The goal of the present work is to find all the possible objects ψ which transform linearly and intransitively under arbitrary transformations of coordinates in an x-space. As a result of these investigations it was established that there exist, in all, three types of geometric entities: transors, tensors, and M-objects. While transors and tensors are described by a finite number of components, M-objects are described only by an infinite number of components. 1 is found that some dimensionality constant of length plays an important role in the transformation properties of M-objects.
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Z. V. Khukhunashvili, Izv. VUZ.SSSR, Fizika, No. 7, 75 (1972).
Translated from Izvestiya VUZ. Fizika, No. 6, pp. 89–93, June, 1973.
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Khukhunashvlli, Z.V. On spatial symmetry. II. Soviet Physics Journal 16, 813–817 (1973). https://doi.org/10.1007/BF00895696
- Finite Number
- Infinite Number
- Transformation Property
- Spatial Symmetry
- Geometric Entity