Titius-Bode and the helicity connection - A quantized field theory of protostar formation

Details Titius-Bode and the helicity connection - A quantized field theory of protostar formation Titius-Bode and the helicity connection - A quantized field theory of protostar formation

Dec 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986itps...14..865w&link_type=abstract

IEEE Transactions on Plasma Science (ISSN 0093-3813), vol. PS-14, Dec. 1986, p. 865-873. Research supported by the Fusion Energy

Physics

8

Cosmology, Field Theory (Physics), Planetary Evolution, Protostars, Star Formation, Bessel Functions, Euler-Lagrange Equation, Magnetic Field Reconnection, Milky Way Galaxy, Solar System, Vortex Generators

Scientific paper

The Titius-Bode relation is discussed in terms of the basic physics of the formation of the solar system. It is demonstrated that Bode numbers are the eigenvalues of the Euler-Lagrange equation resulting from the variation of the free energy of the generic plasma that formed the sun and planets. It is postulated that a major disturbance in the plane of the galaxy resulted in the formation of a plasma structure that proceeded to lose energy to its surroundings until it reached its lowest possible free-energy state. The free energy of the plasmoid is varied subject to appropriate side conditions. The resulting morphology is described by first- and second-order Bessel functions. There is close agreement between the Bode numbers and the zeros of the Bessel functions of the first kind of order one. The result is a minimum action field theory of planetary formation that does not invoke the concept of 'action at a distance' forces.

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