Harmonic wavelets towards the solution of nonlinear PDE
Computers & Mathematics with Applications
Practical test-functions generated by computer algorithms
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
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This study presents the existence of inner potential of generating pulses in physics based on existence of recurrent formulation of fundamental physics principles. It is shown that basic principles in physics (like the principle of constant light in vacuum in any reference system and the uncertainty principle in quantum theory) make use in an implicit manner of terms which are defining also the conclusion. For example, the idea of constant light speed implies the use of a measuring method based on a clocks’ synchronization performed using a supposed antecedent light signal transmitted and reflected towards the observer. In a similar manner, the uncertainty principle implies the existence of a measuring method for position or time correlated with a subsequent measurement for momentum or energy (measurements which also make use of position and time). For avoiding logic contradictions, it is shown that the most simple solution consists in defining the class of reference systems (large-scale elements which are not affected by propagation phenomena or interaction)) and the class of transient phenomena (small-scale bodies or waves which undergo an interaction). The inner potential of such a classification (based on different-scale elements) is also shown, together with a specific architecture.