A Physical Theory of Information vs A Mathematical Theory of Communication

In this article, I develop a general notion of physical bit information which is compatible with the basics of quantum mechanics and incorporates the Shannon entropy as a special case. This notion of physical information leads to Binary data matrix model (BDM) which predicts the basic results of quantum mechanics, general relativity, and black hole thermodynamics. the compatibility of the model with holographic, information conservation and Landauers principles is investigated. After deriving the Bit Information principle as a consequence of BDM, the fundamental equations of Planck, De Broglie, Beckenstein and mass-energy equivalence are derived.