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The Thermodynamic Velocity of Particles (Photons) Constituting the Cosmic Microwave Background: A New Thermodynamic Energy Law for the Hubble Sphere

28 January 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We will claim the velocity of the particles making up the CMB must be given by v_{cmb}=sqrt{k_bT_cmb/m_g}=c, where $k_b$ is the Boltzmann constant and T_cmb is the CMB temperature. This we will see leads to several interesting results such as the Hubble energy law: E_c=Nm_gv_cmb^2=Nm_gc^2=Nk_bT_cmb=T_p^3/T_0^2k_b/64 \pi^2. The findings here are fully consistent with the recent geometric mean approach of finding the CMB temperature by Haug and Tatum and also other related work we will refer to. }

Keywords

CMB temperature
Planck temperature
Velocity of CMB particles
thermodynamic energy law of Hubble sphere

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