Fractal cosmology is a theory which states that the distribution of matter in the Universe or the structure of the universe itself, is a fractal across a wide range of scales. A central issue in this field is the fractal dimension of the universe or of matter distribution within it, when measured at very large or very small scales. The mass of the matter in the universe is far more that what the physicists estimate and only 5% of it is visible to us. The density of the universe is made up of 23% dark matter and 72 % dark energy, thus impacting its structure a great deal. A huge portion of the cosmos that we considered to be empty is in fact distributed like an invisible nervous system all across the universe, encompassing the stars and galaxy clusters. This space, which is filled with other elements, is simultaneously expanding and vibrating on all levels and dimensions, and its gigantic gravitational field is the reason for the space-time stability.