Information Theory of Gravity

A new model of gravity is presented here that is similar to MOND and Chameleontheory but uses an Entropic Gravity approach that is not based fundamentally on theFirst Law of Thermodynamics. Instead, the Second Law of Thermodynamics will bemainly used here as it was applied in Black Hole Physics via the Area Theorem and theHolographic Principle. The Area Theorem was considered here to imply, not only thatthe total area of the event horizon will never shrink when entropy increases, but also thatthe mass or energy content within the black hole will always be greater than the originalmass-energy input, though not necessarily violating the energy conservation law. Thisblack hole property will be extended to include even a non-black hole setting. Moreover,the approach does not use the Equipartition Theorem to relate energy to temperature(E = NkbT), instead we used Vopson’s Energy-Mass-Information Equivalence Principle(E = kbT ln(Ω)). The theory uses E = NEp, for the total energy of a massive objectwhere Ep is the Planck Energy and N is the number of Planck Energy to represent theamount of information within the limit set at the Planck scale. It is shown here thatgravity emerges whenever information is updated within a given volume of space witha magnitude that is defined not only by the gravitating matter but also by the energygenerated in space within the vicinity of the gravitating matter. The model is the firstto consider the role of both spacetime and matter as a medium to store information andapply it to describe gravity in a fundamental way.