Natural Covariant Planck Scale Cutoffs and the Cosmic Microwave Background Spectrum

University of Illinois Press, Chicago, IL, 1949

C. Shannon, The Mathematical Theory of Communication · 1949

Earlier work this paper cites.

H. J. Landau, “Necessary density conditions for sampling and interpolation of certain entire functions,” Acta Mathematica

1967

Earlier work this paper cites.

George G. Harrap, 1968

M. Naimark and W. Everitt, Linear differential operators, part 2 · 1968

Earlier work this paper cites.

A. Jerri, “The Shannon sampling theorem - its various extensions and applications: A tutorial review,” Proc. IEEE

1977

Earlier work this paper cites.

Cambridge University Press, 1982

N. Birrell and P. Davies, Quantum Fields in Curved Space · 1982

Earlier work this paper cites.

T. Padmanabhan, “Acceptable density perturbations from inflation due to quantum gravitational damping,” Phys. Rev. Lett

1988

Earlier work this paper cites.

T. Padmanabhan, T. R. Seshadri, and T. P. Singh, “Making inflation work: Damping of density perturbations due to planck energy cutoff,” Phys. Rev. D

1989

Earlier work this paper cites.

D. Polarski and A. A. Starobinsky, “Semiclassicality and decoherence of cosmological perturbations,” Class. Quant. Grav

1996

Earlier work this paper cites.

C. Kiefer, D. Polarski, and A. A. Starobinsky, “Quantum-to-classical transition for fluctuations in the early universe,” Int. J. Mod. Phys. D

1998

Earlier work this paper cites.

T. Jacobson, “Trans-planckian redshifts and the substance of the space-time river,” Prog. Theor. Phys. Supp

Original

1999

Earlier work this paper cites.

R. H. Brandenberger, “Principles, progress, and problems in inflationary cosmology,” AAPPS Bulletin

2001

Earlier work this paper cites.

A. Kempf, “Mode generating mechanism in inflation with a cutoff,” Phys. Rev. D

2001

Earlier work this paper cites.

J. Martin and R. H. Brandenberger, “Trans-planckian problem of inflationary cosmology,” Phys. Rev. D

2001

Cited alongside, same era.

A. Kempf and J. C. Niemeyer, “Perturbation spectrum in inflation with a cutoff,” Phys. Rev. D

2001

Cited alongside, same era.

R. H. Brandenberger and J. Martin, “The robustness of inflation to changes in super-planck-scale physics,” Modern Physics Letters A

2001

Cited alongside, same era.

R. Easther, B. R. Greene, W. H. Kinney, and G. Shiu, “Inflation as a probe of short distance physics,” Phys. Rev. D

2001

Cited alongside, same era.

J. C. Niemeyer, “Inflation with a planck-scale frequency cutoff,” Phys. Rev. D

2001

Cited alongside, same era.

R. H. Brandenberger and J. Martin, “On signatures of short distance physics in the cosmic microwave background,” Int. J. Mod. Phys

R. Easther, W. H. Kinney, and H. Peiris, “Boundary effective field theory and trans-planckian perturbations: astrophysical implications,” J. Cosmol. Astropart. Phys

2005

Later among the works it cites.

B. R. Greene, K. Schalm, G. Shiu, and J. P. van der Schaar, “Decoupling in an expanding universe: backreaction barely constrains short distance effects in the cosmic microwave background,” J. Cosmol. Astropart. Phys

2005

Later among the works it cites.

L. Sriramkumar and T. Padmanabhan, “Initial state of matter fields and trans-planckian physics: Can cmb observations disentangle the two?,” Phys. Rev. D

2005

Later among the works it cites.

Springer Science & Business Media, 2005

W. Amrein, A. M. Hinz, and D. Pearson, eds., Sturm-Liouville theory: past and present · 2005

Later among the works it cites.

No. 121. American Mathematical Soc., 2005

A. Zettl, Sturm-Liouville theory · 2005

Later among the works it cites.