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Conformal Invariance, Anomalous Gravitational Coupling and Derivation of a Particle Concept

Hadi Salehi·Yousef Bisabr
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Abstract

We study a gravitational model whose vacuum sector is invariant under conformal transformations. In this model we investigate the anomalous gravitational coupling of the large-scale matter. In this kind of coupling the large-sale matter is taken to couple to a metric which is different but conformally related to the metric appearing explicitly in the vacuum sector. The effect of the conformal symmetry breaking of the large-scale matter would lead in general to a variable strength of the anomalous gravitational coupling. This feature is used to derive a relativistic particle concept which shares the essential dynamical characteristics of the particle concept used in the causal interpretation of quantum mechanics with respect to the form of the Hamilton-Jacobi equation. The basic aspect of this result is that it relates the variable strength of the anomalous gravitational coupling of the large-scale matter to the appearance of a term similar to a quantum potential term. Some of the general characteristics of the corresponding pilot wave are discussed.

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Hadi Salehi, Yousef Bisabr. 2004-07-04. Conformal Invariance, Anomalous Gravitational Coupling and Derivation of a Particle Concept. https://arxiv.org/abs/hep-th/0301208

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