This paper develops a critical–propositive reading of Eckhard Hitzer et al.’s Survey of New Applications of Geometric Algebra and confronts its unifying formal program with the foundational and recent bibliography of the Theory of Objectivity (TO). The central claim is methodological and ontological: Geometric Algebra (GA) is treated not as an ultimate foundation of reality, but as a highly effective operational language whose intelligibility presupposes deeper logical conditions. Under TO’s modal discipline, the remarkable integrative power of GA—its capacity to unify vectors, bivectors, multivectors, rotations (rotors), metrics, and symmetry operations within a single geometrically transparent calculus—appears as a symptom of an underlying ontological necessity rather than a merely contingent formal success.
\nThe paper explicitly states that TO does not intend to replace contemporary physics or cosmology. Instead, TO is proposed as a necessary logical, ontological, and scientific basis for constructing any model coherent with a possible universe, given the modal necessity of its Seven Absolute Truths (Seven Absolute Axioms). This framing is supported by the independent AI-assisted assessment and the testability/predictability program discussed in Cabannas & Silva (2025).
\nA key outcome of the analysis is a structured map of compatibilities and productive tensions between GA and TO. Compatibilities are developed especially around: (i) the primacy of boundaries and distinction (TO Absolute Truth IV), (ii) the field-relational uniqueness of elements (aura/field, TO Absolute Truth II) interpreted through the graded structure of multivectors, and (iii) relational observability (TO Absolute Truth V), emphasizing that “observation” in TO is structurally relational (not anthropocentric) and functions as a condition of full existence. The main tension concerns GA’s frequent implicit presupposition of a pre-existing geometric space, whereas TO frames spatiality as a late emergence within its cosmological eras—thus positioning GA as an operational language that becomes semantically applicable from the Era of Logical Tracks onward.
\nThe article also integrates TO’s inducer effects—the Expansive Inducer Effect (EIE) (axioms IV–V) and the Reductive Inducer Effect (EIR) (axioms IV–V–VI)—as principles for the emergence, stabilization, and convergence of structures. In this context, GA is proposed as a suitable formal vehicle for representing emergent orientations, tangencies, planes, and invariants without collapsing ontological precedence.
\nA dedicated section articulates the Perfect Sphere theorem of TO—an eternal, static logical sphere prior to time, space, and matter, with 64 straight logical parts on its maximal circumference and 2048 logical parts on its total surface, each capable of individually tangential contact with a plane. The paper stresses that this structure is not aesthetic choice but follows from the modal necessity of the Seven Absolute Truths, as detailed in Cabannas & Silva (2016, 2018) and corroborated by the graphical/logical presentations in Cabannas & Silva (2020). GA’s capacity to formalize rotations, tangency conditions, and oriented subspaces is interpreted as formally compatible with this theorem, while TO remains ontologically prior.
\nFinally, the paper outlines a program of AI-assisted operational bridges and indirect testability, consistent with Cabannas & Silva (2025) and later TO developments (2026). It includes a propositive hypothesis that neutrinos may be phenomenic manifestations of TO plasmas, and frames this hypothesis within a disciplined methodology that seeks empirical contact through reinterpretations of data and consistency constraints rather than direct replacement of established theories. Supporting dialogue references (Heisenberg, Einstein, Bohm, Prigogine & Stengers, Penrose, Hawking, Kuhn, Weinberg) and benchmark observational/experimental domains (Bell tests, CMB parameters, gravitational waves, JWST early-structure results) are incorporated as contextual anchors for comparison and for identifying targets for indirect testing.
\nKeywords: Theory of Objectivity (TO); Geometric Algebra; Clifford Algebra; modal ontology; perfect sphere theorem; inducer effects; operational bridges; indirect testability; neutrinos; cosmological eras; AI-assisted predictability.
