THESIS
2022
1 online resource (x, 78 pages) : illustrations (some color)
Abstract
The theory of Ratio Gravity (RG) proposes that the curvature of 3+1 spacetime originates
from a deformation of a Cross Ratio, where similar mathematical structure to
general relativity emerges. This paper (in the first half of the thesis) studies RG using
the framework of the Newman-Penrose spin formalism. After proposing the general formalism,
we move on to study a homogeneous and isotropic universe with RG. It is noted
that the theory contains a component of dynamical dark energy with novel equation of
state. In the second half of the thesis, based on the postulate above - the deformation
of the cross ratio to associate with the physical model of gravity, we further develop a
new mechanism to generate dynamical dark energy - a quintessence field coupled with
gravity. Such model causes...[
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The theory of Ratio Gravity (RG) proposes that the curvature of 3+1 spacetime originates
from a deformation of a Cross Ratio, where similar mathematical structure to
general relativity emerges. This paper (in the first half of the thesis) studies RG using
the framework of the Newman-Penrose spin formalism. After proposing the general formalism,
we move on to study a homogeneous and isotropic universe with RG. It is noted
that the theory contains a component of dynamical dark energy with novel equation of
state. In the second half of the thesis, based on the postulate above - the deformation
of the cross ratio to associate with the physical model of gravity, we further develop a
new mechanism to generate dynamical dark energy - a quintessence field coupled with
gravity. Such model causes the dark energy behaving differently in early and late time
universe. In the radiation-dominated-era and matter-dominated-era, the related analytical
solutions of the quintessence field have an interesting property - starting as a constant
field, then oscillating as the universe expands. By Markov Chain Monte Carlo search of
the parameter space with the local measurement (Type Ia supernovae) in the Bayesian
framework, the probed range of H
0 (within 1σ) overlaps the H
0 value inferred from Planck
CMB dataset by ACDM model.
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