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**Linker, Patrick** (2016):

*Foundations of E-Theory.*

In: The Winnower, pp. e145350-06184. ISSN 2373-146X,

[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 |
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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 |

URL / URN: | 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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