Authors: Espen Gaarder Haug
We demonstrate that there is a way to represent Newtonian gravity in a form that strongly resembles Einstein’s field equation, but it is still a fundamentally different type of equation. In the non-relativistic regime, it becomes necessary to ad hoc introduce a cosmological constant in order to align it with observations, similar to Einstein’s field equation. Interestingly, in 1917, Einstein also ad hoc inserted a cosmological constant in the Newtonian equation during his discussion on incorporating it into his own field equation. At that time, the cosmological constant was added to maintain consensus, which favored a steady-state universe.However, with the discovery of cosmological redshift and the shift in consensus towards an expanding universe, Einstein abandoned the cosmological constant. Then, around 1999, the cosmological constant was reintroduced to explain recent observations of distant supernovae. Currently, the cosmological constant is once again a topic of great interest and significance.Nevertheless, we will demonstrate that the cosmological constant is likely an ad hoc adjustment resulting from a failure to properly account for relativistic effects in strong gravitational fields. We are able to derive the cosmological constant and show that it is linked to corrections for relativistic effects in strong gravitational fields. In our model, this constant holds true for any strong field but naturally assumes different values, indicating that it is not truly a constant. Its value is constant only for the mass under consideration; for example, for the Hubble sphere, it always has the same value.Additionally, we will demonstrate how relativistic modified Newtonian theory also seems to resolves the black hole information paradox by simply removing it. This theory also leads to the conservation of spacetime. In general relativity theory, there are several significant challenges. One of them is how spacetime can change over time, transitioning from infinite curvature just at the beginning of the assumed Big Bang to essentially flat spacetime when the universe end up in cold death, while still maintaining conservation of energy all the way from the Big Bang to the assumed cold death of the universe. Can one really get something from nothing?
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