# 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>

This page was accessed
129 times since Sun Mar 31 23:28:48 2024

James F. Carter Voice 310 825 2897 FAX 310 206 6673

UCLA-Mathnet; 6115 MSA; 405 Hilgard Ave.; Los Angeles, CA, USA 90095-1555

Internet: jimc@math.ucla.edu (finger for PGP key)

UUCP:...!{ucsd,ames,ncar,gatech,purdue,rutgers,decvax,uunet}!math.ucla.edu!jimc