In the black hole, singularity exist in the future, whereas in the real universe, singularity exist in the past. However, this Black Hole Cosmology is known to have several fatal flaws. The Black Hole Cosmology that “the universe we observe is the interior of a black hole” was proposed in the 1970's. Therefore, gravitational potential energy or gravitational self-energy can be good approximation to the dark energy. Since the observable universe is almost flat and the mass density is very low, a correspondence principle between general relativity and Newtonian mechanics will be established. This model predicts an inflection point where dark energy becomes larger and more important than the energy of matter and radiation. There is no cosmological constant and dark energy is a function of time. I present Friedmann's equations and dark energy function obtained through gravitational self-energy model. Accordingly, an effect of increasing dark energy occurs. While mass energy is proportional to M, gravitational self-energy increases faster because gravitational self-energy is proportional to - M^2/R. The dark energy effect occurs because all positive energy (mass) entering the particle horizon produces negative gravitational potential energy. The source of dark energy is presumed to be due to gravitational self-energy and an increase in mass due to the expansion of the particle horizon. | ( - M_gs)c^2 | = Mc^2 is the inflection point from the decelerated expansion to the accelerated expansion. Therefore, if | ( - M_gs)c^2 | Mc^2, accelerated expansion is performed. Mass energy (Mc^2) is an attractive component, and the equivalent mass (- M_gs) of gravitational potential energy is a repulsive component. Gravitational potential energy generates a repulsive force because it has a negative equivalent mass. Therefore, even in the case of the universe, the gravitational action of gravitational potential energy must be considered. When the bound object acts on gravity, the gravitational action of gravitational potential energy is also included.
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