying the same principle within the probabilistic domain of information generation.
The complementarity between HSM and FS-DFM is remarkable, unveiling a unified axis of computational efficiency:
The transformation of traversal into a jump.
📘 Access Paper 18 to understand what we have been demonstrating since 2017 — and what is now being echoed across laboratories in the United States.
Link on image below 👇👇👇
Dear Community,
I'm proud to present my second app published in the Apple Store, available for iPhones and iPads. The challenge involves controlling a fully functioning robotic arm using SRMs and GenAIs. So far, no human has succeeded, and only two strong GenAIs have succeeded. Take on the challenge alone (preferably) or with any AI and solve the DeepMath_SRMs challenges. The link is available, free of charge, in the image below. The app is bilingual (PT/EN).
SRMs & GenAIs Trilogy – The Quantum Path to the Apple Store
Led by the SRMs, joined by GenAIs and Quantum Computing, the concepts came to life in color and code.
Today, ACH – Quantum Inspired stands at the door of the Apple Store, marking Heru Technologies’ official entry into the world of the apple.
Science, art and purpose united in a single touch.
APP ACH – quantum inspired (IOS) -
Link in the image below 👇👇👇
Dear Community,
Only five days after the release of Paper 16, we proudly announce the publication of Paper 17:
This achievement sets a scientific record in our SRMs & GenAIs research journey, expanding applications from mathematical foundations to real-world critical domains such as drone swarms, autonomous mobility, and defense systems.
The SRMs once again prove their versatility and disruptive potential, reinforcing their position as a universal predictive framework for nonlinear dynamics.
Link in the image below.
Dear Community,
We are pleased to announce that researcher and author Carlos Roberto França has had his Chapter 8, "Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI," accepted and is now in the final proofreading phase by Springer Nature, one of the most respected publishers in academia.
Book: ICT for Intelligent Systems – Vol. 2. Springer Nature
DOI: 10.1007/978-981-95-1357-4
Chapter 8: Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI
Link in the image below 👇👇👇
Scientific Pillar (Paper 16):
At the same time, França unveils Paper 16, which introduces the SRM-Bioelectric
framework and inaugurates the concept of SRM Quantum Biology — a
disruptive field with potential impact ranging from regenerative medicine to
the future of Biological Quantum Computers.
Technological Pillar (iOS):
Completing this momentum, França also confirms that the first version of
SRM-based applications is now in production for iOS (Apple Store),
consolidating the transition from theory to globally accessible solutions.
Closing:
With 16 scientific articles published, one application already launched, and
growing recognition across continents, Carlos França and Heru Technologies
reaffirm their commitment to position SRMs as a global scientific and
technological landmark.