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Geometric model for fundamental particles

Abstract

An attempt is made to show that fundamental particles are manifestations of the geometry of space-time. This is done by demonstrating the existence of a purely geometrical model, which we have calledspherical rotation, that satisfies Dirac's equation. The model is developed and illustrated both mathematically and mechanically. It indicates that the mass of a particle is entirely due to the spinning of the space-time continuum. Using the model, we can show the distinction between spin-up and spin-down states and also between particle and antiparticle states. It satisfies Einstein's criteria for a model that has both wave and particle properties, and it does so without introducing a singularity into the continuum

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References

  1. Adams, D. A. (1975). Patented device reported in “The Amateur Scientist,”Scientific American,Dec., 120.

  2. Bolker, E. D. (1973). “The Spinor Spanner,”American Mathematical Monthly,Nov., 977.

  3. Clifford, W. K. (1956). “On the Space Theory of Matter,”The World of Mathematics, Vol. 1, Ed. J. R. Newman, (Simon & Schuster, New York), p. 568.

  4. McConnell, J. (1960).Quantum Particle Dynamics, 2nd Edn. (North-Holland, New York), pp 116 ff.

  5. Rebbi, C. (1979). “Solitons,”Scientific American,Feb., 92, 168.

  6. Schrodinger, E. (1930).Preuss. Akad. Wiss., Phys-math. Kl. Sitzber., 418.

  7. Speiser, D. (1964). “Theory of Compact Lie Groups and Some Applications to Elementary Particle Physics,”Group Theoretical Concepts and Methods in Elementary Particle Physics, Ed. F. Gursey, (Gordon & Breach, New York).

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Battey-Pratt, E.P., Racey, T.J. Geometric model for fundamental particles. Int J Theor Phys 19, 437–475 (1980). https://doi.org/10.1007/BF00671608

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Keywords

  • Field Theory
  • Fundamental Particle
  • Quantum Field Theory
  • Geometric Model
  • Particle Property