Derivation of Lorentz transformation equations from the new concept of reaction-at-a-distance

In conventional methods, Lorentz transformation equations are derived by considering the motion of light wave front perceived by two observers, one stationary and other one moving. But, as per the new theory of reaction-at-a-distance proposed in our recent paper [B. Dikshit, Phys. Essays 24, 4 (2011)] that establishes a unified picture explaining the two surprising characteristics of light, viz., invariance of speed and wave-particle duality, propagation of light in intermediate space between the source and detector is ruled out. So, there is a need to rederive the Lorentz transformation equations using this theory of reaction-at-a-distance without considering the motion of light wave front in space in any step of the derivations. Using this basic Lorentz transformation, all other conventional relations, viz., length contraction, time dilation, etc., can be proved. A notable advantage of this approach is that it is valid for all types of interactions (electromagnetic and gravitational) between the observer and the body being observed. (C) 2011 Physics Essays Publication. [DOI: 10.4006/1.3643463]