Theoretical analysis of a reported weak-gravitational-shielding effect

Abstract

The most recent data about the weak gravitational shielding produced recently through a levitating and rotating HTC superconducting disk show a very weak dependence of the shielding value (∼ 1%) on the height above the disk. We show that whilst this behaviour is incompatible with an intuitive vectorial picture of the shielding, it is consistently explained by our theoretical model. The expulsive force observed at the border of the shielded zone is due to energy conservation. 74.72.-h High-T c cuprates. 04.60.-m Quantum gravity. The measurements of Podkletnov et al. of a possible weak gravitational shielding effect [1, 2] have been repeated several times and under different conditions by that group, with good 1

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“…there appears to be in practice a "shielding cylinder" over the disk (compare also [18,20]), extending for 3 meters at least. The resulting field configuration is clearly non conservative.…”

“…Our interpretative model of the experimental results [5] is based on the "anomalous" coupling between Bose condensate and gravitational field described by eq.s (3), (4). In this model the essential ingredient for the shielding is the presence of strong variations of the Cooper pairs density in the disk: we assume that such variations produce small regions with higher density, where the criticality condition (7) is satisfied and thus an additional boundary condition is imposed on the gravitational field.…”

“…(22) holds, more generally, when x i (t) represent the trajectories of the centers of mass of two extended bodies. This property can explain why the observed height dependence of the shielding effect is so weak (compare Section 2 and [18,20]) although the disk apparently should "shield only part of the Earth".…”

“…One finds that in general this is not the case; the quadratic part of the gravitational action is modified too, by receiving a negative definite contribution. It can thus be expected that the condensate induces localized instabilities of the gravitational field, in a sense 2 which we shall precise in Section 1.The present paper is based on the letter [5] and originates in part from previous theoretical work [3] and in part from recent experimental results ([4, 21]; see Section 2) which show the possibility of an anomalous interaction, in special conditions, between the gravitational field and a superconductor. We have developed a theoretical model (Section 3) which on the basis of the general results of Section 1 allows to interpret in a consistent way the main reported experimental observations.…”

“…The present paper is based on the letter [5] and originates in part from previous theoretical work [3] and in part from recent experimental results ( [4,21]; see Section 2) which show the possibility of an anomalous interaction, in special conditions, between the gravitational field and a superconductor. We have developed a theoretical model (Section 3) which on the basis of the general results of Section 1 allows to interpret in a consistent way the main reported experimental observations.…”