A Peculiar Cosmology from Supernovae Type 1a with Derivations of G and Modified Newtonian Dynamics Acceleration

摘要

A revised Hubble-type relationship is derived from redshift data of supernova type 1a. Estimated H_(0) 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.A universe in a state of accelerated contraction is inferred. The maximum expanded state is estimated to have had a “virtual gravitational radius” of 185.6 Gly which occurred 171.8 Gyr ago, and the current radius is estimated at 26.53 Gly. This radius applies to all observers. 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 about 13.8 Gyr in the future.The value of the Newtonian gravitational constant G is derived based on an acceleration parameter that is estimated along with H_(o). The universal acceleration rate, in the range of 1.03e-10 to 1.16e-10 m/s~(2), is consistent with modified Newtonian dynamics acceleration of astronomical objects, estimated at 1.2(±0.2) e-10 m/s~(2). G is found to vary over time with the square of the gravitational radius. The derived value for G in the present is 5.860 m~(3)kg~(-1)s~(-2), which is about 12% less than the consensus value of 6.674 m~(3)kg~(-1)s~(-2). This relative error is small in the context of this analysis.