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On the Kinematic Properties of the Vacuum in Two Dimensions
By Kevan Rutherford, kevanrutherford@ymail.com, All Rights Reserved, 19 August 2005, Last updated 18 November 2007

Abstract
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Abstract
Introduction
Dimensionless Points...
Commuting Simple...
Kinematics as Information
The Consequences...
Absolute Energy
This paper demonstrates the fundamental mechanism that, in its absence, is responsible for the existence of the many none intuitive arguments extending back to the time of Poincare, Lorentz and Einstein. These long standing consequences of the Special theory of Relativity and including the subject of quantum physics have been based on theoretical arguments carrying invalidated none causal implications. We start with quantum physics’ one-dimensional Harmonic Oscillator and its being represented by Schödinger’s wave equation. This is found to be only a partial solution in the absence of currently identifiable ‘hidden variables.’ This paper also demonstrates that there has been an incorrect interpretation of the conclusions found in the main tenets of Einstein’s special theory in regard to the Lorentz Transformations for mass-increase and length-contraction. Although no evidential observations of the third tenet relating to time dilation were found here. Consequently, the Special Theory of Relativity is demonstrative of a rectilinear version of a one-dimensional geometric construct that in the vacuum context is quantitatively aligned to the geometric theorems that are associated with trigonometric functions, exclusively. The fundamental mechanism has been found to show this contextual relationship and we find that the mass/energy relation (increasing mass with velocity) is nothing more than a miss-interpretation of the relevant transformations, which instead, shares a variable association between velocity and acceleration, making the two, velocity and acceleration, inversely proportional in respect of each other. Therefore, velocity and acceleration in the above context is found to exhibit commutable reciprocity in a variable but deterministic relationship. The second transformation as prescribed by FitzGerald and Lorentz is the shrinking of space-time in the historical context of Einstein’s Special Theory. This is found to be nothing more than a spatial geometric measurement contraction and has no association with anything we would regard as classically real. Ultimately, velocity and acceleration have been determined to be quantitatively indistinguishable from and have a direct predetermined association with Euclidean geometry.
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Kevan Rutherford, kevanrutherford@ymail.com, All Rights Reserved