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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.

Because of its nature, the most full formal description of natural forcible relations exchanging forces, power and energy, can be given in terms of ordered sets, functions, and categories instead of the group-like concepts well-fitting for symmetrical transformations of physical systems and processes and fundamental force-interactions.

In all, the new physical science stands in need of a universal principle of nature to be accountable for the interco

This might be expressed shortly: if there is the Doppler effect or the Faraday effect, there must be the Inverse Doppler effect or the Inverse Faraday effect just BY LAW; otherwise it is not a real effect.

The Nobel Prize in Physics has been awarded 109 times to 201 Nobel Laureates between 1901 and 2015, according to the Nobel Foundation. Of which the foundational achievements were performed in serendipitous empirical and intuitive discovering of special physical effects, like the Einstein’s law of photoelectric effect, the Compton effect, the Cherenkov effect, the Mössbauer effect, the Hall effects and many other effects (like as listed in the Supplement 2).



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