N-z Relation and CMB Anisotropies in the Universe with an Oscillating Scalar Field Having a Null Field State

TL;DR

This paper explores scalar field models that can simultaneously explain the observed galaxy distribution periodicity and the CMB spectrum, emphasizing the importance of a null scalar field state in early universe evolution.

Contribution

It demonstrates that specific scalar field parameters can fit both galaxy distribution periodicity and CMB data, highlighting the role of a null scalar field state in early cosmology.

Findings

Scalar field models with certain parameters fit the N-z relation and galaxy periodicity.

Null scalar field state in early universe is crucial for matching CMB observations.

Model parameters are constrained by observational data.

Abstract

We investigate whether or nor it is possible to find a scalar field model or models that are capable of explaining simultaneously the observed $N$-$z$ relation given by the 2dF Galaxy Redshift Survey, which still seems to exhibit a spatial periodicity of the galaxy distribution(the 'picket-fence structure'), and the CMB spectrum obtained by the WMAP experiments. It is found that both the observed size of the spatial periodicity and the amplitude of the 2dF $N$-$z$ relation can be fairly well fitted by the theoretical computations based on the scalar field models with $-20\le \xi\le -10$, and $140\le m_{\rm s} \le 160$, where $\xi$ is the gravitational coupling parameter, and $m_{\rm s}$ the normalized mass of the scalar field, respectively. To reproduce the CMB spectrum of the WMAP, we find that it is very crucial to have a null state of the scalar field in the early epochs of evolution of the universe.