Abstract
In this paper I try to construct a mathematical tool by which the full structure of Lorentz geometry to space time can be given, but beyond that the background — to speak pictorially — the subsoil for electromagnetic and matter waves, too. The tool could be useful to describe the connections between various particles, electromagnetism and gravity and to compute observables which were not theoretically related, up to now. Moreover, the tool is simpler than the Riemann tensor: it consists just of a setS of line segments in space time, briefly speaking.
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References
Borchers, H. J., Hegerfeld, G. C.: Über ein Problem der Relativitätstheorie: Wann sind Punktabbildungen des IRn linear? Nachr. Akad. Wiss. Göttingen10, 205–229 (1972)
Borchers, H. J., Hegerfeld, G. C.: The structure of space-time transformations. Commun. math. Phys.28, 259–266 (1972)
Grauert, H.: Statistische Geometrie. Ein Versuch zur geometrischen Deutung physikalischer Felder. Nachrichten Akad. Wiss. Göttingen 1975 (to appear)
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Communicated by R. Haag
To prevent misunderstanding: I am far from asserting to have really solved any physical problem. This short paper gives some mathematical ideas, only, which might — I hope — prove to be helpful in future
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Grauert, H. Statistical geometry and space-time. Commun.Math. Phys. 49, 155–160 (1976). https://doi.org/10.1007/BF01608738
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DOI: https://doi.org/10.1007/BF01608738