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A-Relativity: A General Theory of Gravity from Structure Sheaf
Abstract
The aim of this paper is to introduce and disseminate to a wider readership of mathematicians, mathematical physicists and philosophers of mathematics and physics alike the basic theoretical, both conceptual and technical, tenets of Mallios's Abstract Differential Geometry, as well as to present and to summarise the main results from its applications in the last quarter of a century towards formulating an entirely homological algebraic, purely gauge-theoretic, finitistic, quantal and manifestly background geometrical smooth spacetime manifold independent vacuum Einstein gravity. New, previously unpublished, constructions and results are included in the paper.
Versions
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BibTeX
@misc{raptis2026arelativity,
title = {{A-Relativity: A General Theory of Gravity from Structure Sheaf}},
author = {Ioannis Raptis},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04228},
eprint = {2609.04228},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04228},
}
RIS
TY - UNPB
TI - A-Relativity: A General Theory of Gravity from Structure Sheaf
AU - Ioannis Raptis
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.04228
UR - https://arxiv.org/abs/2609.04228
AB - The aim of this paper is to introduce and disseminate to a wider readership of mathematicians, mathematical physicists and philosophers of mathematics and physics alike the basic theoretical, both conceptual and technical, tenets of Mallios's Abstract Differential Geometry, as well as to present and to summarise the main results from its applications in the last quarter of a century towards formulating an entirely homological algebraic, purely gauge-theoretic, finitistic, quantal and manifestly background geometrical smooth spacetime manifold independent vacuum Einstein gravity. New, previously unpublished, constructions and results are included in the paper.
ER -