Abstract

The Lorentz transformation is derived without assuming that the velocity of light is a constant. This suggests that the constantc which appears in the transformation has a deeper significance than heretofore commonly assumed. It is hypothesized that there exists, in all of physical reality, velocities of only one magnitude. The magnitude isc, the speed of light in vacuum. This hypothesis forces us to view a fundamental particle as an extended object and matter in general as a field ρ(t, r, θ), which we give the generic name “stuff.” An important feature of the ρ field is that at each spacetime point(t, r) stuff travels in all directions θ with speedc. In order to elucidate the nature of ρ(t, r, θ), the equations determining ρ for a one-dimensional world are derived and solved. Fundamental particles are shown to exist and their structure is obtained