Physics
Scientific paper
Nov 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aps..ses.la032c&link_type=abstract
American Physical Society, 76th Annual Meeting of the Southeastern Section of APS, November 11-13, 2009, abstract #LA.032
Physics
Scientific paper
In recent years, there are attempts to describe quantization of planetary distance based on time-independent gravitational Schr"odinger equation, including Rubcic & Rubcic's method and also Nottale's Scale Relativity method. Nonetheless, there is no solution yet for time-dependent gravitational Schr"odinger equation (TDGSE). In the present paper, a numerical solution of time-dependent gravitational Schr"odinger equation is presented, apparently for the first time. This numerical solution leads to gravitational Bohr-radius, as expected. In the subsequent section, we also discuss plausible extension of this gravitational Schr"odinger equation to include the effect of phion condensate via Gross-Pitaevskii equation, as described recently by Moffat. Alternatively one can consider this condensate from the viewpoint of BogoliubovdeGennes theory, which can be approximated with coupled time-independent gravitational Schr"odinger equation. Further observation is of course recommended in order to refute or verify this proposition.
Christianto Vic
Rapoport Diego L.
Smarandache Florentin
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