On the Planck scale and properties of matter
Tóm tắt
Invariant and long-lived physical properties and structures of matter are modeled by intrinsic rotations in three and four degrees of freedom. The rotations are quantized starting from the Planck scale by using a nonlinear 1/r potential and period doubling—a common property of nonlinear dynamical systems. The absolute values given by the scale-independent model fit closely with observations in a wide range of scales. A comparison is made between the values calculated from the model and the properties of the basic elementary particles, particle processes, planetary systems, and other physical phenomena. The model also shows that the perceived forces can be divided into two categories: (1) force is always attractive, like in gravitation and (2) force is attractive or repulsive, like in electrostatics.
Tài liệu tham khảo
Lehto, A.: On (3+3)-dimensional discrete space-time. University of Helsinki, Report series in physics, HU-P-236 (1984)
Lehto, A.: Periodic time and the stationary properties of matter. Chin. J. Phys. 28(3), 215–235 (1990)
Mohr, P.J., Taylor, B.N.: CODATA recommended values of the fundamental physical constants 2002. Rev. Mod. Phys. 77(1) (2005)
Ehrlich, R.: Is there 4.5 PeV neutron line in the cosmic ray spectrum? Phys. Rev. D 60, 073005 (1999)
Hörandel, J.R.: Models of the knee in the energy spectrum of cosmic rays. Astropart. Phys. 21, 241–265 (2004)
Nottale, L.: Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems. Chaos Solitons Fractals 7(6), 877–938 (1996)
Hermann, R., Schumacher, G., Guyard, R.: Scale relativity and quantization of the Solar system, Orbit quantization of the planet’s satellites. Astron. Astrophys. 335, 281–286 (1998)
Barnothy, J.M.: Can the solar system be quantized? In: The stability of the solar system and of small stellar systems. Proceedings of the Symposium, Warsaw, Poland, September 5–8 (1973)
Reinisch, G.: Macroscopic Schroedinger quantization of the early chaotic solar system. Astron. Astrophys. 337, 299–310 (1998)
Smarandache, F., Christianto, V.: Schroedinger equation and the quantization of celestial systems. Prog. Phys. 2, 63–62 (2006)
Ginè, J.: On the origin of the gravitational quantization: the Titius–Bode law. Chaos Solitons Fractals 32, 363–369 (2007)
Agop, M., Griga, V., Buzen, C.Gh., Petreus, I., Buzen, C., Marin, C., Rezlescu, N.: Some physical implications of the gravitoelectromagnetic field in fractal space–time theory. Aust. J. Phys. 51, 9–19 (1998)
Rubčić, A., Rubčić, J.: Quantization of the solar-like gravitational systems. Fizika B 7(1), 1–13 (1998)
Wikipedia: 55 Cancri, cited 4 March 2008
Nottale, L., Schumacher, G., Lefèvre, E.T.: Scale-relativity and quantization of exoplanet orbital semi-major axes. Astron. Astrophys. 361, 379–387 (2000)
Tifft, W.G.: Global redshift periodicities and periodicity structure. Astrophys. J. 468, 491–518 (1996)
Tifft, W.G.: Discrete states of redshift and galaxy dynamics I. Astrophys. J. 206, 38–56 (1976)
Tifft, W.G.: Global redshift periodicities and periodicity variability. Astrophys. J. 485, 465 (1997)
Guthrie, B.N.G., Napier, W.M.: Redshift periodicity in the local supercluster. Astron. Astrophys. 310, 353–370 (1996)
Napier, W.M.: A statistical evaluation of anomalous redshift claims. Astrophys. Space Sci. 285, 419–427 (2003)
Wikipedia: Solar System, cited 4 March 2008