Study of a formalism modeling massive particles at the speed of light on a Machian basis

Abstract

In this paper we develop a formalism which models all massive particles as travelling at the speed of light(c). This is done by completing the 3-velocity v of a test particle to the speed of light by adding an auxiliary 3-velocity component z for the particle. According to the observations and laws of physics defined in our spacetime these vectors are generalized to domains and then two methods are developed to define c domain in terms of our spacetime(v domain). By using these methods the formalism is applied on relativistic quantum theory and general theory of relativity. From these, the relation between the formalism and Mach's principle is investigated. The ideas and formulae developed from application of the formalism on general relativity are compared with the characteristics of anomalous accelerations detected on Pioneer 10/11, Ulysses and Galileo spacecrafts and an explanation according to the formalism is suggested. Possible relationships between Mach's principle and the nondeterministic nature of the universe are also explored. In this study Mach's principle, on which current debate still continues, is expressed from an unconventional point of view, as a naturally arising consequence of the formalism, and the approaches are simplified accordingly.