", "languages": [ { "id": "eng", "title": { "en": "English" } } ], "publication_date": "2026-02-22", "publisher": "Zenodo", "references": [ { "reference": "Abbott, B. P., et al. \"Observation of Gravitational Waves from a Binary Black Hole Merger\". Physical Review Letters 116 (2016): 061102. https://doi.org/10.1103/ PhysRevLett.116.061102. https://doi.org/10.1103/PhysRevLett.116.061102." }, { "reference": "Arrabal Haro, Pablo, Mark Dickinson, Steven L. Finkelstein, et al. \"Confirmation and refutation of very luminous galaxies in the early Universe\". Nature 622 (2023): 707\u2013711. https://doi.org/10.1038/s41586-023-06521-7. https://doi.org/10.1038/ s41586-023-06521-7." }, { "reference": "Aspect, Alain, Jean Dalibard, and G\u00e9rard Roger. \"Experimental Test of Bell's Inequalities Using Time-Varying Analyzers\". Physical Review Letters 49 (1982): 1804\u20131807. https: / / doi . org / 10 . 1103 / PhysRevLett . 49 . 1804. https : / / doi . org / 10 . 1103 / PhysRevLett.49.1804." }, { "reference": "Bohm, David. Wholeness and the Implicate Order. London: Routledge, 1980." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. A ESFERA PERFEITA (Coment\u00e1rio N\u00famero 9 \u00e0 Teoria da Objetividade), 2020. https://doi.org/10.5281/zenodo.17013728. https://doi.org/10.5281/zenodo.17013728." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. From Modal Axioms to Empirical Contact: G\u00f6delian Discipline, the Law of Logical Minimum, and Operational Bridges in the Theory of Objectivity. Version 2.0, 2026. https : / / doi . org / 10 . 5281 / zenodo . 18154295. https : / / doi . org / 10 . 5281 / zenodo.18154295." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. Gravity as an Emergence of Convergence Zones: A Critical\u2013Propositional Examina- tion of Information Flux Theory in Light of the Theory of Objectivity (TO). Version 1.0, 2026. https://doi.org/10.5281/zenodo.18306977. https://doi.org/10. 5281/zenodo.18306977." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. Modal Ontology and Testability: Boundaries, Convergence, and the Phenomenic Table of the Theory of Objectivity in Dialogue with Contemporary Physics and AI- Assisted Operational Bridges. Version 1.0, 2026. https://doi.org/10.5281/zenodo. 18257429. https://doi.org/10.5281/zenodo.18257429." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. Quantum Field Theory and the Properties of the Vacuum: A Critical\u2013Propositional Reading under the Modal Discipline of the Theory of Objectivity (TO). Version 1.0, 2026. https://doi.org/10.5281/zenodo.18370212. https://doi.org/10.5281/ zenodo.18370212." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. Teoria da Objetividade: Fundamentos L\u00f3gicos, Ontol\u00f3gicos e Cient\u00edficos para uma Nova F\u00edsica e Cosmologia (Di\u00e1logo com as Intelig\u00eancias Artificiais), 2025. https: / / doi . org / 10 . 5281 / zenodo . 17295496. https : / / doi . org / 10 . 5281 / zenodo . 17295496" }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. Teoria da Objetividade: terceira teoria de origem do universo, alternativa \u00e0 Teoria do Big Bang e ao Criacionismo, 2016. https://doi.org/10.5281/zenodo.17306198. https://doi.org/10.5281/zenodo.17306198." }, { "reference": "Cabannas, Vidamor, and Denivaldo Silva. THEORY OF OBJECTIVITY: Third theory of the origin of the universe, alternative to the Big Bang Theory and Creationism, 2018. https://doi.org/10.5281/zenodo. 17012791. https://doi.org/10.5281/zenodo.17012791." }, { "reference": "Einstein, Albert. Relativity: The Special and the General Theory. London: Methuen & Co., 1920." }, { "reference": "Gupta, Rajendra P. \"JWST early Universe observations and \u039bCDM cosmology\". Preprint: arXiv:2309.13100. Monthly Notices of the Royal Astronomical Society 524, no. 3 (2023): 3385\u20133395. https://doi.org/10.1093/mnras/stad2032. https://doi.org/10. 1093/mnras/stad2032." }, { "reference": "Hawking, Stephen. A Brief History of Time. New York: Bantam, 1988." }, { "reference": "Heisenberg, Werner. Physics and Philosophy: The Revolution in Modern Science. New York: Harper & Row, 1958." }, { "reference": "Hitzer, Eckhard, et al. \"Survey of New Applications of Geometric Algebra\". Mathematical Methods in the Applied Sciences (2024). https://doi.org/10.1002/mma.9575. https://doi.org/10.1002/mma.9575." }, { "reference": "Hitzer, Eckhard, et al. Survey of New Applications of Geometric Algebra (Zenodo deposit, PDF). Zenodo deposit (PDF file). 