**Back to Research**
## Differential Geometry, Dislocations and Einstein's Teleparallelism

####
Einstein's teleparallel theory is based on the so-called
torsion tensor, which has become a quantity equally
important as curvature in differential geometry.
At that time, however, is was difficult to get an intuitive
picture what torsion means. This changed in the 1950s when
Kröner - after the pioneering work of Kondo and Bilby Bullough
and Smith - developed a theory of dislocations in crystalline
bodies and demonstrated
that the density of dislocations piercing through a surface is
equivalent to torsion. Thus with
discolations we got a
very nice tool to understand Einstein's teleparallelism !

Surprisingly, the theory of dislocations showes many similarities
with electrodynamics, including a
relativistic behaviour
of
moving dislocations. Not enough here, this 'electromagnetical' behaviour of dislocations was
discovered even before the relation to torsion and thus
the relation to Einstein's unified theory was revealed -
you may believe this is just coincidence, I don't !

Thus Einstein's attempt, after all, may be not that wrong
as it seems today.

###
My activities in this field