2013Asian Journal of Applied Science and EngineeringRequires access

Neutrino Traveling Faster than Light and Einsteinian and non-Einsteinian Views of Relativity

M.O.G. Talukder, Mushfiq Ahmad

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Abstract

In this paper, we classify the velocity as Galilean and relative. The Galilean velocity can have any value between 0 and ∞ as in Newtonian/classical mechanics, whereas, the relative velocity follows Lorentz – Einstein (L-E) transformation law for addition and cannot exceed the speed of light c. We present the transformation law from Galilean to relative velocity and vise versa. We consider that the velocity in the relativity factor of non-Einsteinian relativistic case is Galilean, since it does not put any restriction on any particle’s velocity being equal to or greater than that of light. On the other hand, using the relativistic multiplication rule of velocities, we demonstrate that the velocity in the relativity factor of Einsteinian relativistic case is relative. Hence, it will remain within the limit of c, even if the corresponding Galilean velocity is much higher than c. We believe that CERN scientists have measured the Galilean velocity of neutrino being slightly higher than c. We demonstrate that the transverse relative mass of neutrino traveling at that speed remains finite in both views of relativity. Thus, in this paper, the dilemma concerning neutrinos traveling faster than light has been resolved.

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What this paper is about

In this paper, we classify the velocity as Galilean and relative. The Galilean velocity can have any value between 0 and ∞ as in Newtonian/classical mechanics, whereas, the relative velocity follows Lorentz – Einstein (L-E) transformation law for addition and cannot exceed the speed of light c. We present the transformation law from Galilean to relative velocity and vise versa. We consider that the velocity in the relativity factor of non-Einsteinian relativistic case is Galilean, since it does not put any restriction on any particle’s velocity being equal to or greater than that of light. On the other hand, using the relativistic multiplication rule of velocities, we demonstrate that the velocity in the relativity factor of Einsteinian relativistic case is relative. Hence, it will remain within the limit of c, even if the corresponding Galilean velocity is much higher than c. We believe that CERN scientists have measured the Galilean velocity of neutrino being slightly higher than c. We demonstrate that the transverse relative mass of neutrino traveling at that speed remains finite in both views of relativity. Thus, in this paper, the dilemma concerning neutrinos traveling faster than light has been resolved.

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Available abstract

In this paper, we classify the velocity as Galilean and relative. The Galilean velocity can have any value between 0 and ∞ as in Newtonian/classical mechanics, whereas, the relative velocity follows Lorentz – Einstein (L-E) transformation law for addition and cannot exceed the speed of light c. We present the transformation law from Galilean to relative velocity and vise versa. We consider that the velocity in the relativity factor of non-Einsteinian relativistic case is Galilean, since it does not put any restriction on any particle’s velocity being equal to or greater than that of light. On the other hand, using the relativistic multiplication rule of velocities, we demonstrate that the velocity in the relativity factor of Einsteinian relativistic case is relative. Hence, it will remain within the limit of c, even if the corresponding Galilean velocity is much higher than c. We believe that CERN scientists have measured the Galilean velocity of neutrino being slightly higher than c. We demonstrate that the transverse relative mass of neutrino traveling at that speed remains finite in both views of relativity. Thus, in this paper, the dilemma concerning neutrinos traveling faster than light has been resolved.

Key concepts: Galilean, Galilean invariance, Relative velocity, Physics, Galilean transformation, Theory of relativity, Classical mechanics, Speed of light (cellular automaton)

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