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Nov 24, 2003, 8:47:19 AM11/24/03

to

F. Wilczek has reported an intriguing 5-bit register that

fully classifies a generation of the Standard Model fermions.

It is a "plus-minus" code based on a spinor representation of

SO(10). Details can be found in Zee's new book "Quantum Theory

in a Nutshell" p. 410 ("A binary code for the world.") We wish

to report a kindred 5-bit coding scheme of our own, this of

"on-off" type, that finds its natural interpretation in the

finite projective space PG(4,2). We should like to know if this

has already been reported elsewhere. The best way to see what it

is about is on two pages on a website dedicated to

another purpose: http://www.kashmirstamps.ca/01projective.html

Best regards, Carol von der Lin in Canada.

fully classifies a generation of the Standard Model fermions.

It is a "plus-minus" code based on a spinor representation of

SO(10). Details can be found in Zee's new book "Quantum Theory

in a Nutshell" p. 410 ("A binary code for the world.") We wish

to report a kindred 5-bit coding scheme of our own, this of

"on-off" type, that finds its natural interpretation in the

finite projective space PG(4,2). We should like to know if this

has already been reported elsewhere. The best way to see what it

is about is on two pages on a website dedicated to

another purpose: http://www.kashmirstamps.ca/01projective.html

Best regards, Carol von der Lin in Canada.

Nov 25, 2003, 6:11:10 PM11/25/03

to

vond...@hotmail.com (Carol von der Lin) wrote:

> F. Wilczek has reported an intriguing 5-bit register that

> fully classifies a generation of the Standard Model fermions.

> We should like to know if this has already been reported

> elsewhere.

"The Particle Spectrum Is On A Regular 5-D Simplicial Grid"

s.p.r., January 16, 2003

"The Particle Spectrum On A 6-D Cartesian Lattice"

s.p.r., January 20, 2003

"The 6-D Particle Lattice"

s.p.r., October 29, 2003

"6-D Particle Lattice & Regularities In Particle Spectrum"

s.p.r., November 9, 2003

The regularity is this: the following 5 quantum

numbers take ONLY the values +1/2 and -1/2 for the

fermions; and take ALL 32 combinations of these values,

if the right neutrinos and left anti-neutrinos are

counted:

a = -(B-L)/2 + Y/g' - I3/g

b = -(B-L)/2 + Y/g' + I3/g

c = (B-L)/2 - L8/(sqrt(3) gs) - L3/gs

d = (B-L)/2 + 2L8/(sqrt(3) gs)

e = (B-L)/2 - L8/(sqrt(3) gs) + L3/gs

where (B-L)/2 = 1/2 (Baryon - Lepton), Y = weak

hypercharge (with right-electron = -g'), I3 =

weak isospin (left-electron = -g/2), L3 and L8

the SU(3) casimir charges; g', g and gs the

U(1)_Y, SU(2)_W and SU(3)_{color} coupling constants.

The quantum numbers take on the values +1 and -1 for

the charged vector bosons, and take on 8 of the 20

+1/-1 possible pair combinations.

The 4 modes of the Higgs take on the 4 combinations

of +1/2 and -1/2 for two of the qubits.

The inverse relations (listed in the November 9 article)

are:

Y = g' ((a+b)/2 + (c+d+e)/3)

I3 = g (b-a)/2

L3 = gs (e-c)/2

L8 = gs (-c+2d-e)/sqrt(12)

(B-L)/2 = (c+d+e)/3

Nov 28, 2003, 6:41:33 PM11/28/03

to

whop...@csd.uwm.edu (Alfred Einstead) wrote in message news:<e58d56ae.03112...@posting.google.com>...

> "The Particle Spectrum Is On A Regular 5-D Simplicial Grid"

> "The Particle Spectrum On A 6-D Cartesian Lattice"

> "The 6-D Particle Lattice"

> "6-D Particle Lattice & Regularities In Particle Spectrum"

Thanks for the references! A sleek and variously

suggestive story seems to emerge at the lower 3-d and

4-d levels in the finite projective-space language.

Had wondered in the original question if anyone had

published the projective angle; I suspect that more

than a few have noticed such systematics over the years,

if only for its considerable, if slightly alarming,

mnemonic or pedagogic virtues.

( http://www.kashmirstamps.ca/02projective.html )

Nov 30, 2003, 12:00:42 PM11/30/03

to

vond...@hotmail.com (Carol von der Lin) wrote:

> > "The Particle Spectrum Is On A Regular 5-D Simplicial Grid"

> I suspect that more than a few have noticed such systematics

> over the years, if only for its considerable, if slightly alarming,

> mnemonic or pedagogic virtues.

> over the years, if only for its considerable, if slightly alarming,

> mnemonic or pedagogic virtues.

Note the difference, however. The only way to get the vectors

mentioned therein to line up 60 degrees apart from each other

is for (+++++) and (-----) to be assigned to the right electron

and left positron; not the right neutrino and left anti-neutrino.

Aug 23, 2019, 5:12:32 AM8/23/19

to

Your page http://www.kashmirstamps.ca/01projective.html is not available

any longer. Few years ago, I have seen this page and printed it. Now I

am preparing an article to be possibly published in a scientific journal

and would like to make a reference to your work. Is it possible?

Thank you in advance,

Best regards,

I.V. Serov

[Moderator's note: I'm not sure where the quote above comes from, nor

whether Carol von Der Lin reads the group here; if so, perhaps they can

respond. Note that http://www.kashmirstamps.ca can now be found at

http://www.kashmirstamps.com, though not without the page on physics

mentioned above. The website is about stamp collecting, which of course

doesn't rule out the fact that some physics page might have been there

at some point. I'm reminded of Ernest Rutherford's quip: "Science is

divided into two categories, physics and stamp-collecting." -P.H.]

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