Monday, July 15, 2019

Swerve, Acceleration, Rationalism

Lucretius' concept of Swerve signifies a deviation of direction.  But it can also signify a change of Motion in which direction remains constant--Acceleration.  Still, the original concept is adopted by Modern Physics in the standard illustration of the relation of Acceleration and Velocity--as a curve with respect to a straight line.  The standard analysis of the illustration thus also reveals the essential moment of Swerve--an infinitesimal deviation.  But, Modern Physics does illustrate that moment with precision--it merely approximates it as 'approaches zero'.  It further glosses over the lacuna by neutralizing it, e. g. via Newton's Third Law, Conservation of Energy and Motion theses, etc.  In other words, Modern Physics is a Rationalist system that achieves universal commensurability by suppressing the incommensurability that constitutes much of what it represents.

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