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Plausible “faster-than-light” displacements in a two-sheeted spacetime

Fabrice Petit^1,* and Michaël Sarrazin^2,†

¹Belgian Ceramic Research Centre, 4 avenue du gouverneur Cornez, B-7000 Mons, Belgium
²Laboratoire de Physique du Solide, Facultés Universitaires Notre-Dame de la Paix, 61 rue de Bruxelles, B-5000 Namur, Belgium

^*f.petit@bcrc.be
^†michael.sarrazin@fundp.ac.be

Phys. Rev. D 76, 085005 – Published 8 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.085005

Abstract

In this paper, we explore the implications of a two-point discretization of an extra dimension in a five-dimensional quantum setup. We adopt a pragmatic attitude by considering the dynamics of spin-half particles through the simplest possible extension of the existing Dirac and Pauli equations. It is shown that the benefit of this approach is to predict new physical phenomena while maintaining the number of constitutive hypotheses at minimum. As the most striking feature of the model, we demonstrate the possibility of fermionic matter oscillations between the two four-dimensional sections and hyperfast displacements in case of asymmetric warping (without conflicting special relativity). This result, similar to previous reported ones in braneworld theories, is completely original as it is derived by using quantum mechanics only without recourse to general relativity and bulk geodesics calculation. The model allows causal contact between normally disconnected regions. If it proves to be physically founded, its practical aspects could have deep implications for the search of extra dimensions.

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References (18)

Th. Kaluza, Sitz. Preuss. Akad. Wiss. Phys. Math. Kl. LIV, 966 (1921).
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999).
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999).
N. Arkani-Hamed, S. Dimopoulos, G. Dvali, and N. Kaloper, J. High Energy Phys. 12 (2000) 010.
C. Deffayet and J. Mourad, Phys. Lett. B 589, 48 (2004); Classical Quantum Gravity 21, 1833 (2004).
N. Arkani-Hamed and M. D. Schwartz, Phys. Rev. D 69, 104001 (2004).
A. Connes and J. Lott, Nucl. Phys. B, Proc. Suppl. 18, 29 (1991).
N. A. Viet and K. C. Wali, Int. J. Mod. Phys. A 11, 533 (1996).
F. Petit and M. Sarrazin, Phys. Lett. B 612, 105 (2005).
M. Sarrazin and F. Petit, Acta Phys. Pol. B 36, 1933 (2005).
M. Sarrazin and F. Petit, Int. J. Mod. Phys. A 21, 6303 (2006).
M. Sarrazin and F. Petit, Int. J. Mod. Phys. A 22, 2629 (2007).
D. J. H. Chung and K. Freese, Phys. Rev. D 62, 063513 (2000).
It is straightforward to show that the expression (8) of the spin connection is equivalent to the more familiar one $Γ_{A} = \frac{1}{8} ω_{a b A} [γ^{a}, γ^{b}]$ where the connection term is given by the usual expression $ω_{a b A} = η_{a c} ω_{b A}^{c} = η_{a c} e_{B}^{c} (\frac{\partial}{\partial x^{A}} e_{b}^{B} + Γ_{C A}^{B} e_{b}^{C})$ . See for instance T. R. Slatyer and R. R. Volkas, J. High Energy Phys. 04 (2007) 062; or S. L. Parameswarana, S. Randjbar-Daemib, and A. Salvioa, Nucl. Phys. B767, 54 (2007).
S. L. Dubovsky, V. A. Rubakov, and P. G. Tinyakov, Phys. Rev. D 62, 105011 (2000).
R. Gregory, V. A. Rubakov, and S. M. Sibiryakov, Classical Quantum Gravity 17, 4437 (2000).
Lizzi, G. Mangano, and G. Miele, Mod. Phys. Lett. A 16, 1 (2001).
S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (John Wiley & Sons, New York, 1972).

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Plausible “faster-than-light” displacements in a two-sheeted spacetime

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