Low entropy hypothesis led to modified gravity to explain the origin of dark matter and inflation.

What is it about?

The nature of dark matter is not yet known, but the gravitational effect in galaxy's rotation and cosmic microwave background do support its existence. In the primordial phase of universe, we believe the size of universe expanding in extraordinary rate, which is called 'inflation' era. Although both nature of inflation and dark matter seems different physics totally, we propose a modeling mechanism to explain them in a single framework. Furthermore, there is a specific theory of gravity generated by the framework. Such gravity theory may provide new physics of gravity and spacetime beyond Einstein's theory of general relativity.

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Photo by NASA Hubble Space Telescope on Unsplash

Photo by NASA Hubble Space Telescope on Unsplash

Why is it important?

Motivated by the low entropy hypothesis, which proposes that the initial state of the universe was one of exceptionally low entropy, we develop a modeling mechanism of modified gravity using the approach of 'weak equality'.    We demonstrate how the proposed mechanism leads to a novel equation (ordinary differential equation) of modeling under the context of modified gravity (MG). Such equation describes class(es) of models.     Interestingly, we not only reproduce well known R^2 gravity naturally from the solution, but also found two models generated - inflation model and wave-like dark matter (WDM) model. We propose such wave-like dark matter model fits both the observations of local measurements and large- scale measurements such as CMB (Cosmic Microwave Background). WDM model avoids the cusp problem owing to the wave nature of dark matter.    The work might offer a novel approach and/or new understanding in the fields of modified gravity and inflation as well as dark matter.

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