Re: JSH: Brainstorming over, for now

jshsucks_at_yahoo.com
Date: 04/29/05 

Date: 28 Apr 2005 21:26:55 -0700

Nora Baron wrote:
> jst...@msn.com wrote:
> > Ok, I've finished brainstorming on the SFT and how to best present
> it.
> >
> > It's been a VERY useful few days as most importantly I've managed
to
> > air out my paranoia about the dangers of this research, and
> communicate
> > loud and clear I hope, so that the people who are supposed to pay
> > attention to problem areas assuredly noticed!
> >
> > Which makes me feel a little silly for being worried--as nothing
has
> > happened--but then again, how do you know if you don't check?
> >
> > My fears about working on the factoring problem go back for YEARS
and
> > have affected a lot of things for me, so it's a tremendous relief
to
> be
> > here now with what I feel is a major result, and it looks like
> > everything is fine.
> >
> > No worries.
> >
> > Things get a lot more boring from here for the rest of you, as
> there's
> > less need for me to talk anything out, as I think I've learned what
I
> > needed to know, and a lot less interest on my part in this subject
> > area anyway, as I'm getting that been there done that feeling.
> >
> > Extreme mathematics is about the extreme--pushing limits and the
> > envelope.
> >
> > Maybe I burned myself out ahead of time on factoring, worrying
about
> it
> > so much, but now it just seems like so much old hat.
> >
> > Of course, papers to be sent off, but I have a backlog now. I've
> been
> > sitting on papers versus working them out to be sent off, as it's
all
> > just kind of tedious and annoying--the social crap.
> >
> > In any event, the world is still here. The economy didn't crash,
and
> > I'm feeling stupid but giddy.
> >
>
>
> So I assume this is what you think suffices as an admission
> that your precious "SFT" was a useless debacle - right?
>
> Below is a response to the (hopefully) one last gasp on
> surrogate factoring which you posted to sci.crypt, in case you
> missed it.
>
>
----------------------------------------------------------------------------
> jst...@msn.com wrote:
> > The surrogate factoring theorem (SFT) provides integer solutions to
> >
> > sqrt(v^2 - 4A^2(A^2 - B^2)w^2)
> >
> > where all are non-zero integers, and letting n be the result of
> taking
> > that square root, you have
> >
> > n^2 = v^2 - 4A^2(A^2 - B^2)w^2
> >
> > and the difference of squares is seen as
> >
> > v^2 - n^2 = 4A^2(A^2 - B^2)w^2
> >
> > so, simply enough, you have the factorization
> >
> > (v - n)(v + n) = 4A^2(A^2 - B^2)w^2.
> >
> > And the solutions the SFT provides give an infinite number of
> > non-trivial factorizations of A, the target integer, along with an
> > infinite number of trivial ones, as it shows no differentiation
> between
> > the two.
> >
>
> You can (and should) go a little farther with this:
>
> v - n = 2g_2 (g_1 + B^2) B^2 A^2 and
>
> v + n = 2g_1 (g_1 + B^2) (g_2 + B^2)^2
>
> where g_1 g_2 = B^2 (A^2 - B^2).
>
>
> The important thing to notice here is that:
>
> *** v is divisible by A^2 ***.
>
> What this means is that in general, GCD(v - n, A^2) = A^2,
> and (v - n) will therefore yield only TRIVIAL factors of A^2
> (and likewise v + n).
>
>
> > No other theorem or mathematical result in human history can say
the
> > same, making the significance of the SFT obvious to objective eyes.
> >
>
> In view of the above, yes, I would agree. The significance is
> obvious.
>
> Nora B.
>
>
> > There are other methods that rely on difference of squares, like
the
> QS
> > and the Number Field Sieve, but no other known theorems like the
SFT.
> >
> > ************************
> >
> > Full set of equations:
> >
> >
> > n = sqrt(v^2 - 4A^2(A^2 - B^2)w^2)
> >
> > v/w = z - 2A^2
> >
> > where
> >
> > z = x(x +/- sqrt((x - 2B^2)^2 + 4B^2 (A^2 - B^2)))/(2x - 2A^2)
> >
> > and x is given by
> >
> > x = +/- (g_1 - g_2) + 2B^2
> >
> > where
> >
> > g_1 g_2 = B^2(A^2 - B^2).
> >
> >
> > James Harris
>
> ---------------------------------------------------------------------
>
> I don't think for a second this is over. You will be back within
> days, possibly hours, with some other harebrained idea for factoring.
> I think though you should remember what happened this time which
> distinguished it from your other meltdowns -
>
> 1. You refused to even test your idea with a simple computation.
> You just kept saying that it had to work, that it would
> work 50% of the time, etc.. But you were "fucking terrified"
> to actually try it. Nevertheless you thought everyone else
> was being unreasonable to even expect that.
>
> 2. Instead you "tested" your idea by repeatedly posting
> descriptions of it, hoping fervently for proof that it worked
> in the form of a collapse of the world economy. At one point
> you grasped at an incredible straw: the fact that someone
> hacked into Paris Hilton's cell phone files. Yeah, that's
> proof. Proof that cargo-cult mentality is not confined to
> the South Seas.
>
> 3. You begged for people to help you gain access to the NSA.
> This is a new low point for you in terms of contact with
> reality.
>
>
> Nora B.
>
>
> > Sometimes fears are just uncalled for, and unnecessary, but you
have
> > them anyway.
> >
> >
> > James Harris

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