Re: Rosennean challenge? Brun's

[Dan Fiscus <***>]

Tim,

Do you have a cite for the publication in which the
Brun's Theorem is proved? Also, can you paraphrase
or tell us what the proof shows or how it is done -
what logic or key, etc. in general?

Thanks for any info,

Dan

Tim Gwinn wrote:

> Judith,
>  
> I've been ruminating about this kind of project. Specifically, I've 
> been working on the role of (to use your terminology) "relational 
> causality" as it applies to the N-body problem. It's been long ago 
> proven ("Brun's Theorem") that there is no way to generally solve the 
> 3-body problem in closed form. That is, it has been shown within the 
> confines of Newtonian paradigm models that it cannot be so solved. 
> However, from within those same confines, it also cannot be shown that 
> organization plays a role, since organization is not encoded in that 
> paradigm and its formalism. 
>  
> There has not - to my knowledge - been any attempt to approach the 
> problem with another paradigm and formalism(s). Such a demonstration 
> (I'm not sure whether it would rise to the level of a "proof") should 
> describe why the problem is solvable in closed form in only the 1- and 
> 2-body versions, but unsolvable in closed form for N>2. Ideally, it 
> should also show why the 2-body problem is unsolvable in closed form 
> if general relativity is included.
>  
> Regards,
> Tim
>