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Proper Velocity is the Fundamental Measure of Relative Motion


Asquith, Philip


Research Papers


Relativity Theory



Date Published:

February 19, 2021




Proper Velocity, Coordinate Velocity, Relative Motion


Since the time of Galileo, the same definition of velocity has been generally accepted. The definition (usually called Coordinate Velocity) is now shown to be secondary to a more fundamental measure of relative motion (usually called Proper Velocity). The method is that the transformation equations for Special Relativity are derived without introducing velocity or assuming a definition of velocity. For Inertial Frames K and K′, the transformation equations are: x′ = ax – bct, ct′ = act – bx, x = ax′ + bct′, ct = act′ + bx′ , a² = b² + 1; c is the velocity of light; a and b are constants. Four velocity measures are found. Coordinate Velocity, v, = x/ct or − x′/ct′ = b ∕ a = b/√(b² + 1). Proper Velocity, w, = x/ct′ or − x′/ct = b. Thus, v = w/√(w² + 1). The Transformation Equations for Proper Velocity replace b with w. They are x′ = ax – wct, ct′ = act – wx, x = ax′ + wct′, ct = act′ + wx′ , a² = w² + 1. The algebra shows v as a function of w, making w, Proper Velocity, the primary value. At slow velocities, Proper Velocity is an exact fit in the Galilean transformation.


SRT is completely erroneous since it is based on the wrong kind of transformations: they have lost the scale factor characterizing the Doppler effect. 
First, Lorentz considered a more general form of transformations (with a scale factor), but then he, and also Poincare and Einstein equated it 1 without proper grounds. Their form was artificially narrowed, the formulas became incorrect. This led to a logical contradiction of the theory, to unsolvable paradoxes. 
Accordingly, GRT is also incorrect. 
For more details, see my brochure "Memoir on the Theory of Relativity and Unified Field Theory" (2000): 

Posted: February 22, 2021 @ 9:11:45 am

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