Torsionslehre

Torsionslehre, often translated as "torsion theory" or "theory of torsion," is a concept within the framework of Einstein's theory of general relativity that considers the possibility of spacetime possessing intrinsic angular momentum. In the standard formulation of general relativity, spacetime is described solely by its curvature, which is linked to the distribution of mass and energy. Torsionslehre extends this by proposing that spacetime can also have a "twist" or "torsion," which is independent of curvature and related to the intrinsic angular momentum of matter, specifically spin.

The mathematical framework for incorporating torsion is often found in theories like Einstein-Cartan theory. This theory modifies Einstein's field equations to include torsion as a dynamic variable. The presence of torsion has implications for the behavior of matter, particularly at very high densities or in extreme gravitational environments such as those found near black holes or in the early universe. It is hypothesized that torsion might play a role in preventing the formation of singularities, points of infinite density that arise in classical general relativity.

While mathematically consistent, the experimental verification of torsion remains a significant challenge. The effects of torsion are predicted to be extremely weak under typical conditions, making them difficult to observe with current technology. Nevertheless, research into torsionslehre continues as physicists explore potential modifications and extensions to general relativity that could offer deeper insights into the fundamental nature of gravity and spacetime.