A EUCLIDEAN INTERPRETATION OF SPECIAL RELATIVITY
Based on a Euclidean interpretation of special relativity, a velocity vector 4-Euclidean Space-Time (EST) geometrical model governed by the functions of a circle is formulated. With the (++++) Euclidean signature, the Lorentz transformation is expressed in trigonometric form in terms of an angular velocity parameter derivable from the geometry [PAPER 1]. Consequently the model is transformed into a 4-Euclidean space (ES) analogue of a moving body. The advantage is relativistic dynamics can conveniently be investigated in close correspondence to classical physics [PAPER 2]. Applying this model the relativistic momentum and energy variation equation are derived expressed in trigonometric form [PAPER 3]. Also the relativistic frequency equation is expressed in trigonometric form [PAPER 4]. Next the velocity addition formula as deduced from the Euclidean space analogue is presented [PAPER 5]. Finally the advantage of the Euclidean interpretation of relativity is discussed [PAPER 6].
PAPER 1: A Euclidean alternative to Minkowski space-time diagram.
PAPER 2: A Euclidean space analogue of a moving body.
PAPER 3: Momentum and energy equation from Euclidean space analogue.
PAPER 4: Relativistic frequency variation in trigonometric terms.
PAPER 6 : The advantage of Euclidean interpretation of relativity. ( Appendix to Paper 6 ).
An informative site and related links on Euclidean interpretation of relativity is available at Euclideanrelativity.com
Copyright: S. Kanagaraj ; s.kana.raj@gmail.com ; (About the author)
8th Oct 2009 - 25th Mar 2010
