Licence and contribution note / Nota sobre licencia y contribución:
\nAlthough this work is published under a CC BY licence to foster scientific collaboration, any derivative claiming to extend or modify this theory should explicity state that it is a derived version and not the original spinorial formulation of Theory F.
\nAunque este trabajo se publica bajo una licencia CC BY para fomentar la colaboración científica, cualquier obra derivada que afirme extender o modificar esta teoría deberá indicar explícitamente que se trata de una versión derivada y no de la formulación espinorial original de la Teoría F.
", "lang": { "id": "spa", "title": { "en": "Spanish" } }, "type": { "id": "notes", "title": { "de": "Anmerkungen", "en": "Notes" } } } ], "additional_titles": [ { "lang": { "id": "spa", "title": { "en": "Spanish" } }, "title": "F-theory: Complete Mathematical Formulation with V-Mode", "type": { "id": "translated-title", "title": { "de": "\u00dcbersetzter Titel", "en": "Translated title" } } } ], "contributors": [ { "person_or_org": { "identifiers": [ { "identifier": "05wx9n238", "scheme": "ror" } ], "name": "OpenAI (United States)", "type": "organizational" }, "role": { "id": "other", "title": { "de": "Andere", "en": "Other" } } } ], "copyright": "Antonio Bern\u00e1rdez Gumiel, 2025", "creators": [ { "affiliations": [ { "name": "Independent Researcher" }, { "name": "Investigador independiente" } ], "person_or_org": { "family_name": "Bern\u00e1rdez Gumiel", "given_name": "Antonio", "identifiers": [ { "identifier": "0009-0003-9346-1606", "scheme": "orcid" } ], "name": "Bern\u00e1rdez Gumiel, Antonio", "type": "personal" } } ], "dates": [ { "date": "2025-06-02", "description": "Fecha de validaci\u00f3n interna del modelo spinorial + Modo V", "type": { "id": "created", "title": { "de": "Erstellt", "en": "Created" } } } ], "description": "Abstract: This document presents the complete mathematical formulation of Theory F (Structural Fracture Theory), a unifying ontological and physical proposal based on the structural fracture of the primordial field. Starting from a general spinorial function defined on a three-dimensional network of dynamic nodes, the theory introduces five fracture modes (I–V), including Mode V as a generator and destroyer of structural nodes.
\nThrough a canonical variational action, all known physical laws —including general relativity, electromagnetism, quantum mechanics, and thermodynamics— are derived as limit cases or local manifestations of a deeper structure. The effective metric, forces, particles, and fundamental constants emerge as particular solutions of the structural network under specific conditions.
\nThe document includes postulates, axioms, spinorial formulations, detailed mathematical derivations, and empirical verification proposals, serving as a basis for future validation of the theory by the international scientific community.
\nNote: This Theory F is entirely unrelated to F-theory from string theory.
\n\n
Resumen: Este documento presenta la formulación matemática completa de la Teoría F (Teoría de Fractura Estructural), una propuesta ontológica y física unificadora basada en la fractura estructural del campo primordial. Partiendo de una función espinorial general definida sobre una red tridimensional de nudos dinámicos, la teoría introduce cinco modos de fractura (I–V), entre ellos el Modo V como generador y destructor de nudos estructurales.
\nA través de una acción variacional canónica, se derivan todas las leyes físicas conocidas —incluyendo relatividad general, electromagnetismo, mecánica cuántica y termodinámica— como casos límite o manifestaciones locales de una estructura más profunda. La métrica efectiva, las fuerzas, las partículas y las constantes fundamentales emergen como soluciones particulares de la red estructural bajo condiciones específicas.
\nEl documento incluye postulados, axiomas, formulaciones espinoriales, derivaciones matemáticas detalladas, y propuestas de verificación empírica, sirviendo como base para la validación futura de la teoría por parte de la comunidad científica internacional.
\nNota: Esta Teoría F no guarda relación alguna con la F-theory de la Teoría de cuerdas.
", "languages": [ { "id": "spa", "title": { "en": "Spanish" } } ], "publication_date": "2025-06-02", "publisher": "Zenodo", "references": [ { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Theory F: Structural Fracture Function as the Foundation of Physical Reality (First complete public version - May 2025). Zenodo. https://doi.org/10.5281/zenodo.15488130" }, { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Theory F: Structural Fracture Function as the Foundation of Physical Reality - 21 fundamental challenges of theoretical physics and the responses provided by Theory F. (First complete public version - May 2025). Zenodo. https://doi.org/10.5281/zenodo.15490321" }, { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Theory F: Structural Fracture Modes and the Hypothetical Mode V in the Emergence of Particles, Forces, and Cosmological Architecture (Versi\u00f3n v1). Zenodo. https://doi.org/10.5281/zenodo.15507713" }, { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Di\u00e1logo socr\u00e1tico sobre la Teor\u00eda Unificada F (conversaciones entre S\u00f3crates y Timeo sobre la fractura del Universo y el nacimiento de todo lo que existe) (Versi\u00f3n v1) [Computer software]. Zenodo. https://doi.org/10.5281/zenodo.15526688" }, { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Socratic Dialogue on the Unified Theory F (Conversations between Socrates and Timaeus on the Fracture of the Universe and the Birth of All That Exists) (Versi\u00f3n v1) [Computer software]. Zenodo. https://doi.org/10.5281/zenodo.15530637" }, { "reference": "Bern\u00e1rdez Gumiel, A. (2025). Teor\u00eda F \u2013 Formulaci\u00f3n Espinorial Completa (Versi\u00f3n v1). 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