Derivation of Dark Energy Equations Using Fundamental Physics Relations and Hubble's Law

Considering that dark energy is a real phenomenon causing galaxies to go away from each other, and their rate of separation accelerates over time, among the various forms of energy, dark energy manifests as kinetic energy, leading to the acceleration of galaxies.

Hubble's law posits the existence of rotational motion in the universe, given that dimensionally, On the other hand, Based on Hubble’s Law, which is formulated as follows: V=HD

Hubble's constant possesses the dimension of 1/s yet remains constant over time; hence, H should represent the angular velocity (ω). D also represents distance, which dimensionally corresponds to r. Consequently, the velocity in Hubble's law is effectively the tangential velocity, wherein ω denotes the angular velocity of celestial objects around the universe's center.

In this paper we are going to derive a equation to calculate the total dark energy of the universe at any given time, wherein K represents the “Saleh Dark Energy Constant” and r denotes the radius of the universe at any given time. The equation is given as follows: E=kr².