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

• Published in: Physics letters. B 2023-03, Vol.838, p.137753, Article 137753
• Main Authors: Soares, Bráulio Batista, Barboza, Edésio Miguel, Abreu, Everton M.C., Neto, Jorge Ananias
• Format: Article
• Language: English
• Subjects: Chemical potential; Hubble constant; Unruh temperature
• ISSN: 0370-2693; 1873-2445
• DOI: 10.1016/j.physletb.2023.137753

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. •Using temperature and acceleration from Unruh effect to establish the link to the generalized chemical potential.•Friedmann-Lemaître equations provide constraints for Hubble parameter along with such a generalized chemical potential.•Generalized chemical potential and cosmological constant show interdependence.•Novel relation with generalized chemical potential for Hubble parameter is determined.