# Gravitation in a Klein Bottle

### James F. Carter, 1999-07-06

Every Hausdorff space has a Riemannian connection which is the
potential of a conserved source. An 8-dimensional space in which four
dimensions resemble a Klein bottle shows promise for uniting quantum
mechanics and general relativity.

### Section Index

- Introduction
- Notation and Definitions
- The Connection Derived from the Distance Function
- The Riemann-Christoffel Tensor
- The Exterior Derivative is Nilpotent
- Einstein's General Theory of Relativity
- Kodaira's Theorem
- An Analogy with Maxwell's Equations
- An Unsuccessful Simplification
- General Features of the Space
- Equations of Motion of the Connection
- Program for the Equations of Motion
- Trajectories in the Empty Space
- References and Juicy Quotations

Copyright © 1999 by
James F. Carter <jimc@math.ucla.edu>

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