Energy conservation can be imposed at the cosmological scale by hypothesizing that the energy gained by dark energy in the expansion of the universe is the energy lost by photon and gravitational wave redshift, among other sources. The energy density of gravitational waves, which will be estimated in the future, could be predicted by this conjecture, assuming a certain rate of creation of gravitational waves through the universe’s history.
Dark Energy from Cosmological Energy Conservation
The value of the gravitational wave energy density is unknown. Current progress in gravitational wave detection suggests that the energy density of the stochastic gravitational wave background (SGWB) will be estimated in the next decades. We present a derivation of its value under the assumption that energy lost due to cosmic redshift is fully responsible for the energy gained by the cosmological constant in the expanding universe.
If kinetic energy manifesting inertia is due to gravitation, the most Machian way of having one made by the other would be if there’s equal amount of energy as in the Einstein-de Sitter model, which is the one where the total energy of the universe is zero, where positive kinetic energy cancels out the negative gravitational potential energy. Moreover, the Reissner-Schrödinger’s relationship equating the gravitational constant to the speed of light squared divided by the potential of the universe implies that the total negative gravitational potential energy of a particle is fully compensated by its rest mass energy, a coincidence pointed out by Pascal Jordan (and suggested by Erwin Schrödinger and Hans Reissner before). The gravitational potential energy could have a negative equivalent mass, acting as a repulsing force. If the gravitational potential energy or gravitational field’s energy is slightly greater than the positive mass energy, it can be a candidate for dark energy, explaining the current accelerated expansion.
1 thought on “Dark energy and the cosmological constant: Energy conservation and gravitational potential energy”
Dark Energy is an Optical illusion, I have all the proof and calculations.
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