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From: OsherD on 23 Nov 2009 02:51 From Osher Doctorow I posted something like this a few minutes ago, but it failed to appear, so I'm condensing it here. Section 344 indicates similarities between chains of forces or interactions and chains of Probable Causation/Influences (PI), and also similarities to Newton's 3rd Law of Action/Reaction. Contrary to the Wikipedia article on Newton's Laws, which claims roughly speaking that Force/Interaction has been mostly superceded by Momentum, Energy, Symmetry, Section 344 indicates the opposite if we translate it into the terminology of Attractive and Repulsive Forces or Interactions. Even the Wikipedia article admits that Engineering elevates Force to considerable importance and that Classical Mechanics and similar fields still have not dispensed with Force (try doing Classical Mechanics with Symmetry!), but there is also a considerable research literature in arXiv inspired by the Newtonian or Neo-Newtonian views, the Elementary Particle physics views which still regard Force/ Interaction as key, etc. Osher Doctorow
From: OsherD on 23 Nov 2009 03:04 From Osher Doctorow It is true, as the critics for example in the Wikipedia article on Newton's Laws claim, that Conservation of Momentum implies Newton's 3rd Law, but it is not true that this reduces the 3rd Law to a subsidiary or even trivial position. Physics and Mathematics are full of things which are implied by something else, but the "something else" often turns out to be wrong! And the things which are implied by something else often have greater interest than what implies them! The problem with the 3rd Law is that no machinery comparable to Symmetry Groups has been until recently found for expressing the 3rd Law. But Action and Reaction promise to have considerable relationships with chains of Probable Causation/Influence (PI) as in Section 344, which arguably are as deep as Symmetry Groups if not more. PI also relates to the very deep topic of Logic, including Mathematical Logic, also somewhat more indirectly to Quantum Logic. Osher Doctorow
From: Y.Porat on 23 Nov 2009 04:16
On Nov 23, 9:51 am, OsherD <mdocto...(a)ca.rr.com> wrote: > From Osher Doctorow > > I posted something like this a few minutes ago, but it failed to > appear, so I'm condensing it here. > > Section 344 indicates similarities between chains of forces or > interactions and chains of Probable Causation/Influences (PI), and > also similarities to Newton's 3rd Law of Action/Reaction. Contrary to > the Wikipedia article on Newton's Laws, which claims roughly speaking > that Force/Interaction has been mostly superceded by Momentum, Energy, > Symmetry, Section 344 indicates the opposite if we translate it into > the terminology of Attractive and Repulsive Forces or Interactions. > > Even the Wikipedia article admits that Engineering elevates Force to > considerable importance and that Classical Mechanics and similar > fields still have not dispensed with Force (try doing Classical > Mechanics with Symmetry!), but there is also a considerable research > literature in arXiv inspired by the Newtonian or Neo-Newtonian views, > the Elementary Particle physics views which still regard Force/ > Interaction as key, etc. > > Osher Doctorow ------------------- if you talk about 'chain of forces' and the Pi (of the circle ) than look for the 'chain of orbitals idea and the 'Circlon' idea you can see it in my abstract ATB Y.Porat -------------------- |