On the variable fine structure constant, strings and maximal-acceleration phase space relativity

International Journal of Modern Physics A

Volumn 18, Issue 29, 2003, Pages 5445-5473

  Castro, Carlos ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

Cosmology; Fine structure constant; Maximal acceleration relativity; Strings

Indexed keywords

ARTICLE; ATOM; CALCULATION; COSMOLOGICAL PHENOMENA; COSMOS; ELECTRON; ENERGY; GEOMETRY; LIGHT; MATHEMATICAL ANALYSIS; MAXIMAL ACCELERATION PHASE SPACE RELATIVITY; PHYSICAL MODEL; PHYSICS; PREDICTION; QUANTITATIVE ANALYSIS; SPACE; TENSION; TIME; VACUUM; VELOCITY;

EID: 0348155673     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X0301646X     Document Type: Article

References (57)

1. C. Castro, "The programs of the extended relativity in C-spaces, towards the physical foundations of string theory," hep-th/0205065, to appear in the Proceedings of the NATO Advanced Workshop on the Nature of Time, Geometry, Physics and Perception, Tatranska Lomnica, Slovakia, (Kluwer Academic Publishers, 2002); "Non-commutative quantum mechanics and geometry from the quantization of C-spaces," hep-th/0206181; "Maximal-acceleration phase space relativity from Clifford algebras," hep-th/0208138.
2. C. Castro, "The programs of the extended relativity in C-spaces, towards the physical foundations of string theory," hep-th/0205065, to appear in the Proceedings of the NATO Advanced Workshop on the Nature of Time, Geometry, Physics and Perception, Tatranska Lomnica, Slovakia, (Kluwer Academic Publishers, 2002); "Non-commutative quantum mechanics and geometry from the quantization of C-spaces," hep-th/0206181; "Maximal-acceleration phase space relativity from Clifford algebras," hep-th/0208138.
3. C. Castro, "The programs of the extended relativity in C-spaces, towards the physical foundations of string theory," hep-th/0205065, to appear in the Proceedings of the NATO Advanced Workshop on the Nature of Time, Geometry, Physics and Perception, Tatranska Lomnica, Slovakia, (Kluwer Academic Publishers, 2002); "Non-commutative quantum mechanics and geometry from the quantization of C-spaces," hep-th/0206181; "Maximal-acceleration phase space relativity from Clifford algebras," hep-th/0208138.
4. L. Nottale, Fractal Spacetime and Microphysics, Towards Scale Relativity (World Scientific, Singapore, 1992); "La Relativite dans tous ses etats," Hachette Literature Paris, 1999.
5. L. Nottale, Fractal Spacetime and Microphysics, Towards Scale Relativity (World Scientific, Singapore, 1992); "La Relativite dans tous ses etats," Hachette Literature Paris, 1999.
6. M. Pavsic, The Landscape of Theoretical Physics: A Global View. From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle (Kluwer Academic Publishers, 2001), p. 119. "Clifford space as the arena for physics," gr-qc/0211085; Found. Phys. 31, 1185 (2001).
7. M. Pavsic, The Landscape of Theoretical Physics: A Global View. From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle (Kluwer Academic Publishers, 2001), p. 119. "Clifford space as the arena for physics," gr-qc/0211085; Found. Phys. 31, 1185 (2001).
8. M. Pavsic, The Landscape of Theoretical Physics: A Global View. From Point Particles to the Brane World and Beyond, in Search of a Unifying Principle (Kluwer Academic Publishers, 2001), p. 119. "Clifford space as the arena for physics," gr-qc/0211085; Found. Phys. 31, 1185 (2001).
