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On the Eternal Role of Planck Scale in Machian Cosmology

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Submitted:

30 October 2018

Posted:

02 November 2018

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Abstract
With reference to Planck scale, Mach's relation and by introducing two new parameters Gamma and Beta, right from the beginning of Planck scale, we make an attempt to estimate ordinary matter density ratio, dark matter density ratio, mass, radius, temperature, age and expansion velocity (from and about the Planck mass in all directions). In analogy with currently believed cosmic acceleration, with a decreasing trend of total matter density ratio, cosmic expansion velocity can be shown to be increasing. By considering H 0 70 km/sec/Mpc, estimated current cosmic mass, radius, total matter density, expansion velocity, temperature and age are: 4.3352 × 10 53 kg , 3.207 × 10 26 m , 3.138 × 10 27 kg . m - 3 , 2.43 c , 2.721 K and 19.78 Billion years respectively. Point to be noted is that, with reference to Planck scale, cosmic temperature seems to be redshifted by a factor ( Z T ) t 1 + ln ( H p l / H t ) 1 where ( H p l , H t ) represent Planck scale and time dependent Hubble parameters respectively. As a peculiar case, considering the equality of current Hubble parameter and current angular velocity, current cosmic rotational kinetic energy can be estimated to be 0.667 times the current critical energy. It needs further study.
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Subject: Physical Sciences  -   Astronomy and Astrophysics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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