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Essay:Quantifying Order

301 bytes added, 01:09, December 21, 2009
/* Proximity of Objects */ This fits well with the estimate of entropy -- the inverse of order -- as being proportional to surface area or radius squared.
A close proximity of objects is more ordered than distant scattering.
Specifically, order could be quantified as being roughly proportional to the inverse of the surface area of the smallest sphere that encloses the objects. This fits well with the estimate of entropy -- the inverse of order -- as being proportional to surface area or radius squared.<ref>See, e.g., http://www.haverford.edu/cmsc/slindell/Presentations/A%20physical%20analysis%20of%20mechanical%20computability.pdf</ref>  A precise correlation to between a quantified order and the inverse-square of distance would not be expected, particularly as distances vastly increase. Stated another way, order may not diminish as quickly as the surface area expands for large distances, because spatial ordering can still occur at great distances between the objects.
The theories of General Relativity and Newtonian gravity are contradicted by the "Pioneer anomaly." That anomaly or effect consists of the Pioneer slowing down more than expected as it left the solar system. "Dubbed the Pioneer Anomaly, the unexplained force appears to be acting against NASA’s identical Pioneer 10 and 11 probes, holding them back as they head away from the Sun."<ref>http://www.space.com/scienceastronomy/070327_scitues_pioneeranom.html</ref> Of course, it begs the question to describe the cause as an "unknown force," as the relativity and Newtonian models may be fundamentally incorrect views of nature.
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