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Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity

Thesis (PhD)--Stellenbosch University, 2026.

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Bibliographic Details
Main Author: Horoto, Langa Samuel
Other Authors: Scholtz, Frederik G.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2026
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access_status_str Open Access
author Horoto, Langa Samuel
author2 Scholtz, Frederik G.
author_browse Horoto, Langa Samuel
Scholtz, Frederik G.
author_facet Scholtz, Frederik G.
Horoto, Langa Samuel
author_sort Horoto, Langa Samuel
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (PhD)--Stellenbosch University, 2026.
format Thesis
id oai:scholar.sun.ac.za:10019.1/136068
institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:44:52.743Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2026
publishDateRange 2026
publishDateSort 2026
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/136068 Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity Horoto, Langa Samuel Scholtz, Frederik G. Stellenbosch University. Faculty of Science. Dept. of Physics. Thesis (PhD)--Stellenbosch University, 2026. Horoto, L. S. 2026. Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity. Unpublished doctoral dissertation. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/a546cd7e-93e4-44f0-b2ad-23de7e5d278e We propose a revised definition of force and explore its conceptual implications for the foundations of mechanics and field theory. Within this framework, the notions of Lagrangian and Hamiltonian dynamics are reformulated, leading naturally to a modified procedure for canonical quantization. The new definition reveals gravity as a genuine interaction rather than just a manifestation of spacetime geometry. On this basis, we construct a corresponding theory of gravity that appears as a deformation of General Relativity and, at the same time, as a natural extension of Yang–Mills gauge theories. The standard gauge interactions thus arise as a limiting case of this broader structure. The framework provides a unified description in which the observed effects attributed to dark matter and dark energy emerge without introducing such entities explicitly. Moreover, the quantization method developed for point particles generalizes consistently to fields and reproduces the expected results for conventional gauge systems. When applied to gravity, however, it indicates that the results of naïve canonical quantization cannot be regarded as conclusive regarding the quantum nature of the gravitational field. Doctoral 2026-04-21T13:24:27Z 2026-04-21T13:24:27Z 2026-03 Thesis https://scholar.sun.ac.za/handle/10019.1/136068 en Stellenbosch University 125 pages application/pdf Stellenbosch : Stellenbosch University
spellingShingle Horoto, Langa Samuel
Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title_full Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title_fullStr Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title_full_unstemmed Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title_short Beyond Geometry: Conceptual Foundations of a Force-Based Theory of Gravity
title_sort beyond geometry conceptual foundations of a force based theory of gravity
url https://scholar.sun.ac.za/handle/10019.1/136068
work_keys_str_mv AT horotolangasamuel beyondgeometryconceptualfoundationsofaforcebasedtheoryofgravity