Giancarlo Jug - Università dell'Insubria # Magnetic effect(s) in the dipole echo of non-magnetic cold glasses: the solution of a riddle # Startling magnetic effects have been reported, in the last decade or so, when structural glasses (multi-silicates, but also amorphous glycerol) are studied at low and ultra-low (mK) temperatures. The heat capacity and dielectric constant of glasses, dominated by tunneling systems at these temperatures, ought to display universal features and to be oblivious to the magnetic field. Instead, small non-monotonic deviations have been observed in the dielectric constant (real part and loss) when the glasses are immersed in weak magnetic fields (10 mT up to 1 T). Moreover significant deviations have been reported for the heat capacity and also for the amplitude of the dipole or polarization echo. We have developed a theory able to explain quantitatively the magnetic effects in the heat capacity, and present our best results for the dielectric constant and loss in a magnetic field. Also, we have solved the problem of the astonishing magnetic effects reported on the echo amplitude, and using the very same model. We present our explanation, for ALL of the magnetic effects, in terms of special tunneling systems coupled orbitally to the magnetic field and residing in ``crystal embrios'' (nano-crystals or smaller) within the otherwise homogeneously disordered solid. This theory shows that the glass transition is more likely to be associated to the formation of crystal droplets around Tg than to frustration as is the case in the spin-glasses. The ``magnetic'' tunneling systems become therefore a viable probe to study these crystal embryos when other spectroscopies would fail.