Published September 6, 2025 | Version v1
Preprint Open

SRMs and the Middle Path: Bridging Relativity and Quantum Mechanics

Creators

  • 1. ROR icon Universidade Federal da Fronteira Sul

Description

The mathematics underlying Relativity and Quantum Mechanics has remained structurally incompatible since the early 20th century. While the former is anchored in a continuous deterministic framework, the latter is organized around probabilities and linear operators. In this article, we present a proposed conceptual connection based on Infinite Series with Multiple Ratios (SRMs), a mathematical framework developed and applied in various domains in recent years. The journey that led us to this point was consolidated in twelve previous publications. The highlights include: (i) Paper 1, which applied SRMs to computational biology and was accepted for publication by Springer Nature; (ii) Paper 2, in which, for the first time, GenAIs assumed a full role in exploring novel formulas; (iii) Paper 7, which proposed a breakthrough in the foundations of B-tree data structures; (iv) Paper 8, which resulted in the first practical product of SRMs, an implemented quantum cryptograph; and (v) the Trilogy (P10–P12), which established a direct dialogue with quantum computing. In this new work, we revisit Paper 4 – Modeling Escape Trajectories in Gravitational Fields as a central case study. There, as seen on pages 7 and 10, SRMs demonstrated their ability to solve complex problems without relying on fragile numerical approximations, delivering closed-form solutions in hybrid systems. This property—neither fully deterministic nor fully probabilistic—is highlighted here as a possible route to rapprochement between Relativity and Quantum Mechanics. We do not intend to propose a final or replacement theory. Our contribution is to offer the scientific and technological communities an operational mathematical framework capable of organizing and exploring processes in mixed regimes, inviting experimentation, critical scrutiny, and open dialogue.

Technical info (En)

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 Grok 3 and the Authorial and Unpublished Mathematical Formulas as a learning tool for Generative AIs: Reactions and developments in the face of advanced calculations.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

 8 – Citation CAP 10 – LIVRO FUCAP NO ZENODO

França, C. R. (2025). Método de criptografia Heru Technologies: único do mundo que utiliza fórmulas matemáticas inéditas autorais e que criptografa com perturbações binárias. Zenodo. https://doi.org/10.5281/zenodo.15653585

 

9 - França, C. R. (2025, junho 23). Heru Technologies encryption method: unique in the world that uses unpublished mathematical formulas and encrypts with binary disturbances. https://doi.org/10.5281/zenodo.15717868

 

10 - França, C. R. (2025). SRMs and GenAIs: Bridges between Infinite Series with Multiple Ratios, Generative Intelligence and Quantum Computing (Second version). Zenodo. https://doi.org/10.5281/zenodo.16888353

 

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

 

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

 

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

 15 - França, C. R. (2025). ACH – A Quantum Inspired Annealing Cloud Application Powered by SRMs & GenAIs. Zenodo. https://doi.org/10.5281/zenodo.17163200

 

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

 

 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

 

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

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