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.
General
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