Abstract
Motivated by the works on equivalence principle in the context of linear generalized uncertainty principle and, independently, in the context of quadratic generalized uncertainty principle, we expand these endeavors in the context of generalized uncertainty principle when both linear and quadratic terms in momentum are include. We demonstrate how the definitions of equations of motion change upon that expansion. We also show how to obtain an analogue of Liouville theorem in the presence of linear and quadratic generalized uncertainty principle. We employ the corresponding modified invariant unit volume of phase space to discuss the resulting density of states, the problem of cosmological constant, the black body radiation in curved spacetime, the concurrent energy and consequent no Brick Wall entropy.
Highlights
This commutation relation is associated to the outcome of a perturbative solution, up to third order, ψ ∼ eix/ xmin of Schrödinger equation such that it is endowed with a periodic nature of minimal length xmin = α0 p, suggesting that spacetime has a discrete nature [11]
Motivated by the unexpected ramification upon employing linear and quadratic GUP (LQGUP) to no-cloning theorem [34], we discuss the consequences of applying the LQGUP on the characteristics of the momenta distribution in phase space, IR/UV behaviors
It is shown that in quadratic generalized uncertainty principle (GUP) (QGUP) of Ref. [20] that the UV behavior is convergent, while it is divergent in linear GUP (LGUP) of Ref. [22]
Summary
Chang et al [20] used the quadratic GUP (QGUP), i.e., GUP with a quadratic term in momentum, to study its effect on the UV/IR momentum behavior and the implications on density of states and the cosmological constant problem.. Chang et al [20] used the quadratic GUP (QGUP), i.e., GUP with a quadratic term in momentum, to study its effect on the UV/IR momentum behavior and the implications on density of states and the cosmological constant problem.1 They concluded that holography in a cosmological background might introduce another scale other than. The number of degrees of freedom contributing to the vacuum energy density would be very small Following this line of research, one of the authors, namely AFA, did the same calculations [22] upon considering only the linear GUP (LGUP), i.e., GUP with a linear term in momentum. It should be stressed that the violation of equivalence principle obtained here agrees with that obtained from tidal forces in the domains of string theory [6,24]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