9. E. Caianiello, Lett. Nuovo Cimento 32, 65 (1981).
10. V. Nesterenko, Class. Quantum Grav. 9, 1101 (1992); Phys. Lett. B327, 50 (1994); V. Bozza, A. Feoli, G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A283, 53 (2001); V. Nesterenko, A. Feoli, G. Lambiase and G. Scarpetta, Phys. Rev. D60, 065001 (1999).
11. V. Nesterenko, Class. Quantum Grav. 9, 1101 (1992); Phys. Lett. B327, 50 (1994); V. Bozza, A. Feoli, G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A283, 53 (2001); V. Nesterenko, A. Feoli, G. Lambiase and G. Scarpetta, Phys. Rev. D60, 065001 (1999).
12. V. Nesterenko, Class. Quantum Grav. 9, 1101 (1992); Phys. Lett. B327, 50 (1994); V. Bozza, A. Feoli, G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A283, 53 (2001); V. Nesterenko, A. Feoli, G. Lambiase and G. Scarpetta, Phys. Rev. D60, 065001 (1999).
13. V. Nesterenko, Class. Quantum Grav. 9, 1101 (1992); Phys. Lett. B327, 50 (1994); V. Bozza, A. Feoli, G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A283, 53 (2001); V. Nesterenko, A. Feoli, G. Lambiase and G. Scarpetta, Phys. Rev. D60, 065001 (1999).
14. H. Brandt, Contemp. Math. 196, 273 (1996); Chaos, Solitons and Fractals 10 (2-3), 267 (1999).
15. H. Brandt, Contemp. Math. 196, 273 (1996); Chaos, Solitons and Fractals 10 (2-3), 267 (1999).
16. M. Pavsic, Phys. Lett. B205, 231 (1988); B221, 264 (1989); H. Arodz, A. Sitarz and P. Wegrzyn, Acta Physica Polonica B20, 921 (1989); M. Plyushchay, "Comment on the relativistic particle with curvature and torsion of world trajectory," hep-th/9810101.
17. M. Pavsic, Phys. Lett. B205, 231 (1988); B221, 264 (1989); H. Arodz, A. Sitarz and P. Wegrzyn, Acta Physica Polonica B20, 921 (1989); M. Plyushchay, "Comment on the relativistic particle with curvature and torsion of world trajectory," hep-th/9810101.
18. M. Pavsic, Phys. Lett. B205, 231 (1988); B221, 264 (1989); H. Arodz, A. Sitarz and P. Wegrzyn, Acta Physica Polonica B20, 921 (1989); M. Plyushchay, "Comment on the relativistic particle with curvature and torsion of world trajectory," hep-th/9810101.
19. M. Pavsic, Phys. Lett. B205, 231 (1988); B221, 264 (1989); H. Arodz, A. Sitarz and P. Wegrzyn, Acta Physica Polonica B20, 921 (1989); M. Plyushchay, "Comment on the relativistic particle with curvature and torsion of world trajectory," hep-th/9810101.
20. F. Schuller, Ann. Phys. 299, 174 (2002).
21. A. Chernitskii, "Born-Infeld electrodynamics, Clifford numbers and spinor representations," hep-th/0009121.
22. J. Lukierski, A. Nowicki, H. Ruegg and V. Tolstoy, Phys. Lett. 264, 331 (1991); J. Lukierski, H. Ruegg and W. Zakrzewski, Ann. Phys. 243, 90 (1995); J. Lukierski and A. Nowicki, "Double special relativity versus kappa-deformed dynamics," hep-th/0203065.
23. J. Lukierski, A. Nowicki, H. Ruegg and V. Tolstoy, Phys. Lett. 264, 331 (1991); J. Lukierski, H. Ruegg and W. Zakrzewski, Ann. Phys. 243, 90 (1995); J. Lukierski and A. Nowicki, "Double special relativity versus kappa-deformed dynamics," hep-th/0203065.
24. J. Lukierski, A. Nowicki, H. Ruegg and V. Tolstoy, Phys. Lett. 264, 331 (1991); J. Lukierski, H. Ruegg and W. Zakrzewski, Ann. Phys. 243, 90 (1995); J. Lukierski and A. Nowicki, "Double special relativity versus kappa-deformed dynamics," hep-th/0203065.
