Massive spin-1 gravity and the gravitational flux quantum

作者：Brandt D^*; Raine D J; Fraser G W

来源：Physics Letters A, 2008, 372(14): 2496-2501.

DOI：10.1016/j.physleta.2007.12.001

• graviton mass
• photon mass
• gravitomagnetic equations
• cooper pair mass
• frame dragging
• gravitomagnetic flux quantum

We present a derivation of the mass of the graviton inside a superconductor or other quantum coherent matter, starting from the gravitomagnetic equations and using the breaking of U(l) phase rotational symmetry of particles with a macroscopic wavefunction. We arrive at a simple and complete analytical expression for the graviton mass in terms of fundamental constants, with the mass density of the superconductor the only free parameter entering the ratio of photon-to-graviton mass. We compare predictions of our graviton mass with existing experimental data concerning the Tate-Cooper pair mass anomaly [C.J. de Matos, M. Tajmar, Physica C: Superconductivity 432 (2005) 167; J. Tate, B. Cabrera, S.B. Felch, J.T. Anderson, Phys. Rev. Lett. 62 (1989) 845]. We then go on to show that the gravitomagnetic flux through a superconducting ring is quantised and the resulting gravitationally-induced currents are measurable in the laboratory, allowing experimental access to an effect of quantised gravitational flux. We also show that phase change effects in multiply connected superconductors are due to the sum of gravitomagnetic and magnetic flux penetrating the superconductor. Finally, we speculate on the possible relevance to neutron star core formation.

• 出版日期2008-3-31