Using Unruh temperature and generalized chemical potential as alternative pathway to determine the Hubble parameter

Abstract

Hubble constant is found relating velocities and distances of galaxies. Actually Cepheid stars and cosmic background radiation present two distinct values for the Hubble constant. Theoretically such a Hubble parameter naturally emerges from the scale factor variations considered in cosmological models. On the other hand Unruh effect relates temperature to accelerated observers. Such a relation plots a search for physical constraints aiming to justify the referred effect. Here we establish a relation between the Unruh temperature and that one from ensemble fugacity, which can be obtained from an generalized chemical potential. Then, we find a dependence on the quantities involved in the generalized chemical potential for the cosmological constant. Finally, we determine a new relation for the Hubble parameter.

Keywords

• Hubble constant
• Chemical potential
• Unruh temperature