By Jacob D. Bekenstein (auth.), Peter G. Bergmann, Venzo de Sabbata (eds.)

ISBN-10: 1402005938

ISBN-13: 9781402005930

ISBN-10: 9401003475

ISBN-13: 9789401003476

In this XVII process the overseas college of Cosmology and Gravitation dedicated to "ADVANCES within the interaction among QUANTUM AND GRAVITY PHYSICS" now we have thought of assorted features of the impression of gravity on quantum structures. so one can accomplish that target, in lots of lectures, seminars and discussions we've reinforced the interaction among gravity and quantum structures ranging from the location within the early universe in response to astrophysical observations, as much as the earthly dependent experiments with atom interferometry for probing the constitution of space-time. hence now we have had well timed lectures at the quantum box and horizon of a black gap together with stories of the matter of black holes thermodynamics and entropy, quantum details, quantum black holes, quantum evaporation and Hawking radiation, fresh advances in stockastic gravity. we now have additionally mentioned quantum fluctuations in inflationary universe, quantum results and reheating after inflation, and superplanckian energies in Hawking radiation. during this regard the topic of spinors in basically affine space-time and Dirac subject in line with Weyl within the generalized idea of gravitation have been built . The dualism among space-time and subject has been deeply analyzed for you to see why, for common relativity, this can be a drawback for quantization of the speculation. additionally canonical Gravity and Mach's precept, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of actual space-time have been analysed, including the matter of 5-Dimensional Projective Unified box idea and Multidimensional Gravity and Cosmology.

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In fact, atom interferometers are so sensitive 52 Figure 23. Paris. Cold atom gyro-accelerometer under construction at the Observatory in Interferometer length 60 err Atom velocity 20 cm/s On« time 3 s 10" atoms/shot Sensitivity 2x10· 12 rad/s Figure 24 . Schematic picture of an atom interferometer in space providing long drift times and a large interferometer area. g. phase conjugation of atom waves ... ) to isolate the specific signature of investigated phenomena. An accurate measurement of the effect of gravitation and inertia on antimatter also appears as a possibility already discussed in reference [53] with a transmission-grating interferometer, although we believe, for obvious reasons, that an anti atom interferometer using laser beams for the antihy- 53 drogen beam splitters (so-called Ramsey-Borde interferometers) would be better suited for such an experiment.

49. J. M. McGuirk, P. G. A. Kasevich, Measurement of the Earth's gravity gradient with an atom interferometer-based gravity gradiometer, Phys. Rev. Lett. 81,971-974 (1998). 50. F. Riehle, Th. Kisters, A. Witte, J. J. Borde, Optical Ramsey Spectroscopy in a Rotating Frame: Sagnac Effect in a Matter- Wave Interferometer, Phys. Rev. Lett. 67, 177-180 (1991). 51. A. Landragin, T. L. Gustavson and M. A. Kasevich, Precision atomic gyroscope, in Laser Spectroscopy, Proceedings of the 14th International Conference on Laser Spectroscopy, Eds.

Ll). 39 Figure 12. Magneto-optical trap (MOT on the left) and sequence offour laser beam spatial zones or time pulses to generate a closed atom interferometer in space or space-time (on the right) . We have seen that the total phase factor acquired by the atomic wave packet is: exp [is(~to)] exp [ip( t) (z - z(t)) /n] 4. On one arm the additional momentum communicated after the first interaction: combined with ~ = -(1/2)gT2 , in the second phase factor, gives the phase shift responsible for the Ramsey fringes 8kf Note that this phase shift is indeed the same as in the atom gravimeter (see below) and an atom fountain clock is essentially a gravimeter with a recoil momentum communicated longitudinally proportional to the detuning.

### Advances in the Interplay Between Quantum and Gravity Physics by Jacob D. Bekenstein (auth.), Peter G. Bergmann, Venzo de Sabbata (eds.)

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