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math.DG2024
Unification of the Fundamental Forces in Higher-Order Riemannian Geometry
William Bies
In Part I of the present series of papers, we adumbrate our idea of Riemannian geometry to higher order in the infinitesimals and derive expressions for the appropriate generalizat…
math.DG2024
Post-Einsteinian Effects in the General Theory of Relativity from Higher-Order Riemannian Geometry
William Bies
In Part I of this series, the author has shown how to extend the framework of Riemannian geometry so as to include infinitesimals of higher than first order. The purpose of the pre…
math.DG2024
Riemannian Geometry to Higher Order in the Infinitesimals
William Bies
Differential geometry may be generalized to allow infinitesimals to any order. The purpose of the present contribution is to show that the theory so developed expands received geom…