Electromagnetic to Gravitational wave Conversion via Nuclear Holonomy

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 spin-precession coupling may lead to a high-frequency quadrupole spin resonating on high order harmonics of a low-frequency 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 spin-orbit coupling, it is assumed that the two major constraints given by spin conservation (linear) and holonomy (transcendental) could provide for the necessary spin-precession interplay. Because the power emitted as gravitational waves by a given configurations is proportional to the sixth power of the frequency, a precession-spin frequency up-conversion by a factor of 10-1000 (which can be even observed in mechanical model systems) will increase the power emission by 6-18 orders of magnitude for the carrier. A signal phase-frequency 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 down-conversion capabilities that could ease the subsequent processing of the signal.