Exponentially Changeable Quantities; An Attempt to Extend the Transition Time

Abstract

As many physical changes and conversions are done by exponential mathematical forms during the time that concerns us, the problem rises when the phenomenon has finished, the conversion is completed and the saturation has come upon the changed quantity. Thus, after the saturation is obtained, time becomes unable to provide us with further information and data. The difficulty becomes substantial when those exponential chronicle changes are used on the chronologies and dating of materials which are under scrutiny. Especially when the duration of time is not extended, the results are limited. Those exponential conversions appear in Plasma Physics in the growth or the damping of the plasma waves, as well. With the present theoretical work a non constant coefficient of the conversion is suggested, whose result is the extension of the conversion time. Also, it is proved that the under-duplication time becomes much more extended than it was with the constant conversion coefficient. Furthermore, it is proved that the under-duplication time continually increases as the under-duplications are multiplied. It should be considered that the initial formulation of the basic physical laws (Coulomb law, Biot-Savart law, law of Universal Gravitation, e.t.c) has been done with the first order approach, taking the ratio coefficients as constants. The present study is an extension of the formulation of the well-known laws with the second order approach.