In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely lectures on the quantum field and horizon of a black hole including reviews of the problem of black holes thermodynamics and entropy, quantum information, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stockastic gravity. We have also discussed quantum fluctuations in inflationary universe, quantum effects and reheating after inflation, and superplanckian energies in Hawking radiation. In this regard the subject of spinors in purely affine space-time and Dirac matter according to Weyl in the generalized theory of gravitation were developed . The dualism between space-time and matter has been deeply analyzed in order to see why, for general relativity, this is an obstacle for quantization of the theory. Also canonical Gravity and Mach's principle, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of real space-time were analysed, together with the problem of 5-Dimensional Projective Unified Field theory and Multidimensional Gravity and Cosmology.

Inhalt
Quantum Information and Quantum Black Holes.- Atomic Clocks and Atom Interferometry.- Canonical Gravity and Mach's Principle: Kinematic and Dynamic Solutions of the Space Problem.- Radiation and Gravitation.- Torsion and Curvature as Commutator for Quantum Gravity.- Experimental Perspectives on the Interplay between Quantum and Gravity Physics.- Quantum Physics-motivated Measurements and Interpretation of Newtonian Gravitational Constant.- Recent Advances in Stochastic Gravity: Theory and Issues.- Quantum Cosmology: New Results and Prospects.- Normal mode Quantization of Relativistic scalar Fields in an Einstein Elevator.- Geometric Algebra, Dirac Wavefunctions and Black Holes.- Modern Trends in Multidimensional Gravity and Cosmology.- Quantum Systems in weak Gravitational Fields.- Laboratory Searches for Effects beyond Classical Gravity.- Prospects for a Test or Measurement of (G-dot)/G by a SEE (Satellite Energy Exchange) Mission.- Lagrangian Description of Duality-Symmetric Fields.- The Cosmological Influence on Matter (Cosmic Objects, Dark Matter and Particles) predicted by the 5-dimensional Projective Unified Field Theory.- Ettore Majorana and Matvei Bronstein (19061938): Men and Scientists.- Dualism between Space-Time and Matter analyzed from Epistemological Point of View.- The Thermodynamics of Black Holes.- Black Holes with Hair.