25. J. Webb, M. Murphy, V. Flambaum, V. Dzuba, J. Barrow, C. Churchill, J. Prochaska and A. Wolfe, Mon. Not. R. Astron. Soc. 327, 1208 (2001); J. P. Uzan, "The fundamental constants and their variations: Observational status and theoretical motivations," hep-ph/0205340.
26. J. Webb, M. Murphy, V. Flambaum, V. Dzuba, J. Barrow, C. Churchill, J. Prochaska and A. Wolfe, Mon. Not. R. Astron. Soc. 327, 1208 (2001); J. P. Uzan, "The fundamental constants and their variations: Observational status and theoretical motivations," hep-ph/0205340.
27. G. Lambiase, G. Papini and G. Scarpetta, "Maximal acceleration corrections to the Lamb shift of one electron atoms," hep-th/9702130; G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A224, 349 (1998); G. Papini, "Shadows of a maximal acceleration," gr-qc/0211011.
28. G. Lambiase, G. Papini and G. Scarpetta, "Maximal acceleration corrections to the Lamb shift of one electron atoms," hep-th/9702130; G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A224, 349 (1998); G. Papini, "Shadows of a maximal acceleration," gr-qc/0211011.
29. G. Lambiase, G. Papini and G. Scarpetta, "Maximal acceleration corrections to the Lamb shift of one electron atoms," hep-th/9702130; G. Lambiase, G. Papini and G. Scarpetta, Phys. Lett. A224, 349 (1998); G. Papini, "Shadows of a maximal acceleration," gr-qc/0211011.
30. J. Peebles, Principles of Physical Cosmology, The Princeton Series in Physics (Princeton University Press, 1993); J. V. Narlikar and T. Padmanabhan, Gravity, Gauge Theories and Quantum Cosmology (Kluwer Academic, Dordrecht, 1986).
31. J. Peebles, Principles of Physical Cosmology, The Princeton Series in Physics (Princeton University Press, 1993); J. V. Narlikar and T. Padmanabhan, Gravity, Gauge Theories and Quantum Cosmology (Kluwer Academic, Dordrecht, 1986).
32. M. Kafatos, S. Roy and R. Amoroso, "Scaling in cosmology and the arrow of time," Studies on the Structure of Time, ed. Buccheri et al. (Kluwer Academic, Plenum Publishers, New York, 2000), pp. 191-200; J. Glanz, Science 282, 2156 (1998).
33. M. Kafatos, S. Roy and R. Amoroso, "Scaling in cosmology and the arrow of time," Studies on the Structure of Time, ed. Buccheri et al. (Kluwer Academic, Plenum Publishers, New York, 2000), pp. 191-200; J. Glanz, Science 282, 2156 (1998).
34. L. Castellani, Phys. Lett. B327, 22 (1994); Commun. Math. Phys. 171, 383 (1995).
35. L. Castellani, Phys. Lett. B327, 22 (1994); Commun. Math. Phys. 171, 383 (1995).
36. G. Amelino-Camelia, Phys. Lett. B510, 255 (2001); Int. J. Mod. Phys. D11, 35 (2002); G. Amelino-Camelia and T. Piran, Phys. Rev. D64, 0360005 (2001); G. Amelino-Camelia, J. Ellis, N. Mavromatos, D. Nanopoulos and S. Sarkar, Nature 393, 763 (1998).
37. G. Amelino-Camelia, Phys. Lett. B510, 255 (2001); Int. J. Mod. Phys. D11, 35 (2002); G. Amelino-Camelia and T. Piran, Phys. Rev. D64, 0360005 (2001); G. Amelino-Camelia, J. Ellis, N. Mavromatos, D. Nanopoulos and S. Sarkar, Nature 393, 763 (1998).
38. G. Amelino-Camelia, Phys. Lett. B510, 255 (2001); Int. J. Mod. Phys. D11, 35 (2002); G. Amelino-Camelia and T. Piran, Phys. Rev. D64, 0360005 (2001); G. Amelino-Camelia, J. Ellis, N. Mavromatos, D. Nanopoulos and S. Sarkar, Nature 393, 763 (1998).
