Spin in Gravity : Is It Possible to Give an Experimental Basis to Torsion?: International School of Cosmology and Gravitation XV Course Erice, Italy 13 - 20 May 1997

by Bergmann, P.G.

• ISBN13: 9789810234591
• ISBN10: 9810234597
• Edition: 1st
• Format: Hardcover
• Copyright: 1998-09-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

The introduction of spin is believed to be a necessary tool if one wishes to quantize general relativity. Then the main problem is to see if the introduction of spin generalizing the general relativity from a geometric point of view, i.e. through the concept of torsion, can be experimentally verified.The reader can find in this book both theoretical and experimental arguments which show the necessity for the introduction of spin, and then of torsion, in gravity. In fact, torsion constitutes the more natural and simple way to introduce spin in general relativity. For that reason it is of fundamental importance to see if there are some experiences that indicate -- if not directly, then at least indirectly -- the presence of torsion. This book presents a discussion on experiments with a polarized-mass torsion pendulum, the search for galactic dark matter interacting with a spin pendulum, a description of a space-based method for determination of the gravitational constant and space-based measurements of spin in gravity, as well as a discussion on theoretical arguments, for instance the nature of torsion and nonmetricity, the viability of gravitational theories with spin -- torsion and spin-spin interaction, many-dimensional gravitational theories with torsion, spinors on curved spaces, the spinors in real space -- time, etc.We know that until now there has been no evidence for torsion, but this fact cannot prevent us from considering in some detail this implement of research that seems to be important from both a geometrical and a physical point of view.

Table of Contents

Preface	v	(2)
Welcome	vii
EIH Theory and Noether's Theorem	1	(8)
P. G. Bergmann
Torsion and The Weyl-Cartan Space Problem in Purely Affine Theory	9	(24)
H.-H. von Borzeszkowski
H.-J. Treder
Hestenes' Geometric Algebra and Real Spinor Fields	33	(18)
B. K. Datta
V. de Sabbata
Evidence for Torsion in Gravity?	51	(35)
V. de Sabbata
Modern Perspectives on Newtonian Gravity	86	(5)
G. T. Gillies
Quantum Tests of Space-Time Structures	91	(27)
C. Lammerzahl
Integrability of D-Dimensional Cosmological Models	118	(16)
V. R. Gavrilov
V. N. Melnikov
World Spinors in Metric and Nonmetric Backgrounds	134	(39)
Y. Ne'eman
Physical Effects and Measurability of Spin-Torsion Interaction	173	(26)
P. I. Pronin
Anomalous Spin I: Experiments with a Polarized-Mass Torsion Pendulum	199	(14)
R. C. Ritter
G. T. Gillies
L. I. Winkler
Anomalous Spin II: Search for Galactic Dark Matter Interacting with a Spin Pendulum	213	(12)
R. C. Ritter
G. T. Gillies
L. I. Winkler
Project SEE (Satellite Energy Exchange): Proposed Space-Based Method for More Accurate Gravitational Measurements	225	(6)
A. J. Sanders
G. T. Gillies
A Comparative Survey of Proposals for Space-Based Determination of the Gravitational Constant G	231	(4)
A. J. Sanders
G. T. Gillies
Space-Based Measurements of Spin in Gravity	235	(4)
A. J. Sanders
G. T. Gillies
Mach's Principle and Torsion in General Relativity	239	(14)
Yu Xin (Alfred Yu)
Subject Index	253	(4)
Photographs	257