Electromagnetic to Gravitational wave Conversion via Nuclear Holonomy
Abstract
Electromagnetic to gravitational wave converters are characterized by an electrically (and/or magnetically) charged end that couples to the exciting electromagnetic field and a massive end with mechanical quadrupole moment, which couples to the gravitational field. The efficiency of the conversion appears to be very low so that in early theoretical studies it was concluded that whatever system was considered, it would be destroyed by the excitation energy before it could emit detectable gravitational waves. Recent studies are more optimistic by relying on advanced and more sophisticate detectors for defining the threshold of detection. Considering that a Hertz like experiment for gravitational waves also responds to improvements regarding the generator of gravitational waves, to this end we here discuss the possibility that within the nucleus the nuclear holonomy and the corresponding spinprecession coupling may lead to a highfrequency quadrupole spin resonating on high order harmonics of a lowfrequency precession excitation frequency, thus increasing the efficiency of the conversion process. Based on conservation laws of holonomy and spin describing the orbital and radial behavior of angular momentum and torque currents in systems with spinorbit coupling, it is assumed that the two major constraints given by spin conservation (linear) and holonomy (transcendental) could provide for the necessary spinprecession interplay. Because the power emitted as gravitational waves by a given configurations is proportional to the sixth power of the frequency, a precessionspin frequency upconversion by a factor of 101000 (which can be even observed in mechanical model systems) will increase the power emission by 618 orders of magnitude for the carrier. A signal phasefrequency modulation could be induced by an additional NMR signal precessing at special magic angles in a modulated magnetic field. Reversely, this system could also act as an active gravitational wave antenna with frequency downconversion capabilities that could ease the subsequent processing of the signal.
 Publication:

Space, Propulsion & Energy Sciences International Forum: SPESIF2009
 Pub Date:
 March 2009
 DOI:
 10.1063/1.3115561
 Bibcode:
 2009AIPC.1103..524F
 Keywords:

 95.85.Sz;
 42.68.Ay;
 04.25.g;
 Gravitational radiation magnetic fields and other observations;
 Propagation transmission attenuation and radiative transfer;
 Approximation methods;
 equations of motion