As another consequence, each real direct physical effect, when properly defined, must have its inverse counterpart, as the Faraday effect relating magnetism and optics has the inverse Faraday effect; otherwise its nature, law and description need a deeper study and should be properly reviewed.
Currently, there may be about 10000 physical effects specified by a multitude of physical materials, systems, or force fields, of which the most part happens to be represented by only one-side effect, see the Supplement 3.
On the intuitive level, the idea of convertibility/reversibility in nature complete with the concept of unity of natural forces were guiding principles in Faraday’s discovery of magnetic and electric effects and Maxwell’s prediction of electromagnetic fields caused by the mutual interactions of magnetic and electric force-fields.
If such is the case, many inverse effects are to be discovered under particular experimental conditions, thus giving new physical laws for new physical devices, technology systems, and machines performing the transformation of physical changes and energy (mechanical, thermal, electrical, magnetic, electromagnetic, nuclear) into each other.
Moreover, regardless their multitude and variety, all the existent and not yet uncovered physical effects are falling into one or another of a few physical processes, a self-consistent system of physical phenomena, distributed network of physical processes, first presented as an encyclopedic knowledge base for physical science in 1989 (А. Ш. Абдуллаев, База знаний энциклопедического искусственного интеллекта: Об исследовательском прототипе энциклопедической системы по физике, Москва, ВИНИТИ, 1989).
It is all demonstrated below by widely known physical facts and theories, as well by the mathematical formalism of abstract algebras. Mathematics as the study of quantitative relationships and its branches, as mathematical analysis and abstract algebra of abstract structures, is the critical tool in the natural science of modern physics. Specially, theoretical physics has made many successful achievements due to the functional analysis, linear algebra, groups, fields and rings, while lattice theory, relation algebras and categories got the least application.