Eddingtons Zahlen,Einsteins Kriterium und Rydbergs rationelles Dimensionssystem |
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| Authors: | H-J Treder |
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| Abstract: | The discussions about the meaning of the “hierarchy of interactions” and in connection with this about the role of Eddington's “cosmological number” imply the question of the “big numbers” in physics. According to Einstein's and Bridgman's criteria such “big numbers” are hints at unsolved problems in the foundations of physics. Eddington gives a theory of the big number like cosmological quantities. – A new point of view on this question may be to remember Rydberg's suggestion on independigly physical dimensions of lengths L, surfaces S, and volumina V, and to remember Dällenbach's suggestion to introduce a new universal constant α which describes the operational connections between the quardrate of lengths L2 and the surface S in microphysics. Coulomb's and Nwton's laws have the same structure. But, the electrical forces are depending on L-2 and the gravitational forces are depending on S-1 ～ (1/α) L-2 because “gravitation is geometry”. In Planck's elementary units h, c and f Dällenbach's “surface-constant of the vacuum” α is a pure number α ≈ hc/fm2, th. i. Eddington's cosmological number ω ～ 1040. However, Rydberg's physical dimensions in geometry and Dällenbach's constant suggest new formulations of the question of “geometrization of physics” and “physicallization of geometry” and the connections between cosmology and microphysics. |
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