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From: Osher Doctorow on 10 Jul 2010 00:30
From Osher Doctorow

In mathematical probability and statistics, a "fair" coin is a small
circular bounded object with two sides ("Head H and Tail T," for
simplicity) and a thin 3rd side on which the coin seldom lands when
thrown in the air (if it does land on it, the landing is ignored),
made of homogeneous material which is not "loaded" (heavier in one
part than another, more or less). Under these conditions, we have:

1) P(Head) = P(Tail) = 1/2 for "fair" coin tossed in the air.

A Torus in 3 dimensions is similar except that it has a "central
hole", and of course there are 2-dimensional space analogs.

We have seen in this section that Gravitation and Repulsion are
respectively given by:

2) P(A-->B) = P(A) or equivalently P(AB) = 2P(A) - 1
3) P(A-->B) = P(A ' ) = 1 - P(A) or equivalently P(AB) = 0

To see where Gravitation and Repulsion intersect, and thus undergo a
transition from one to the other, we set (2) and (3) equal:

4) 2P(A) - 1 = 0, or P(A) = 1/2 = P(A ' )

But this is modelled by (1) above and so by a Torus with (hopefully) a
small hole.

It turns out that the Torus is currently being considered as a model
for Quantum Gravity and even some Classical Gravity models, as for
example:

5) Connes, Alain and Retkoff, Paul T., "The Gauss-Bonnet theorem for
the noncommutative two-torus," 17 pages, arXiv: 0910.0188 v1 [math.QA]
1 Oct 2009.

6) Lamon, Raphael, "Loop quantum cosmology on a torus," U. Ulm
Germany, arXiv: 0909.2578 v1 [gr-qc], 14 Sep 2009, 35 pages.

Both of these give positive results indicated by the titles, and the
last in fact yields a continuous spectrum which disagrees with LQG and
LCC (Loop Quantum Gravity and Loop Quantum Cosmology), which is good
since it arguably favors Superstring and Brane/M Theory.

The keyword "torus" in arXiv produces over 800 papers since 1991.

Osher Doctorow

From: Osher Doctorow on 10 Jul 2010 00:36
From Osher Doctorow

The coauthor of Connes is Paula T. Retkoff, not Paul T. Retkoff.

Osher Doctorow
From: Osher Doctorow on 10 Jul 2010 00:45
From Osher Doctorow

See also for example:

1) Nelson, J. E. (U. degli Studi di Torino and INFN Italy), Picken, R.
F. (Technical U. Lisbon Portugal), "Quantum geometry from 2 + 1 AdS
quantum gravity on the torus," arXiv: 1006.0921 v1 [gr-qc] 4 Jun 2010.

Osher Doctorow
From: Newsgroup Customer on 10 Jul 2010 01:35
1) Coin
2) Torus
3) Gravity
4) Google groups
5) gmail.com
6) Idiot

"Osher Doctorow" <osherdoctorow87(a)gmail.com> wrote in message
news:ac7d9156-ab2e-4846-ba90-44957a2d19f7(a)m35g2000prn.googlegroups.com...
> From Osher Doctorow
>
> Reality I do not visit it; the psychotic clams disallow meaning to be


From: Doug on 10 Jul 2010 01:06

"Osher Doctorow" <osherdoctorow87(a)gmail.com> wrote in message
news:ac7d9156-ab2e-4846-ba90-44957a2d19f7(a)m35g2000prn.googlegroups.com...
> From Osher Doctorow
>
> In mathematical probability and statistics, a "fair" coin is a small
> circular bounded object with two sides ("Head H and Tail T," for
> simplicity) and a thin 3rd side on which the coin seldom lands when
> thrown in the air (if it does land on it, the landing is ignored),
> made of homogeneous material which is not "loaded" (heavier in one
> part than another, more or less). Under these conditions, we have:
>
> 1) P(Head) = P(Tail) = 1/2 for "fair" coin tossed in the air.

wrong, as you have specified it can land on the edge.


>
> A Torus in 3 dimensions is similar except that it has a "central
> hole", and of course there are 2-dimensional space analogs.

wrong, a donught is not a coin.

>
> We have seen in this section that Gravitation and Repulsion are
> respectively given by:
>
> 2) P(A-->B) = P(A) or equivalently P(AB) = 2P(A) - 1
> 3) P(A-->B) = P(A ' ) = 1 - P(A) or equivalently P(AB) = 0

where is "g" ? Guess you make mistake.


>
> To see where Gravitation and Repulsion intersect, and thus undergo a
> transition from one to the other, we set (2) and (3) equal:
>
> 4) 2P(A) - 1 = 0, or P(A) = 1/2 = P(A ' )

wrong as it is based upon wrong equations.

>
> But this is modelled by (1) above and so by a Torus with (hopefully) a
> small hole.
>
> It turns out that the Torus is currently being considered as a model
> for Quantum Gravity and even some Classical Gravity models, as for
> example:
>
> 5) Connes, Alain and Retkoff, Paul T., "The Gauss-Bonnet theorem for
> the noncommutative two-torus," 17 pages, arXiv: 0910.0188 v1 [math.QA]
> 1 Oct 2009.
>
> 6) Lamon, Raphael, "Loop quantum cosmology on a torus," U. Ulm
> Germany, arXiv: 0909.2578 v1 [gr-qc], 14 Sep 2009, 35 pages.
>
> Both of these give positive results indicated by the titles, and the
> last in fact yields a continuous spectrum which disagrees with LQG and
> LCC (Loop Quantum Gravity and Loop Quantum Cosmology), which is good
> since it arguably favors Superstring and Brane/M Theory.
>
> The keyword "torus" in arXiv produces over 800 papers since 1991.
>
> Osher Doctorow
>


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