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Lorentz Transformation as interpreted within the context of Special relativity is mathematically incorrect set of equations. This article presents the general case proof of invalidity, independent of derivation procedure. Author presents new solution named Triangle of Velocities, which is logically and mathematically correct interpretation of the Lorentz transformation.

MATHEMATICAL PROCEDURE by which Albert Einstein derived Lorentz transformation is incorrect. The transformation is an imaginary "solution" to a set of equations which evaluate to zero throughout the derivation process. Author derives Lorentz transformation the way Einstein did, and shows the places where errors were made. NOTE: This document is found through search engines more often than ?Triangle of Velocities?, which offers complete analysis of Lorentz transformation and mathematical proof that the transformation is based on error. The reader is encouraged to read http://www.masstheory.org/triangle_of_velocities.pdf.

In order to discuss laws that rule material world we must first define the concept of matter itself. To do so, we will create an abstract model ? a completely theoretical paradigm that will allow us to understand how natural laws function. We will develop this abstract model starting with a simple definition and continuing throughout this book to add features and properties ? until the model matches the actual physical reality in all important issues that we will discuss.