List of publications on a keyword: «stignature»
Парадигмы современной науки (различные направления)
FSFEI of HE "Moscow Aviation Institute (National Research University)” , Москва г
«Light-geometry of the "vacuum". Fundamentals of the Algebra of Signatures»
This work fits into a framework of a program, elucidated in [1–3], of the geometrization of physics, as set in motion by the mathematical works of William Kingdon Clifford and continued into Einstein’s theory of General Relativity as well as the theories of John Archibald Wheeler. It discusses the physical and mathematical foundations of vacuum light-geometry and the Algebra of Signatures. The vacuum is investigated by probing it with mutually perpendicular monochromatic rays of light with different wavelengths. The result is a hierarchy of nested 3-D light landscapes («λmn-vacua»). We consider a locally uncurved and curved state of a vacuum region on the basis of the mathematical theory known as the Algebra of Signatures. A «vacuum condition» is formulated, based on the definition of the «vacuum balance». Inert properties of the λmn-vacuum are considered. A kinematic basis for the possibility of discontinuities in a local neighborhood of a λmn-vacuum is introduced. On the basis of the foundations of the Algebra of Signatures described in [2; 3], metric-dynamic models of all elementary particles included in the Standard Model are obtained. In this paper new concepts are introduced, some of them with correspondingly new terminology. Therefore, at the end of the article a glossary of new terms is provided.