From: Jay R. Yablon on 14 Jan 2010 11:01 "achille" <achille_hui(a)yahoo.com.hk> wrote in message news:b0c199b0-7d63-4d25-8015-5235976f86b8(a)h9g2000yqa.googlegroups.com... On Jan 14, 3:01 pm, achille <achille_...(a)yahoo.com.hk> wrote: > > your m dq/dt still have nothing to do with momentum. > > the dq in your expression is a difference on two hyperreals > > Finally, ***Damn, google send it before I complete my reply again*** okay, back to my reply. the dq in your expression is the difference between two q infinitesimal close on same t. while the proper m dq/dt appear in a momentum is the difference between two q on two infinitesimal close t. Even if you use the proper dq to define your momentum. It won't help. In the context of path integral, 'momentum' is not a constant of motion at all, so sqrt( p dq ) does not mean it is proportional to sqrt(dq). Period. This is my last post on this thread. JRY: I know you said it was your last post. Perhaps I am being pedantic, but if you are correct you should be able in equation (9) of http://jayryablon.files.wordpress.com/2010/01/dq.pdf to identify the precise point at which I make an illegal step and why, which is why I wrote out (9) in four steps. Is the wrong step in your view simply the fourth term, where I substitute a momentum? Or, is it earlier. I would appreciate if you could please do so. Jay
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