Scalar-tensor gravity and Aharonov-Bohm electrodynamics with bosons: applications to superconductors

Abstract

We study a scalar-tensor extension of gravity with two scalar fields coupled to the Aharonov-Bohm extension of electrodynamics, where the scalar mode $S\equiv {\partial }_{\mu }{A}^{\mu }$ is dynamical. In this framework the trace of the electromagnetic energy-momentum tensor is nonvanishing and the scalar $S$ induces an electro-gravitational coupling that can be enhanced by the vacuum expectation value of the second gravitational scalar. For bosonic matter described by a macroscopic wavefunction (as in superconductors), the coupling to the electromagnetic potential generates $S$ already at the semiclassical level, implying sizable junction-induced discontinuities. Including the scalar-tensor sector yields a nonlinear system for $S$ and a gravitational scalar combination $\beta$ that admits a bulk saturation solution $S_{\mathrm{sat}}^2=(\Lambda {\lambda }_L^2{)}^{-1}$ and a corresponding threshold condition for macroscopic effects. We apply these results to pulsed discharges across normal-superconducting junctions and obtain scaling relations for the onset of anomalous gravitational signals in terms of current density, pulse duration, and superconducting volume, consistent with reported threshold behavior in two independent experimental configurations for a single microscopic parameter. We also present time-dependent propagating solutions in the weak-field regime and derive a class of one-dimensional traveling exact solutions of the nonlinear vacuum Einstein equations.

36 pages

References in corpus (18)

• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• The warp drive: hyper-fast travel within general relativity
• Faster-than-c signals, special relativity, and causality
• Fundamental limitations on "warp drive" spacetimes
• Introducing Physical Warp Drives
• Modelling the rotational curves of spiral galaxies with a scalar field
• A five dimensional model of varying effective gravitational and fine structure constants
• Generalized Maxwell equations and charge conservation censorship
• Interaction between macroscopic quantum systems and gravity
• Gauge waves generation and detection in Aharonov-Bohm electrodynamics
• Aharonov-Bohm electrodynamics in material media: a scalar e.m. field cannot cause dissipation in a medium
• A comparison between the YBCO discharge experiments by E. Podkletnov and C. Poher, and their theoretical interpretations
• Generalized local charge conservation in many-body quantum mechanics
• A new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics
• Do we need an alternative to local gauge coupling to electromagnetic fields?

Cited by in corpus (1)

• Effective Observer-Split Source Terms in Rotating Frames and Gravitomagnetic Backgrounds in Extended Aharonov-Bohm Electrodynamics