Scalar-tensor theories and asymmetric resonant cavities

Abstract

Recently published experimental results indicate the appeareance of unusual forces on asymmetric, electromagnetic resonant cavities. It is argued here that a particular class of scalar-tensor theories of gravity could account for this effect.Comment: 14 pages, no figures (this version was revised and corrected

Revaluation of Mbelek and Lachièze-Rey scalar-tensor theory of gravitation to explain the measured forces in asymmetric resonant cavities

“…As was argued in [1], in order for the MLR theory to be consistent with the lack of strong gravitational effects due to the magnetic field of the Earth, the non-linear terms in Eq. (4) should be kept, even in the WF approximation.…”

“…As can be seen in [1], for slow moving neutral masses, the WF limit of the geodesic equation corresponds to motion in flat Minkowski space-time under the action of a specific force (per unit mass) given by (Latin indices correspond to the spatial coordinates)…”

“…In this section we present the basis for the evaluation of the force on axially symmetric cavities, including an expression more convenient than that used in [1] because the involved derivatives can be performed explicitly so that the final expression reduces to a (five-dimensional) integral. From what was seen in the previous section, in the weak field approximation, the average thrust is determined as a gravitational force derived from the gravitational potential χ, whose determining equation is obtained from Eq.…”

“…The details of the considered MLR ST theory were already presented in [1] and [7], so that only a brief account will be given here. The MRL action is given by (SI units are used)…”

“…The scalar-tensor theory of gravitation proposed by Mbelek and Lachiè ze-Rey has been shown to lead to a possible explanation of the forces measured in asymmetric resonant microwave cavities [1]. However, in the derivation of the equations from the action principle some inconsistencies were observed, like the need no to vary the electromagnetic invariant in a scalar source term.…”