X-Message-Number: 21810
Date: Tue, 27 May 2003 05:16:33 EDT
Subject: Virasoro 107 philosophy

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When exploring theoretical physics I have found first that starting from 
classical physics, it was relatively simple to invent a Jacobi equation based 

quantification. With no clue to experimental data, it could stand as the 
quantum theory, it may have been found indeed by Oliver Heaviside more than 
one century ago. This would produce macroscopic quantum effects. When Nikolas 

Tesla filled a patent in 1897 about a system to transmit electricity all around
the Earth without cables, some thought it was speaking about microwave 

transmission, but what Tesla said don't fit with that. To this day, nobody has 
a system such the Tesla's one. My first idea was that Heaviside told Tesla 

about this theory and this last found it responded to Su(N) group symmetries. 
SU(2) could indeed project anywhere on Earth a macro quantum state. Reading 
more about Tesla's experiments at this epoch, I found that they don't fit into 
this scheme, so there was something else.

More than thirty years after Heaviside and Tesla, Erwin Schrodinger seems to 
have rediscovered the same track. But there was one more element: The black 

body Planck's experiment. So, Schrodinger knew he was looking at a micro physics
theory and the raw Jacobi one wouldn't fit. So he slashed it in two, cutting 
off the three time-like dimensions and after converting a difference into a 
derivative he got his wave equation. Building back this track, it is simple to 
jump to Jacobi's quantification.

Now if we don't jump but crawl up from Schrodinger to Jacobi, we have found 
plenty of unforeseen structures, the last ones being the Virasoro loops, some 
of them describing something outside the quantum domain. There is an example:

1 2 3 4 5 6
2 1 4 5 6 3 
3 6 1 2 4 5
4 5 6 1 3 2
5 3 2 6 1 4
6 4 5 3 2 1

The product defined by this multiplication table can be used in a 
Poisson's-like bracket:
[abc] = (ab)c - a(bc) similar to the quantum mechanics commutator: [a,b] = ab 
- ba. With real scalar numbers, ab = ba, but that is not the case if a and b 
are some arbitrary operator matrix. In the same way, in quantum mechanics the 
product is associative, contrary to the loop case.

What is disturbing, is that at this level there is only two groups: Z2 x Z3 
and D3, none being prime and so there is no new quantum symmetries. If we look 
solely to quantum, that enormous structure with 107 algebras would remains 

Because that crawling up has not got back the Jacobi quantification, I could 
continue to unfold these structures. Next we would enter the towering domain 
of Moonshine with one group Z 7 and 16,942,080 multiplication tables. There is 
a group, called Janko 1 able to transform any one of these tables into 

another. At the 10 x 10 table, there would be more than 7.5 x 10^ 24 

and they would be managed by no less than 20 groups, the largest being one with
some 8 x 10^ 53 elements. It is called the Monster. Moonshine, the theory of 
the Monster culminate with MZ2, the square of the Monster. then you get to 
Jacobi quantification.

Well, it is drowned into a loop structure more than 10^ 100 times larger than 
it. So, when you jump from Schrodinger to Jacobi, you get to a microscopic 

island surrounded by a gigantic ocean made from loops, most of them with no clue
about quantum world.

Einstein said, it seems, that what was the most strange in the Universe was 
that it was understandable by man. My opinion is that using "jumping theories" 
we get fast in a domain where very few can be understood.

If you think this is crazy, you must realize that this come from the 
dynamical study of a single point in three dimensional space.

When you get a simple concept such Jacobi's quantification, you can build a 
technology on it, even if you don't have the foggiest idea about the implied 

understructure. It seems Tesla has been the first to practise such technological
witchcraft. He has not been the last.

Yvan Bozzonetti.


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