Manthey's geometric algebra U(1) × SU(2) × SU(3) × SO(4) over ℤ₃ =
{-1,0,1} subsumes quantum logic hence imaginary logic. Insofar as link
theory* is concerned, consider the absence of a row in a link table to be
equivalent to the 0 in ℤ₃ and the 1 and -1 for the presence of
corresponding cases.
I suggest contacting Manthey directly at the email address given in his
most recent paper:
http://www.rootsofunity.org/wp-content/uploads/2020/08/OutOfTheBox_2020.pdf
You can also obtain the geometric algebra calculator from his younger
colleague, Doug Matzkey at:
http://www.matzkefamily.net/doug/
I'm sure they would be glad to answer your questions in a manner far more
lucid than me.
*I don't think Manthey is very familiar with link theory since he was
already apparently ahead of Etter at the time Etter first presented it at
PhysComp 94.
On Thu, Jan 7, 2021 at 11:14 AM Ben Goertzel <[email protected]> wrote:
> I skimmed but did not yet read that patent application. However it
> doesn't appear to address the formal gap between Laws of Form logic
> and Link-Theory / Quantum-Logic in any direct-ish way, does it?
>
> On Thu, Jan 7, 2021 at 9:08 AM James Bowery <[email protected]> wrote:
> >
> >
> >
> > On Wed, Jan 6, 2021 at 11:44 PM Ben Goertzel <[email protected]> wrote:
> >>
> >> ...But there is a formal gap between Laws of Form logic and Link-Theory
> /
> >> Quantum-Logic, which probably can be filled but I am doing too much
> >> other stuff to think about it hard at the moment. That's why I'm
> >> probing to see if you have some insight or reference that may fill
> >> this gap, as you're one of the few folks I know who have dug into
> >> these various areas apparently fairly deeply...
> >
> >
> > If I had it to do over again, I would have hired Manthey rather than
> Etter. See:
> >
> > https://patents.google.com/patent/US20160148110A1/en
> > Artificial General Intelligence List / AGI / see discussions +
> participants + delivery options Permalink
>
> --
> Ben Goertzel, PhD
> http://goertzel.org
>
> “Words exist because of meaning; once you've got the meaning you can
> forget the words. How can we build an AGI who will forget words so I
> can have a word with him?” -- Zhuangzhi++
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