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arXiv · 1312.1316

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

T. S. Biró·P. Ván
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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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T. S. Biró, P. Ván. 2013-12-04. Splitting the source term for the Einstein equation to classical and quantum parts. https://doi.org/10.1007/s10701-015-9920-7

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