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

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 (gravonium) having a Bohr radius $a$ as being Λ=3/a^2.

13 pages, revised

References in corpus (12)

• The (pseudo)issue of the conformal frame revisited
• Applied Bohmian Mechanics
• Dark Energy: Mystery of the Millennium
• Could quantum mechanics be an approximation to another theory?
• The roots of scalar-tensor theory: an approximate history
• Vortices associated with the wave function of a single electron emitted in slow ion-atom collisions
• The Cosmological Constant Problem: Why it's hard to get Dark Energy from Micro-physics
• An answer to the Wallstrom objection against Nelsonian stochastics
• The Geometric Origin of the Madelung Potential
• Remarks on geometry and the quantum potential
• A geometrical dual to relativistic Bohmian mechanics - the multi particle case
• A strain tensor that couples to the Madelung stress tensor

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• Quantum-Fluid Correspondence in Relativistic Fluids with Spin: From Madelung Form to Gravitational Coupling