Fetching the paper…

Reading the bibliography…

Cosmology with minimal length uncertainty relations · Around

2008

Cosmology with minimal length uncertainty relations

Vakili, Babak

Original
PDF
Post on X

Understand

We study the effects of the existence of a minimal observable length in the phase space of classical and quantum de Sitter (dS) and Anti de Sitter (AdS) cosmology.

Since this length has been suggested in quantum gravity and string theory, its effects in the early universe might be expected.
Adopting the existence of such a minimum length results in the Generalized Uncertainty Principle (GUP), which is a deformed Heisenberg algebra between minisuperspace variables and their momenta operators.
We extend these deformed commutating relations to the corresponding deformed Poisson algebra in the classical limit.

Built on

W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics
1966
Earlier work this paper cites.
D. J. Gross and P. F. Mende, Nucl. Phys
1988
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, Phys. Lett
1989
Earlier work this paper cites.
M. Kato, Phys. Lett
1990
Earlier work this paper cites.
K. Konishi, G. Paffuti and P. Provero, Phys. Lett
1990
Earlier work this paper cites.
L. G. Garay, Int. J. Mod. Phys
1995
Earlier work this paper cites.
A. Kempf, G. Mangano and R. B. Mann, Phys. Rev
1995
Earlier work this paper cites.
E. Witten, Phys. Today
1996
Earlier work this paper cites.
H. Hinvichsen and A. Kempf, J. Math. Phys
1996
Earlier work this paper cites.

Similar

A. Kempf and G. Mangano, Phys. Rev
1997
Cited alongside, same era.
S. de Haro, J. High Energy Phys
1998
Cited alongside, same era.
F. Scardigli, Phys. Lett
1999
Cited alongside, same era.
M. Maggiore, Phys. Lett
1999
Cited alongside, same era.
F. Brau, J. Phys
1999
Cited alongside, same era.
S. Capozziello, G. Lambiase and G. Scarpetta, Int. J. Theor. Phys
2000
Cited alongside, same era.
A. Kempf, Phys. Rev
2002
Cited alongside, same era.
S. Benczik, et al., Phys. Rev

Then

S. Hossenfelder, M. Bleicher, S. Hofmann, J. Ruppert, S. Scherer and H. Stöcker, Phys. Lett
2003
Later among the works it cites.
A. Ashoorioon and R.B. Mann, Nucl. Phys
2003
Later among the works it cites.
K. Nozari and T. Azizi, Gen. Rel. Grav
2006
Later among the works it cites.
K. Nozari and S. Akhshabi, On the Stability of Planetary Circular Orbits in Noncommutative Spaces
2007
Later among the works it cites.
H. Garcia-Compean, O. Obregon and C. Ramirez, Phys. Rev. Lett
2007
Later among the works it cites.
M. V. Battisti and G. Montani, Phys. Lett
2008
Closest in time.
M. V. Battisti and G. Montani, AIP Conf. Proc

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2002

Cited alongside, same era.

R. Akhoury and Y. P. Yao, Phys. Lett

2003

Cited alongside, same era.

S. F. Hassan and M. S. Sloth, Nucl. Phys

Cited in the paper.

2008

Closest in time.

B. Vakili, H. R. Sepangi, Phys. Lett

2008

Closest in time.