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AGPhil: Arbeitsgruppe Philosophie der Physik

AGPhil 3: Poster Session

AGPhil 3.1: Poster

Tuesday, March 17, 2015, 18:00–18:10, A 060

The Spacetime System of Reference and Measurement of Galilean-Newtonian Mechanics — •Ed Dellian — Bogenst. 5, D-14169 Berlin

The law of motion of classical continuum mechanics "force equals mass-acceleration" doesn't refer to a reference system. Galileo's theory is different. In his Discorsi of 1638, Third Day, Galileo's geometrical law of uniform motion is described in relation to two invariant scaled standards, the discrete elements of which are proportional to each other. The first is a standard of "time", the second of "space". The law of motion is a quaternate proportion of measured discrete quantities of space and time implying the elements delta s and delta t of the proportional standards "space" and "time". The constant parameter "delta s over delta t" reveals a quantized structure of the spacetime system of reference and measurement. The same system forms the basis of Newton's authentic theory of motion in discrete real space and real time, the parameter "element of space over element of time" being the proportionality constant required by Newton's second law "The change in motion is proportional (not equal!) to the motive force impressed". Newton's law accordingly reads "delta F over delta p = delta s over delta t = constant = c", or, "delta F = delta p times c". Science would look different had this quantized law of motion in real space and time been known when Einstein developed relativity by erroneously presupposing as Newton's law the continuous f=ma formula of analytical mechanics, which was first conceived in 1750 by Leonhard Euler in Berlin as the basic law of his non-Newtonian "Berlin continuum mechanics".

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