An Energy-Based Derivation of Lorentz Transformation in One Inertial Frame

The special theory of relativity is classically interpreted in terms of space-time symmetry, with the Lorentz transformation modifying the Galilean transformation as required to translate between 4-dimensional inertial frames as defined by Einstein and developed in relativistic texts (1..6). We begin here an energy-time asymmetrical interpretation based on multiplying the Galilean transformation by an energy factor representing the difference in energy between a system at rest and a system moving with velocity , both systems existing in one universal inertial frame. Detailed consequences of this energy-time interpretation of Lorentz-based physics will be treated in following papers.