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Foundations of E-Theory

Linker, Patrick (2016):
Foundations of E-Theory.
In: The Winnower, pp. e145350-06184, ISSN 2373-146X,
[Online-Edition: https://thewinnower.com/papers/3339-foundations-of-e-theory],
[Article]

Abstract

Differential geometry is a powerful tool in various branches of science, especially in theoretical physics. Ordinary differential geometry requires differentiable manifolds. This research paper shows how concepts of differential geometry can also be applied to pure topological spaces. Such a theory is based on concepts like cohomology theory. It allows to define a curvature operator also on pure topological spaces without connection. The main advantage of this theory is that the only required information about the topological spaces is the structure of these spaces. A formulation of quantum gravity is also possible with this theory.

Item Type: Article
Erschienen: 2016
Creators: Linker, Patrick
Title: Foundations of E-Theory
Language: English
Abstract:

Differential geometry is a powerful tool in various branches of science, especially in theoretical physics. Ordinary differential geometry requires differentiable manifolds. This research paper shows how concepts of differential geometry can also be applied to pure topological spaces. Such a theory is based on concepts like cohomology theory. It allows to define a curvature operator also on pure topological spaces without connection. The main advantage of this theory is that the only required information about the topological spaces is the structure of these spaces. A formulation of quantum gravity is also possible with this theory.

Journal or Publication Title: The Winnower
Uncontrolled Keywords: Semigroup, quantum gravity, general relativity, topology
Divisions: Study Areas
04 Department of Mathematics
04 Department of Mathematics > Applied Geometry
05 Department of Physics
Study Areas > Study Area Mechanic
Date Deposited: 17 Apr 2016 19:55
Official URL: https://thewinnower.com/papers/3339-foundations-of-e-theory
URN: urn:nbn:de:tuda-tuprints-53919
Identification Number: doi:10.15200/winn.145350.06184
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