Re: [math-fun] Donald Saari on Dark Matter
Saari's analysis could have been performed by Maxwell; indeed, it essentially *was* performed by Maxwell, as Saari relies heavily on Maxwell's analysis of ring systems. Saari's work is classical Newtonian; no GR need apply. On the other hand, the equations that the "dark matter" folk have been relying on are also classical Newtonian. I wonder how much of Saari's analysis would fail in a GR setting? At 10:30 AM 7/17/2015, Paul R. Pudaite wrote:
Any thoughts on the following?
http://www.jstor.org/stable/10.4169/amer.math.monthly.122.5.407 https://www.siam.org/pdf/news/2094.pdf
...Surely large scale computational models of discrete galactic dynamics have been developed, but I haven't found reports.
On 7/17/2015 2:03 PM, Henry Baker wrote:
Saari's analysis could have been performed by Maxwell; indeed, it essentially *was* performed by Maxwell, as Saari relies heavily on Maxwell's analysis of ring systems.
Saari's work is classical Newtonian; no GR need apply. On the other hand, the equations that the "dark matter" folk have been relying on are also classical Newtonian.
I wonder how much of Saari's analysis would fail in a GR setting?
I'd say none. The GR effects are generally small corrections unless you get black holes or significant gravitational radiation. Brent
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