Speaker
Dr
Péter Ván
(Wigner RCP of the HAS)
Description
We consider the special and general relativistic extensions of the action principle behind the Schrödinger equation distinguishing classical and quantum contributions via the use of Madelung variables for the wave function field. Postulating a particular quantum correction to the source term in the classical Einstein equation we identify the conformal content of the above action and obtain classical gravitation for massive particles, but with a cosmological term representing off-mass-shell contribution to the energy-momentum tensor. In this scenario the - on the Planck scale surprisingly small - cosmological constant stems from quantum bound states with a Bohr radius a as being =3/a2.
