Reference for citation: Терещенко В. Г. Проблема идентификации физической величины по ее размерности // Изв. вузов. Приборостроение. 2024. Т. 67, № 5. С. 445–454. DOI: 10.17586/0021-3454-2024-67-5-445-454.

Abstract. The possibility of expressing the meaning of a physical quantity using dimension and unit of measurement is explored. It is shown that in order to create a science of quantities, for the operation of computer programs and artificial intelligence with the meaning of quantities, a classification of quantities according to semantic criteria is needed. The purpose of the article is to show the unsuitability of units of measurement and their dimensions for identifying quantities and the need to develop a different way of classifying quantities according to their meaning. Using examples, the possibility to convey the meaning of a physical quantity by raising dimension or unit of measurement of the basic quantity to a certain power is tested. All considered examples gives negative results. A peculiarity of the quantity “length” has been revealed in the matter of forming the dimension of a derivative quantity by raising the dimension of the main quantity to a power. This feature is explained by the possibility of combining length with different directions in space. Raising the length dimension to a power replaces operations with vectors. Cases of exponentiation of other dimensions are meaningless fragments and do not correspond to any value accepted in science. It is recommended to direct efforts to study and formalize the connections between the quantities themselves, combining the approaches of such sciences as metrology, physics, mathematics, and theory of knowledge.

Keywords: quantity dimension, measurement units, system of quantities, vector, physical meaning, artificial intelligence, defining equation

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