publication . Article . Preprint . 1999

The Physical interpretation of the Lanczos tensor

Mark D. Roberts;
Open Access
  • Published: 04 Apr 1999 Journal: Il Nuovo Cimento B Series 11, volume 110, pages 1,165-1,176 (eissn: 1826-9877, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
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...
free text keywords: General Relativity and Quantum Cosmology
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