Authors: Denny L.Y. Lee
The commonly accepted no-hair conjecture postulates that all black holes can be completely characterized by three and only three externally observable classical parameters: mass, electrical charge, and angular momentum. The Kerr–Newman metric describes the spacetime geometry in the region surrounding a charged, rotating mass. These three parameters are also the basic parameters of many subatomic particles. In light of the similarities between the black holes and the subatomic particles, this paper applies the Kerr–Newman metric to investigate the spacetime properties of a spinning Planck mass particle carrying an angular momentum of one half Planck constant. Depending on the angular frequency of the rotation of the particle, the results exhibit a group of particles with properties similar to those of the stable subatomic particles, including the neutrino, electron, position, proton, and anti-proton. The highly curved spacetime surrounding the particle in Planck scale, together with the rotation of the particle, make the Planck mass particle to appear as a laboratory mass similar to the mass of the respective particle. The laboratory measurable size of these particles is in the same order of their respective Compton wavelengths. Interacting forces between these particles in the Planck scale exhibit strengths similar in magnitudes to the strong force, electrical force, weak force and the gravitational force depending on the spacetime curvature at the point of interaction. This preliminary attempt of investigating the “spinning Planck mass” using the Kerr-Newman metric has resulted with an interesting model that resembles many particles in nature and raised two interesting questions: (1)Are there any relationships between the fundamental particles and the “spinning Planck masses”? (2) Could the particle-particle interacting forces be expressed in terms of the interactions of spacetime curvatures in Planck scale?
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