The article "A Physical Theory of Information" proposes a new approach to physical information. Any parameter of particles in a system represented by a columnar binary matrix and the collection of all parameters for all particles constructs a giant data matrix that evolves over time due to quqntum Liouville equation. this simple model that presumed deterministic local approach to quantum mechanics, brings about a lot of consequences that unites the diffrent aspect of information theory and physics laws. Holographic principle as well as conservation of bit information amd Landauer's law are incorporated in the context of this model. The model as I call it as "Binary Data Matrix Model" (BDM) imposes the dynamics of quantum Liouville equation on the Binary matrices to derive Einstein field equation and wave function in quantum mechanics. Shannon information and statistical entropy are its outcomes as special cases and equivalence of Black holes' Euclidean actiion and entropy is proved by this model. "Bit Information Principle" as a general consequence of BDM, is compatible with Planck equation of photon's energy, De Broglie equation of wave-length of particles and Beckenstein inequality. dervation of mass-energy equivalence reveals the deep connection with special relativity.