Hubble Law Extended for the Accelerating Universe

Authors: Hui Peng

Hubble law describes both the uniformly expanding universe originally and then the accelerating universe. We argue that for describing an accelerating system, physics laws should include terms of acceleration for accuracy and completeness. We extend Velocity-Distance and Distance-Redshift relations of Hubble law to Acceleration-Velocity-Distance and Acceleration-Velocity-Distance-Redshift relation of Extended-Hubble-Law (denoted as EHL). The latter contains Doppler effect, Acceleration-Redshift, Hubble’s Distance-Redshift, and the cosmological redshift; and, thus, is appropriate for small and large redshift, slow and fast velocity, near and faraway source. EHL shows: (1) acceleration causes both redshift and the time change of redshift, which may be tested by sound wave; (2) the age of the accelerating universe is older. EHL provides an approach to test jerking motion of the universe. We suggest that EHL is worth to pursue for restudying Hubble law related phenomena including measurement of Hubble constant.

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[v1] 2018-09-09 23:23:27

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