2023. https://zenodo.org/records/15043570/files/Survey% 20of % 20New % 20Applications % 20of % 20Geometric % 20Algebra % 2005Jul2023 _ zenodo.pdf?download=1." }, { "reference": "Kuhn, Thomas S. The Structure of Scientific Revolutions. Chicago: University of Chicago Press, 1962." }, { "reference": "Menci, Nicola, Anjan A. Sen, and Marco Castellano. \"The Excess of JWST Bright Galaxies: A Possible Origin in the Ground State of Dynamical Dark Energy in the Light of DESI 2024 Data\". Preprint: arXiv:2410.22940. The Astrophysical Journal 976, no. 2 (2024): 227. https://doi.org/10.3847/1538-4357/ad8d5b." }, { "reference": "Penrose, Roger. The Road to Reality: A Complete Guide to the Laws of the Universe. London: Jonathan Cape, 2004." }, { "reference": "Planck Collaboration, N. Aghanim, et al. \"Planck 2018 results. VI. Cosmological parame- ters\". Preprint: arXiv:1807.06209. Astronomy & Astrophysics 641 (2020): A6. https: //doi.org/10.1051/0004-6361/201833910. https://doi.org/10.1051/0004- 6361/201833910." }, { "reference": "Prigogine, Ilya, and Isabelle Stengers. Order Out of Chaos: Man's New Dialogue with Nature. New York: Bantam, 1984." }, { "reference": "Weinberg, Steven. The First Three Minutes: A Modern View of the Origin of the Universe. New York: Basic Books, 1993." } ], "related_identifiers": [ { "identifier": "10.5281/zenodo.17295496", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication-book", "title": { "de": "Buch", "en": "Book" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.17012790", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication-book", "title": { "de": "Buch", "en": "Book" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.17306198", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication-book", "title": { "de": "Buch", "en": "Book" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.17013728", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication-book", "title": { "de": "Buch", "en": "Book" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.18257429", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.18154295", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.18306977", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.18370212", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" }, { "identifier": "10.5281/zenodo.18209342", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" }, { "identifier": "10.1002/mma.9575", "relation_type": { "id": "cites", "title": { "de": "Zitiert", "en": "Cites" } }, "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "scheme": "doi" } ], "resource_type": { "id": "publication", "title": { "de": "Publikation", "en": "Publication" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "Theory of Objectivity" }, { "subject": "Geometric Algebra" }, { "subject": "Clifford Algebra" }, { "subject": "modal ontology" }, { "subject": "perfect sphere theorem" }, { "subject": "inducer effects" }, { "subject": "operational bridges" }, { "subject": "indirect testability" }, { "subject": "neutrinos" }, { "subject": "cosmological eras" }, { "subject": "AI-assisted predictability" } ], "title": "Geometric Algebra under Ontological Discipline: Contemporary Applications, Modal Necessity, and Operational Bridges in Confrontation with the Theory of Objectivity (TO)", "version": "1.0" }, "parent": { "access": { "owned_by": { "user": "1398261" }, "settings": { "accept_conditions_text": null, "allow_guest_requests": false, "allow_user_requests": false, "secret_link_expiration": 0 } }, "communities": { "default": "43b922bc-4942-4bbf-9270-59428e7062ef", "entries": [ { "access": { "member_policy": "open", "members_visibility": "public", "record_submission_policy": "open", "review_policy": "members", "visibility": "public" }, "children": { "allow": false }, "created": "2025-11-07T14:51:06.997845+00:00", "custom_fields": { "subjects": [ { "id": "euroscivoc:775" }, { "id": "euroscivoc:30060" }, { "id": "mesh:D008128" }, { "id": "euroscivoc:53388279" } ] }, "deletion_status": { "is_deleted": false, "status": "P" }, "id": "43b922bc-4942-4bbf-9270-59428e7062ef", "links": {}, "metadata": { "curation_policy": "The Theory of Objectivity (TO) Zenodo Community serves as an official digital repository for scholarly, philosophical, and scientific materials related to Vidamor Cabannas’s Theory of Objectivity, including publications, datasets, models, translations, and collaborative research documents.
