Brans Dicke Scalar Tensor Theory and de Broglie Bohm Particle Interpretation

Astronomy and Astrophysics – Astrophysics

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Brans&Ndash, Dicke, Klein&Ndash, Gordon, Causal Bohmian Quantum Gravity

Scientific paper

We obtain a class of transformations between Brans Dicke (BD) scalar field conformal factor of the metric and the Klein Gordon (KG) wave (its amplitude and phase), such that the BD action described by conformaly flat (CF) metrics is reduced to the KG action. We then present a modified theory as a causal Bohmian quantum gravity by using the quantum potential back reaction effects on the Minkowski background spacetime. We also derive Hamilton Jacobi equations of the modified theory which is useful for obtaining its de Broglie pilot wave.

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