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      Splitting the source term for the Einstein equation to classical and quantum parts

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          Abstract

          We consider the special and general relativistic extensions of the action principle behind the Schr\"odinger equation distinguishing classical and quantum contributions. 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 (gravonium) having a Bohr radius \(a\) as being \Lambda=3/a^2.

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          Journal
          10.1007/s10701-015-9920-7
          1312.1316
          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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