Asymmetry Principle of Measurement As well-known each original scientific theory is based on some deep idea, some principle determined originality and novelty of scientific theory. For example in the base of non-Euclidean geometry the new interpretation of the Euclidean axiom of parallelism underlies, Einstein's theory of relativity uses the "Principle of the light speed constancy" and so on. To get non-trivial results in the new measurement theory we should try to formulate some fundamental measurement principle, which follows from the same essence of measurement. We mentioned repeatedly the "weighing problem" formulated Fibonacci in 13th century. "But what fundamental principle we can "extract" from this oldest problem?" - you ask. Do not hurry to answer! Let's look carefully the weighing procedure by using the balance (Fig. 1). When we considered the classical Fibonacci "weighing problem" we emphasized that the "binary" set of the standard weights {1, 2, 4, 8, ..., 2
The analysis of the above mentioned "binary" algorithm by using the balance model (Fig.1) allows revealing one measurement property of a general character for all-thinkable measurings reduced to the comparison of the measurable value Let's consider very carefully the process of weighing the load One can readily see that the both considered cases differ in their "complexity". In fact, in the former case the "weigher" fulfils only one operation, i.e. he adds the next standard weight 2 The discovered property of measurement was called the Let's introduce now the above-discovered property into the "weighing" problem suggested by Fibonacci. With this in mind let's consider the measurement as the process running during discrete periods of time; let the operation It is clear that the numerical parameter One may show up incredible that this simple observation on the process of weighing can become the basis for development of the new mathematical measurement theory. But it is really so! And we will show in the next pages of our Museum what interesting measurement algorithms and new scientific results follow from the "Asymmetry Principle of Measurement". Follow us! |