Quantum gravity and information theories linked by the physical properties of the bit

Abstract: Quantum gravity, and quantum cosmology, is not yet a complete nor consistent theory. One of the reasons for this is that the identification of the quantum of gravity is still very elusive. Here we show that the quantum of gravity is the minimum quantum of energy in nature, and we identify its physical properties. On the other hand, information theory has at its base the unit of information, the bit, and relies upon this entity that has no clear or definitely identified physical properties either. Here we prove that the bit has the absolute minimum of energy, and that it is the quantum of gravitational potential energy. Therefore the physics of the quantum of gravity and the physics of the quantum of information are parallel. We identify the entropy of 1 bit with the Boltzmann constant k, 61 orders of magnitude below the Planck scale as of today. It is the unit of entropy. These findings move forward the state of the art of two very important fields: quantum gravity and information theories. A new insight is also given for information entropy. We obtain these results thanks to the combination of two important contributions to science from the past: Weinberg relation and the Bekenstein maximum information limit.