A Peculiar Cosmology from Supernovae Type 1a and The Derivation of G

This is an older version of my paper which included a derivation of G, but I am backing off that part of the analysis for now.

A Peculiar Cosmology from Supernovae Type 1a

and

The Derivation of G

by

Berry Cottrell Ives

Abstract

A revised Hubble-type relationship is presented based on v/(c-v) = H₀D +  I₀D². The analysis was initially performed using the SCP Union1 dataset (307 SN1a), and repeated with the Union2 dataset (557 SN1a) and the Union2.1 dataset (580 SN1a).  The estimated equation from Union2.1 is:  v/(c-v) = 0.069789D - 0.00020310D², with units in Gly and Gyr.  In conventional units, estimated H₀ is 68.24 km/sec per Mpc, very close to the value 67.80 (0.77) km/sec per Mpc published in the Planck satellite CMB studies.  

Universal scale is postulated as derived from v/(c-v).  A universe in a state of accelerated contraction is inferred.  The maximum expanded state is estimated to have been 185.6 Gly in radius, 171.8 Gyr ago, and the current radius is estimated at 26.53 Gly.  A big bounce scenario appears consistent with the parabolic path of the past expansion and current contraction eras, with a full cycling period of about 371 Gyr.  The end of the current contraction era is estimated to occur 13.777 Gyr in the future. 

The value of the Newtonian gravitational constant G is based on the acceleration parameter, I₀.  G is found to vary over time with the square of the radius of the universe.  The theoretically derived value for G in the present is 5.860 m³kg^-1s^-2, which is about 12% less than the consensus value of 6.674 m³kg^-1s^-2.  This relative error is considered remarkable in the context of the extreme range of magnitudes and error terms of the input values.