Physical Science International Journal

After having explored some basic theoretical concepts about the quantum information approach, we focus on Entropic Information Theory which is an informational approach mathematically based on the mass of the bit of information; mass_bit = \(\frac{kTIn(2)}{c^2}\). The mass of the bit of information and the new entropy formulae associated to it, S = k²\(\frac{TIn(2)t}{h}\) , and its alternative writings lead to new formulation, S_BH = K\(\frac{c^3In(2)tevap}{16\pi^2GM}\), to calculate the entropy of black holes independently of the law of area. Being able to express the fine-grained gravitational entropy of a black hole using the rules of gravity, we can, at this level, speak of quantum gravity as emerging through the fundamentality of entangled quantum information by considering that information emerges from degree of freedom; indeed, information being a quantum state change due to the modification of one degree of freedom from the considered quantum system. In addition, we calculated the informational content of the observable universe using the entropic information formula, to obtain, 1.57 10⁹⁹  bits, a result remarkably close to some previous estimates to account for all the dark matter missing in the visible Universe. After that, we calculated the amount of energy associated with this informational content using Landauer's principle, to obtain, 3.50 10⁷⁶ Joules, a result that we can relate to dark energy estimates. Moreover, some deep considerations based on the perspectives of Entropic Information Theory have been explored. This new complete mathematical framework of Entropic Information Theory can explain various processes being several aspects of the same, entangled information, by considering that information emerges from degree of freedom, it is the theoretical framework of the entangled informational universe.