TITLE:
A Mathematical Model for Redshift
AUTHORS:
Peter Y. P. Chen
KEYWORDS:
Redshift, Mathematical Modelling, Model Scaling, Nonlinear Schrödinger Equation, Numerical Solution, Stable Propagating Waves
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.3,
March
10,
2020
ABSTRACT: We have used model scaling so that the propagation of light through space could be studied using the well-known nonlinear Schrödinger equation. We have developed a set of numerical procedures to obtain a stable propagating wave so that it could be used to find out how wavelength could increase with distance travelled. We have found that broadening of wavelength, expressed as redshift, is proportional to distance, a fact that is in agreement with many physical observations by astronomers. There are other reasons for redshifts that could be additional to the transmission redshift, resulting in the deviation from the linear relationship as often observed. Our model shows that redshift needs not be the result of an expanding space that is a long standing view held by many astrophysicists. Any theory about the universe, if bases on an expanding space as physical fact, is open to question.