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Mass and Geometry: Preserving Perishable Physics

Explore the relationship between mass and geometry in physics, discussing the 2-dimensional and 4-dimensional cases, as well as Euclidean, Lobachevsky, and Spherical geometries. Learn about the preservation of physics through geometry and the introduction of the quantum number "colour". Discover the role of gauge vector fields and the Higgs boson. This session of the JINR Scientific Council delves into the fascinating connection between mass, geometry, and the fundamental principles of physics.

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Mass and Geometry: Preserving Perishable Physics

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  1. MASS AND GEOMETRY V.G. Kadyshevsky 100th Session of the JINR Scientific Council, March 27, 2006, Dubna

  2. 2 GEOMETRY IS A SPECIFIC SUBSTANCE FOR PRESERVING PERISHABLE PHYSICS Yu.Manin

  3. 3 2-dimensional case Euclidean geometry Lobachevsky geometry Spherical geometry 4-dimensional case Minkowski anti de Sitter (adS) de Sitter (dS)

  4. 4 A. EINSTEIN: c, G (Newton constant), ħ

  5. 5

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  7. 7

  8. 8 The three families of quarks and leptons The quantum number “colour” was introduced by N.Bogoliubov, B.Struminsky, A.Tavkhelidze and, independently, by M.Han, Y.Nambu (1965). Gauge vector fields: γ, W±, Zo, g (octet) Higgs boson H

  9. 9

  10. 10 Formally speaking, the ordinary QFT allows one to consider elementary particles with arbitrary heavy masses. In our approach it is forbidden!

  11. 11

  12. 3 2-dimensional case Euclidean geometry Lobachevsky geometry Spherical geometry 4-dimensional case Minkowski anti de Sitter (adS) de Sitter (dS)

  13. 12

  14. 13 • A. Donkov, M. Mateev, • M. Chizhov, A.D. Fursaev, • R. Ibadov, V.K.

  15. 14

  16. 15 I am hungry, what is a choice? dS adS

  17. 16 dS adS

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  20. 19 A.Donkov, M.Mateev, R.Mir-Kasimov, A.I. Volobuev, V.K.

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