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Weighing Cosmological Models with SNe Ia and Gamma Ray Burst Redshift Data

Macronix Research Corporation, 9 Veery Lane, Ottawa, ON K1J 8X4, Canada
Universe 2019, 5(5), 102; https://doi.org/10.3390/universe5050102
Received: 12 March 2019 / Revised: 26 April 2019 / Accepted: 28 April 2019 / Published: 3 May 2019
Many models have been proposed to explain the intergalactic redshift using different observational data and different criteria for the goodness-of-fit of a model to the data. The purpose of this paper is to examine several suggested models using the same supernovae Ia data and gamma-ray burst (GRB) data with the same goodness-of-fit criterion and weigh them against the standard Lambda cold dark matter model (ΛCDM). We have used the redshift—distance modulus (zμ) data for 580 supernovae Ia with 0.015 ≤ z ≤ 1.414 to determine the parameters for each model and then use these model parameter to see how each model fits the sole SNe Ia data at z = 1.914 and the GRB data up to z = 8.1. For the goodness-of-fit criterion, we have used the chi-square probability determined from the weighted least square sum through non-linear regression fit to the data relative to the values predicted by each model. We find that the standard ΛCDM model gives the highest chi-square probability in all cases albeit with a rather small margin over the next best model—the recently introduced nonadiabatic Einstein de Sitter model. We have made (zμ) projections up to z = 1096 for the best four models. The best two models differ in μ only by 0.328 at z = 1096, a tiny fraction of the measurement errors that are in the high redshift datasets. View Full-Text
Keywords: galaxies; supernovae; GRB; distances and redshifts; cosmic microwave background radiation; distance scale; cosmology theory; cosmological constant; Hubble constant; general relativity; TMT galaxies; supernovae; GRB; distances and redshifts; cosmic microwave background radiation; distance scale; cosmology theory; cosmological constant; Hubble constant; general relativity; TMT
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Gupta, R.P. Weighing Cosmological Models with SNe Ia and Gamma Ray Burst Redshift Data. Universe 2019, 5, 102.

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