2010•Physica ScriptaRequires access

A new perspective on relativistic transformation: formulation of the differential Lorentz transformation based on first principles

Young‐Sea Huang

Abstract

The differential Lorentz transformation is formulated solely from the principle of relativity and the invariance of the speed of light. The differential Lorentz transformation transforms physical quantities, instead of space?time coordinates, to keep laws of nature form-invariant among inertial frames. The new relativistic transformation fulfills the principle of relativity, whereas the usual Lorentz transformation of space?time coordinates does not. Furthermore, the new relativistic transformation is compatible with quantum mechanics. The formulation herein provides theoretical foundations for the differential Lorentz transformation as the fundamental relativistic transformation.

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Key concepts: Lorentz transformation, Transformation (genetics), Lorentz factor, Perspective (graphical), Four-momentum, Differential (mechanical device), Physics, Classical mechanics