The Einstein Constant c in Light of Mach's Principle. Cosmological Applications

J.-M. Vigoureux1, P. Vigoureux1, B. Vigoureux1
1Laboratoire de Physique Moléculaire, Université de Franche-Comté, Besançon Cedex, France

Tóm tắt

In a recent paper, O. Costa de Beauregard shows that Mach's conjecture can be expressed by the equation U=c 2 (U denoting the cosmological potential). This result leads us to a geometrical interpretation of Einstein's constant c (the so-called velocity of light) which appears as intimately connected to the expansion of the universe. We also present some cosmological consequences of that interpretation for the horizon problem, for the problem of the homogeneity of the cosmic background radiation, and for the problem of the flatness of the universe.

Từ khóa


Tài liệu tham khảo

O. Costa de Beauregard, Found. Phys. Lett. 13, 395 (2000).

O. Costa de Beauregard, Ann. Fond. Louis de Broglie 23, 135 (1999).

J. F. Woodward and T. Mahood, Found. Phys. 29, 899 (1999).

D. W. Sciama, Month. Not. Roy. Astr. Soc. 113, 34 (1953).

R. P. Feynman, F. B. Morinigo, and W. G. Wagner, Feynman Lectures on Gravitation (Addison-Wesley, Reading, MA, 1995).

H. Thirring, Phys. Z. 19, 33 (1918).

H. Thirring and J. Lense, Phys. Z. 19, 156 (1918).

H. Thirring, Phys. A. 22, 29 (1921).

C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1970).

S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).

A. Albrecht and J. Magueijo, Phys. Rev. D 59, 043516 (1999).

P. P. Avelino and C. J. Martins, Phys. Lett. B 459, 468 (1999).

B. Vigoureux, “Interprétation cosmologique de la vitesse de la lumière,” unpublished, 1964.

B. Vigoureux, J.-M. Vigoureux, and P. Vigoureux, “Essai sur une théorie géométrique de l'Univers reliant la vitesse de la lumière à l'expansion de l'Univers,” Ann. Sc. Univ. Franche-Comté, France 4, 19 (1988), and “Cosmological consequences of connecting c to the expansion of the universe,” unpublished, 1993.

B. Vigoureux, J.-M. Vigoureux, and P. Vigoureux, “Connecting c to the expansion of the universe,” Phys. Essays 14(4) (2002).

H. Arzelies, Relativistic Kinematics (Pergamon, New York, 1966).