39. G. Amelino-Camelia, Phys. Lett. B510, 255 (2001); Int. J. Mod. Phys. D11, 35 (2002); G. Amelino-Camelia and T. Piran, Phys. Rev. D64, 0360005 (2001); G. Amelino-Camelia, J. Ellis, N. Mavromatos, D. Nanopoulos and S. Sarkar, Nature 393, 763 (1998).
40. S. Rama, "Classical velocity in kappa-deformed Poincaré algebra and a maximal acceleration," hep-th/0209129.
41. S. Low, J. Phys. A: Math. Gen. 35, 5711 (2002).
42. C. Castro and M. Pavsic, Phys. Lett. B539, 133 (2002); C. Castro and M. Pavsic, "The Clifford algebra of spacetime and the conformal group," hep-th/0203194; A. Aurilia, C. Castro and M. Pavsic, "C-space electrodynamics," in preparation.
43. C. Castro and M. Pavsic, Phys. Lett. B539, 133 (2002); C. Castro and M. Pavsic, "The Clifford algebra of spacetime and the conformal group," hep-th/0203194; A. Aurilia, C. Castro and M. Pavsic, "C-space electrodynamics," in preparation.
44. C. Castro and M. Pavsic, Phys. Lett. B539, 133 (2002); C. Castro and M. Pavsic, "The Clifford algebra of spacetime and the conformal group," hep-th/0203194; A. Aurilia, C. Castro and M. Pavsic, "C-space electrodynamics," in preparation.
45. W. Pezzaglia, "Dimensionally democratic calculus and principles of polydimensional physics," gr-qc/9912025; "Physical applications of generalized Clifford calculus: Papatetrou equations and metamorphic curvature," gr-qc/9710027; "Classification of multivector theories and modification of the postulates of physics," gr-qc/9306006.
46. W. Pezzaglia, "Dimensionally democratic calculus and principles of polydimensional physics," gr-qc/9912025; "Physical applications of generalized Clifford calculus: Papatetrou equations and metamorphic curvature," gr-qc/9710027; "Classification of multivector theories and modification of the postulates of physics," gr-qc/9306006.
47. W. Pezzaglia, "Dimensionally democratic calculus and principles of polydimensional physics," gr-qc/9912025; "Physical applications of generalized Clifford calculus: Papatetrou equations and metamorphic curvature," gr-qc/9710027; "Classification of multivector theories and modification of the postulates of physics," gr-qc/9306006.
48. J. Rembielinski and K. Smolinski, "Unphysical predictions of some double special relativity theories," hep-th/0207031.
49. N. Bruno, "Group of boosts and rotations in double special relativity," gr-qc/0207076.
50. M. Born, Proc. R. Soc. A165, 291 (1938); Rev. Mod. Phys. 21, 463 (1949).
51. M. Born, Proc. R. Soc. A165, 291 (1938); Rev. Mod. Phys. 21, 463 (1949).
52. K. Greisen, Phys. Rev. Lett. 16, 748 (1966); G. T. Zatsepin and V. Kurmin, Sov. Phys. JETP Lett. 4, 78 (1966).
53. K. Greisen, Phys. Rev. Lett. 16, 748 (1966); G. T. Zatsepin and V. Kurmin, Sov. Phys. JETP Lett. 4, 78 (1966).
54. T. Jacobson, S. Liberati and D. Mattingly, "Lorentz violation and crab synchroton emission: A new constriant far beyond the Planck scale," astro-ph/0212190.
55. A. Aurilia, S. Ansoldi, C. Castro and E. Spaluuci, Phys. Rev. D64, 0260003 (2001).
56. S. Vacaru and N. Vicol, "Nonlinear connections and Clifford structures," math.DG/0205190; S. Vacaru, "(Non)commutative Finsler geometry from string/M theory," hep-th/0211068.
57. S. Vacaru and N. Vicol, "Nonlinear connections and Clifford structures," math.DG/0205190; S. Vacaru, "(Non)commutative Finsler geometry from string/M theory," hep-th/0211068.