Computer Science
Scientific paper
Aug 1946
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1946natur.158q.309b&link_type=abstract
Nature, Volume 158, Issue 4009, pp. 309 (1946).
Computer Science
Scientific paper
IN an earlier communication1 I pointed out that our solar system is quantizable according to the equation : Closer scrutiny of the table published there leads to the conclusion that the planets occupy the places of the lowest quantum numbers at their disposal in the order of their sizes. This might be expected : their density and time of revolution can only take values within comparatively narrow limits, and accordingly the quantum number of a planet is approximately inversely proportional to the square of its radius. In the case of each planet the following data can be considered as a priori given : its mass, and accordingly, roughly speaking, its extension; its kinetic energy and so its orbital impulse; and lastly the direction of its revolution. While the planets cool down and contract, the proportion between centrifugal force and force of gravitation will undergo a change on their surface. If the maintenance of the kinetic energy of revolution alone were to be considered, the centrifugal force would decrease proportionally with decreasing radius of the planet compared to the force of gravitation. With the decrease of the planetary spin, however, the quantum number would continuously grow. This would be in contradiction to the basic law of quantization. The fact that the places of the lowest quantum numbers are evidently all occupied-and have remained occupied from the beginning-is also against this supposition.
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