\nIts purpose is to ensure the open, accurate, and permanent preservation of materials that contribute to the study, dissemination, and peer review of TO as a unified logical–ontological framework for understanding the universe.
\nThe mission of this community is to curate, preserve, and disseminate works that explore, develop, or critically engage with the Seven Absolute Truths and their applications to physics, cosmology, ontology, logic, mathematics, and consciousness studies.
\nThe community promotes open science, philosophical rigor, and cross-disciplinary dialogue between philosophy, mathematics, and physics.
All materials are made freely available under open-access licenses to foster transparent scientific collaboration.
The community accepts the following types of contributions:
\nMaterials must align with the general goals of advancing the academic, scientific, or logical understanding of the Theory of Objectivity.
\nTo ensure academic integrity and transparency, submissions must:
\nAll submissions undergo curatorial review by the TO Curatorial Board, consisting of editors and reviewers appointed by the group administrator (Vidamor Cabannas or a designated curator).
\nThe review process ensures that materials:
\nCurators may provide feedback or request minor revisions before acceptance. The review process is non-anonymous and non-adversarial, emphasizing collaboration and accuracy.
\nAll accepted works must be published under open-access licenses, preferably Creative Commons Attribution (CC-BY 4.0) or CC BY-NC-SA 4.0, unless otherwise justified.
All files will remain permanently accessible under Zenodo’s long-term digital preservation infrastructure.
Curators ensure compliance with the FAIR Data Principles:
\nEach record must include:
\nAdditional optional metadata:
\nAll contributions must adhere to:
\nAny detected plagiarism, falsification, or unauthorized content will result in removal of the record.
\nCurators may update records to maintain metadata accuracy, ensure compliance with open-access policies, and preserve version integrity.
\nThe Theory of Objectivity community aims to:
\nFor inquiries, collaborative proposals, or curatorial participation, please contact the community through:
\ud83c\udf10 https://www.teoriadaobjetividade.com.br
\ud83d\udcd8 Zenodo Community: Theory of Objectivity
\ud83d\udce7 Curatorial contact available via Zenodo messaging portal.
This Curatorial Policy is reviewed annually to ensure continued alignment with Zenodo, FAIR, and Open Science standards.
", "description": "We invite scholars, physicists, philosophers of science, mathematicians, and interdisciplinary thinkers to participate in the expansion, critique, and formal development of the Theory of Objectivity.\nIf possible, participate in the Curatorial Board.", "page": "The Theory of Objectivity (TO) is a comprehensive logical–ontological framework developed by Vidamor Cabannas to explain the origin and structure of the universe through a system of seven axioms known as the Seven Absolute Truths.
This community on Zenodo serves as the official open-access repository for all scholarly materials, datasets, and collaborative research related to the Theory of Objectivity.
The purpose of this community is to curate, preserve, and disseminate research that explores or expands upon the Theory of Objectivity — a theory that seeks to unite logic, mathematics, physics, and metaphysics within a single deductive system.
\nThrough open publication and collaboration, the TO Zenodo Group promotes:
\nThis repository includes:
\nAll materials follow open-access principles and are archived under DOI identifiers to ensure long-term preservation and citation integrity.
\nThe Theory of Objectivity proposes that Nothingness is a primitive mathematical essence from which all existence unfolds by logical necessity.
It seeks to provide a deductive model of the universe capable of explaining the emergence of space, time, matter, and consciousness through a coherent set of axioms — redefining the boundary between physics and philosophy.
As Cabannas affirms, “The universe does not arise from energy or matter, but from logic itself — the first cause and the final horizon of all being.”
\nResearchers, physicists, philosophers, and interdisciplinary thinkers are invited to contribute:
\nTogether, we aim to advance an open, reason-based cosmology that unites science and metaphysics in the pursuit of understanding the Whole.
\n\n
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