A theory of special relativity based on four-displacement of particles instead of Minkowski four-position

Abstract

All Lorentz four-vectors of Special Relativity (SR) are derived from a basic Lorentz four-position in a Minkowski space. This article explores use of a Lorentz four-displacement, describing translatory motion of particles in a 4-dimensional space irrespective of position, as a basic four-vector. Derivations based on this assumption have striking outcomes and impact: All four-vectors of SR associated with frame invariants are intact and valid. All postulates and predictions of SR are intact and valid, with two exceptions - Length contraction in the boost direction and relativity of simultaneity are both obviated. Notably, these two aspects of SR have never been definitively proven in experiments and can therefore be challenged. We propose an adapted SR theory, based on four-displacement of particles, predicting the following revolutionary and far-reaching consequences: 1. 4D-space is absolute and Euclidean relative to which all particles, mass and massless, are never at rest and perform an equal distance of translatory displacement at a universal displacement rate equivalent to the speed of light. Inertial frames of 3D-space+time remain relative. 2. What appear as Lorentz four-vectors in a Minkowski metric of a relative spacetime are actually Lorentz four-vectors in an absolute Euclidian 4D-space. 3. Special Relativity actually emerges from describing properties of particles in 4 momentum-space, irrespective of position and localization in space. In this form, SR achieves inherent compatibility with Quantum theories, reflecting the particle-wave duality of particle fields. 4. Time is a property of mass particles associated with their displacement in 4D-space, as opposed to a Minkowski-space property. 5. Frames of 3D-space+time represent mixed domain coordinates: 3 spatial coordinates of position-space and a temporal coordinate of momentum-space, unlike the position-space status of 4 spacetime coordinates in conventional SR.