Fields with finite information density

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 69, Issue 12, 2004, Pages

  Kempf, Achim ^a  

^a PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3843107876     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.69.124014     Document Type: Article

References (31)

1. D.J. Gross and P.F. Mende, Nucl. Phys. B303, 407 (1988)
2. D. Amati, M. Ciafaloni, and G. Veneziano, Phys. Lett. B 216, 41 (1989)
3. A. Kempf, J. Math. Phys. 35, 4483 (1994)
4. D.V. Ahluwalia, Phys. Lett. B 339, 301 (1994)
5. M.-J. Jaeckel and S. Reynaud, Phys. Lett. A 185, 143 (1994)
6. E. Witten, Phys. Today 49, 24 (1996)
7. G. Amelino-Camelia, J. Ellis, N.E. Mavromatos, and D.V. Nanopoulos, Mod. Phys. Lett. A 12, 2029 (1997)
8. A. Kempf and G. Mangano, Phys. Rev. D 55, 7909 (1997).
9. G. ’t Hooft, Class. Quantum Grav. 16, 3263 (1999)
10. J.D. Bekenstein, Acta Phys. Pol. B 32, 3555 (2001)
11. R. Bousso, Phys. Rev. Lett. 90, 121302 (2003)
12. P.S. Custodio and J.E. Horvath, Class. Quantum Grav. 20, L197 (2003).
13. A. Kempf, Phys. Rev. Lett. 85, 2873 (2000).
14. A. Kempf, Method for monitoring information density and compressing digitized signals, US patent No. 6,531,971 B2, 2003.
15. A. Kempf, Phys. Rev. Lett. 92, 221301 (2004).
16. C.E. Shannon, Proc. IRE 37, 10 (1949);C.E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Champaign, IL, 1949) (reissued 1998).
17. A.J. Jerri, Proc. IEEE 65, 1565 (1977).
18. R. J. Marks, Introduction to Shannon Sampling and Interpolation Theory (Springer, New York, 1991).
19. A.I. Zayed, J. Math. Anal. Appl. 158, 269 (1991)
20. J. Math. Anal. Appl.A.I. Zayed175, 222 (1993).
21. A. Kempf and P.J.S.G. Ferreira, quant-ph/0305148.
22. Y.I. Lyubarskii and K. Seip, J. Fourier Anal. Appl. 3, 597 (1997).
23. M.H. Annaby, Math. Methods Appl. Sci. 21, 361 (1998).
24. N. I. Akhiezer and I. M. Glazman, Theory of Linear Operators in Hilbert Space (Dover, New York, 1993).
25. Y. Aharonov, J. Anandan, S. Popescu, and L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
26. M. Berry, in Proceedings of the International Conference on Fundamental Aspects of Quantum Theory, Columbia, South Carolina, 1992, edited by J. S. Anandan and J. L. Safko (World Scientific, Singapore, 1995).
27. M.V. Berry, J. Phys. A 27, L391 (1994).
28. A. Kempf, J. Math. Phys. 41, 2360 (2000).
29. H.J. Landau, Proc. IEEE 10, 1701 (1967)
30. H.J. LandauActa Math. 117, 37 (1967).
31. J. R. Klauder, in Wavelet Applications VI, edited by H. H. Szu, Proc. SPIE, Vol. 3723 (SPIE, Bellingham, WA, 1999), p. 44.