Heru Technologies: Modeling Escape Trajectories of a Probe Trapped in an Asteroid's Gravitational Field Using SRMs and Human-GenAI Collaboration
Authors/Creators
Description
This fourth paper presents the refinement of spacecraft trajectory calculations, an endeavor enhanced through collaboration between human experts and Generative Artificial Intelligence (GenAI), both proficient in the Infinite Series with Multiple Ratios (SRMs). The study explores the challenges faced by the AIs Grok 3 and Gemini Advanced 2.5 Experimental in leveraging their advanced computational mathematics tools. Initially, the AIs were tasked with a highly complex mathematical challenge, making inferences to determine the exact time a probe could escape an asteroid’s gravitational field and the distance traveled. All necessary data were provided, including a table with a geometric cycle of accelerations spanning 7 hours. Subsequently, the author applied SRMs to validate or refute the AIs’ responses. In this second phase, only the human expert intervened, identifying errors in the predictive calculations of both Grok 3 and Gemini Advanced 2.5 Experimental. These errors were not shared with the AIs; instead, the problem was reformulated. It became clear that the AIs needed to develop and justify their answers regarding the precise time of the probe’s escape and the distance traveled during the effort. In the third phase, both AIs succeeded, with Grok 3 demonstrating a notable advantage by accurately predicting the escape time and providing a well-founded explanation of its calculations. Finally, the paper discusses the efforts of both the AIs and the human expert—the author of this article is an SRMs specialist—in achieving the solutions.
Technical info (English)
Paper 21 - França, C. R. (2025). Deep Math is proof of the viability of Self-Replicating Artificial Intelligence Machine Systems (SRAIMs) and the level of excellence of some of the leading GenAIs. Zenodo. https://doi.org/10.5281/zenodo.18049949
**************************************************************
Paper 20 - França, C. R. (2025). Overcoming the Strategic Gap: A Counterpoint to Current "Humans First" Mars Colonization Architectures and Self-Replicating Artificial Intelligence Machine Systems (SRAIMs). Zenodo. https://doi.org/10.5281/zenodo.17925369
*************************************************
Paper 19 - França, C. R. (2025). The exploratory possibilities of Mars through Artificial Intelligence Machines (AIMs) as a precursor to a civilizational milestone. (1° Version). Zenodo. https://doi.org/10.5281/zenodo.17886639
************************************************
Paper 18 - França, C. R. (2025). SRMs & Few-Step Discrete Flows: Connections between Algebraic Determinism and Probabilistic Generation. Zenodo. https://doi.org/10.5281/zenodo.17406902
****************************************************
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
*************************************
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
*****************************************************************
📌 Foundational Cryptographic Work (2018)
For readers interested in the original cryptographic concepts that inspired this research line, a foundational chapter was written in 2018 and has now been officially published on Zenodo with a dedicated DOI. This work introduces the earliest applications of the Infinite Series with Multiple Ratios (SRMs) in the field of binary perturbation cryptography.
⚠️ Note: The publication is in Portuguese, as it was originally published in a national academic book in Brazil. The author has made it available internationally for documentation and historical record purposes.
🔗 Método de criptografia Heru Technologies (2018)
(Heru Technologies encryption method: the only one in the world based on unpublished mathematical formulas and capable of encrypting with binary perturbations)
*******************************************************************************
SEVENTH PAPER. 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
*****************************************************
Dear worldwide scientific community, This is the 6th and last paper I publish to highlight the importance of Infinite Series with Multiple Ratios (SRMs) for GenAIs. The evidence in this 6th paper in 40 days, perhaps a WORLD RECORD, is a gigantic effort to show the world that there is something "NEW" and still unheard of in mathematics. In this paper 6 you will observe how no GenAI has been able to solve and the reason is simple. SRMs are not yet part of the repertoire of my favorite GenAI (Grok 3) or the others. I did what I could. I hope you like it and continue supporting and sharing my papers. Thanks to everyone!
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
PUBLISHED ON APRIL 23, 2025
**************************************************
This is the fifth paper to demonstrate the power of SRMs and GenAIs. Judging humanity's greatest invention as a "digital statistical parrot" is a grave and unprecedented mistake. My FIVE papers prove the opposite and also present Infinite Series with Multiple Ratios (SRMs), authorial formulas that enhance GenAIs and the search for AGI. The links to the other papers are below.
FIFTH PAPER - 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
************************************************************************************
I have just published the 5th paper (in 36 days) to prove the strength of SRMs and their importance for GenAI.
***********************************************************************************
THIRD PAPER - 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
****************************************************************************************
SECOND PAPER - 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
********************************************************************************************
FIRST PAPER - Mathematical Challenges for Generative AI in Computational Biology: Cell Proliferation and the Path to Living AI. Zenodo. https://doi.org/10.5281/zenodo.15033127
Files
Heru_Space_paper_IV_English_V1.pdf
Files
(1.5 MB)
| Name | Size | Download all |
|---|---|---|
|
md5:166b2e5dddbe28670b4d4469a4a5f36b
|
1.5 MB | Preview Download |