Relativistic potential of Weyl: a gateway to quantum physics in the
  presence of gravitation?
  The well-noted correspondence between gravitation and electrodynamics
emphasizes the importance of the Lanczos tensor -- the potential of the Weyl
tensor -- which is an inherent structural element of any metric theory of
gravity formulated in a 4-dimensional pseudo Riemannian spacetime. However,
this ingenious discovery has gone largely unnoticed. We elucidate this
important quantity by deriving its expressions in some particularly chosen
spacetimes and try to find out what it represents actually. We find out that
the Lanczos potential tensor does not represent the potential of the
gravitational field, as is ascertained by various evidences. Rather, it is
enriched with various signatures of quantum character, which provides a novel
insight into the heart of a geometric embodiment of gravity.
