*Abstract* We propose here two new transformations between inertial frames that apply for relative velocities greater than the speed of light, and that are complementary to the Lorentz transformation, giving rise to the Einstein special theory of relativity that applies to relative velocities less than the speed of light. The new transformations arise from the same mathematical framework as the Lorentz transformation, displaying singular behaviour when the relative velocity approaches the speed of light and generating the same addition law for velocities, but, most importantly, do not involve the need to introduce imaginary masses or complicated physics to provide well-defined expressions. Making use of the dependence on relative velocity of the Lorentz transformation, the paper provides an elementary derivation of the new transformations between inertial frames for relative velocities v in excess of the speed of light c, and further we suggest two possible criteria from which one might infer one set of transformations as physically more likely than the other. If the energy-momentum equations are to be invariant under the new transformations, then the mass and energy are given, respectively, by the formulae m=(pinf/c)[(v/c)2 - 1]-1/2 and e=mc2 where pinf denotes the limiting momentum for infinite relative velocity. If, however, the requirement of invariance is removed, then we may propose new mass and energy equations, and an example having finite non-zero mass in the limit of infinite relative velocity is given. In this highly controversial topic, our particular purpose is not to enter into the merits of existing theories, but rather to present a succinct and carefully reasoned account of a new aspect of Einstein's theory of special relativity, which properly allows for faster than light motion.
Read more at: http://phys.org/news/2012-10-physicists-special-relativity.html#jCp On Tue, Mar 4, 2014 at 1:35 PM, D R Lunsford <[email protected]>wrote: > No one will ever take cold fusion seriously if they come here and read > nonsense about how relativity is wrong. All of these specious arguments > focus on the constancy of the speed of light. > > What is never understood is that C isn't the speed of anything in > particular. It is a parameter that characterizes the geometry of spacetime, > which is no longer Euclidean. The structure of this geometry emerges from a > very simple (group theoretic) analysis. The parameter C emerges out of the > analysis and is either finite, or not. Experience shows that it is finite. > The derivation is here, I gave it some years ago and this person has added > commentary, most of which is helpful. Only simple algebra is required. > > That light goes at C is incidental to the existence of a universal > constant with the dimensions of speed. It does so because the corresponding > field is massless. The most important point to be grasped is that one does > not assume C=constant - this comes right out of the symmetry and > homogeneity analysis. Euclidean geometry is also characterized by a > constant - however it is imaginary, and corresponds to the "circular points > at infinity" in projective geometry. > > http://membrane.com/sidd/wundrelat.txt > > -drl > > > -- > "Time flies like an arrow, but fruit flies like a banana." - Marx >
