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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15204637 |
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Table of Contents:
- <p>This manifesto presents a unifying proposal that connects:</p> <p>- A mathematical theory based on waves as the foundation of numbers, operations, and algebraic structures.</p> <p>- A coherent physical theory built on the redistribution of essence and the torsion of space.</p> <p>Both are articulated through a common principle: harmony as the structure of change.</p> <p>From this functional foundation, more than forty structural problems are addressed across number theory, algebraic geometry, quantum physics, and cosmology — without resorting to hypothetical entities, arbitrary constants, or singularities.</p> <p>The document develops the theoretical foundation, its applications in the three essential domains, and establishes a logical, quantized, and predictive framework that redefines the principles on which contemporary science rests.</p> <p>This manifesto lays the groundwork for a new scientific paradigm.</p> <p>---</p> <p>Links to related original works:</p> <p> </p> <p>Harmonic Primes and Generating Function</p> <p>https://doi.org/10.5281/zenodo.15204584</p> <p>Development of a resonant functional structure that enables the continuous and deterministic generation of prime numbers, revealing the internal organization of the sieve as a phenomenon of harmonic interference.</p> <p> </p> <p>Resolution of the Rational Hodge Conjecture</p> <p>https://doi.org/10.5281/zenodo.15204597</p> <p>Functional reformulation of the cohomological problem through effective algebraic cycles generated by rational functions, with a harmonic reduction that avoids singularities and technical complexity.</p> <p> </p> <p>The Dynamic Universe (currently in Spanish, translation in progress)</p> <p>https://doi.org/10.5281/zenodo.14873391</p> <p>A complete physical model based on the redistribution of essence and the accumulated torsion of space-time, explaining gravity, the other forces, dark matter, dark energy, and the expansion of the universe without additional entities.</p> <p> </p> <p>Structural Resolution of the Navier–Stokes Conjecture</p> <p>https://doi.org/10.5281/zenodo.15204595</p> <p>Reformulation of fluid behavior as a symmetry reorganization within a harmonic functional network, allowing for the existence and regularity of solutions from a structural basis.</p> <p> </p> <p>Resolution of the Birch and Swinnerton-Dyer Conjecture from a Harmonic Perspective</p> <p>https://doi.org/10.5281/zenodo.15204593</p> <p>Interpretation of the behavior of elliptic curves and their group of rational points as the expression of a resonant structure, unifying their functional analysis with global vibrational dynamics.</p> <p> </p> <p>Resolution of the Poincaré Conjecture from the Harmonic Framework</p> <p>https://doi.org/10.5281/zenodo.15204602</p> <p>Structural demonstration that the 3-sphere is the only closed, continuous, boundaryless three-dimensional network compatible with perfect angular harmony. This resolution does not require geometric smoothing but instead derives directly from a deep functional principle based on trigonometric networks.</p> <p> </p> <p>Harmonic Atlas of Mathematics</p> <p>https://doi.org/10.5281/zenodo.15204580</p> <p>Comprehensive reinterpretation of all fundamental branches of mathematics from the principles of torsion and phase. Each mathematical structure—arithmetic, algebra, analysis, geometry, combinatorics, topology—is interpreted as a manifestation of coupled vibrational modes. This document establishes the conceptual foundations of a total harmonic framework.</p>