The Physical Interpretation of the Lanczos Tensor

Details The Physical Interpretation of the Lanczos Tensor The Physical Interpretation of the Lanczos Tensor

1999-04-04

arxiv.org/abs/gr-qc/9904006v1

Nuovo Cim.B110:1165-1176,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, no tables or diagrams, LaTex2e

Scientific paper

10.1007/BF02724607

The field equations of general relativity can be written as first order differential equations in the Weyl tensor, the Weyl tensor in turn can be written as a first order differential equation in a three index tensor called the Lanczos tensor. The Lanczos tensor plays a similar role in general relativity to that of the vector potential in electro-magnetic theory. The Aharonov-Bohm effect shows that when quantum mechanics is applied to electro-magnetic theory the vector potential is dynamically significant, even when the electro-magnetic field tensor $F_{ab}$ vanishes. Here it is assumed that in the quantum realm the Lanczos tensor is dynamically significant, and this leads to an attempt to quantize the gravitational field by pursuing the analogy between the vector field and the Lanczos tensor.

Affiliated with

Also associated with

No associations

Rating

The Physical Interpretation of the Lanczos Tensor does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Physical Interpretation of the Lanczos Tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Physical Interpretation of the Lanczos Tensor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-387394