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Saturday, July 03, 2021

A Partial Universal Principle Discovery

 In the mathematical analytic system developed to make possible the calculation of relative motion we have the invention of the partial differential. This is a spin off of the Leibnizian quest for the true infinity of the differential (as I have previously cited the history of this in the context of the ibn Sina, et.al. principle of the Necessary Existent, also known as a concrete universal.) Which is to say that if one could instantaneously account for all contending conditions and kinds of force impinging upon matter there would be derived a concrete universal quantum for the progress of its relative motion.

Kepler's quest for a universal ordering principle for the orderings of planetary motions was based upon placing one's purview outside the mere point in space being acted upon. His imagination took the standpoint of vicariously experiencing of the ongoing process of creation. Thus it was only in that regard that he specified the necessity of formulating the differential or derivative calculus for every portion of planetary motion. 

Now this higher framework is precisely where Leibniz adduced his truly revolutionary breakthrough by advancing a concrete universal derived from the series of probabilities developed as a sort of game theory of expansion of sums by Blaise Pascal, et al. 

So today, I was profoundly impressed to learn of an elegant hypothesis for an ordering of planetary compositions by William McDonough of the University of Maryland: magnetism. Thus it is an analogue to the principle of partial differential. That is, if we hold all other possible variables conditioned with respect to the magnetism of the star system of the partial magnetic property of that system we have the basis of a universal ordering of the cores of its planets. Wonderfully beautiful and lawful. I am certain that Kepler himself would be quite pleased!


Fig. 4

From: Terrestrial planet compositions controlled by accretion disk magnetic field


Density of the rocky solar system bodies. Uncompressed and solid densities are shown for terrestrial planets and chondrites (gray), respectively. Bulk planetary densities are shown for asteroids (blue). For 1 Ceres, its bulk density is a lower limit of its solid density, given its high ice abundance and porosity. The red line shows a fit curve for the planets (ρ=4100r−0.21). Data sources: density of planetary bodies are from Russell et al. (2012); Park et al. (2019); Sierks et al. (2011); Consolmagno et al. (2006); Macke et al. (2010); Macke et al. (2011); Britt and Consolmagno (2003); Lewis (1972); Stacey (2005); heliocentric distances of chondrite parent bodies are from Desch et al. (2018)

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