POINTLESS SPACES IN GENERAL RELATIVITY
General Relativity and Quantum Cosmology
2010-11-01 v1
Abstract
The new approach to quantize the gravity based on the notion of differential algebra is suggested. It is shown that the differential geometry of this object can not be described in terms of points. The spatialization procedure giving rise to points by loosing a part of the entire structure is discussed. The counterpart of the traditional objects of differential geometry are studied.
Cite
@article{arxiv.gr-qc/9503048,
title = {POINTLESS SPACES IN GENERAL RELATIVITY},
author = {G. N. Parfionov and R. R. Zapatrin},
journal= {arXiv preprint arXiv:gr-qc/9503048},
year = {2010}
}
Comments
40 Kb, latex, no figures, paper accepted for publication in the International Journal of Theoretical Physics (May 1995)