Splitting the Source Term for the Einstein Equation to Classical and Quantum Parts

Foundations of Physics 45 (11):1465-1482 (2015)
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Abstract

We consider the special and general relativistic extensions of the action principle behind the Schrödinger 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 having a Bohr radius a as being \

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A Relation between Distance and Radial Velocity among Extra-galactic Nebulae.E. Hubble - 1929 - Proceedings of the National Academy of Sciences 15:168-173.

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