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String Duality, Cosmology, De Sitter Group Lie Algebra



 
 
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  #1  
Old November 18th 03 posted to sci.math,sci.astro,sci.physics,sci.physics.relativity,sci.skeptic
Jack Sarfatti
external usenet poster
 
Posts: 2,218
Default String Duality, Cosmology, De Sitter Group Lie Algebra

Let R be a stringy Kaluza-Klein compactification scale of an extra space
dimension

Suppose

(c/H(t))Lp*(t) = R^2(t)

Use the "holographic"

Lp*(t)^2 = Lp^4/3(c/H(t))^2/3

with the world hologram on the surface of a Planck sphere.

Therefore,

(c/H(t))^4/3Lp*(t)^2/3 = R^2(t)

This one puts the world hologram on the past light cone wave front of
thickness Lp*(t) back c/H(t) in time from t = now.
The first one is a dual relation.

On Tuesday, November 18, 2003, at 11:48 AM, sarfatti wrote:

Do not reply to mindspring which is a dummy address so that I can send
mail on my regular MacMail program out from a WiFi Caffe. Use


also I will be moving soon so " will be defunct.
" is the one to use.

Tony Smith wrote:

"Jack, you ask:

'... 4 special conformal generators ...
What do they locally gauge to?
My hunch is /\zpf,u ...'

Yes, I think so too, and have written some stuff about it
on my web page at
http://www.innerx.net/personal/tsmit...ngraviton.html

The basic reference for that work is a paper by Aldrovandi and Pereira at
http://xxx.lanl.gov/abs/gr-qc/9809061
which describes in some detail how the special conformal group
gives rise to cosmological "constant" type terms.

Yeah that paper is interesting.
They seem to say that the deSitter group limits to 15 parameter
conformal group when cosmological constant limits to
infinity! Also there is an interesting "stringy" duality between
infinite and zero cosmological constant. It is the intermediate cases
that is of interest. Also localizing - not just a space of constant
curvature, i.e. locally gauge the Lie algebra of the De Sitter group
which is more general than the conformal group?

Infinite cosmological constant is point particle when string tension -
infinity hence gravity as curvature is no longer possible.

BTW the "world hologram" idea

Lp*^2 = Lp^4/3(c/Ho)^1/3

is alluring, but has real problems of consistent interpretation such as
cosmological time increase in the Regge slope i.e.
Witten's

alpha' = Lp*^2 = 1/(string tension)

means the string tension decreases as the universe 3D space expands.
My guess is that current astrophysics falsifies that?

The electron rest mass from Higgs field part of Vacuum Coherence is (h
= c = 1)

m ~ e^2/\zpf*^1/2 ~ e^2/(alpha')^1/2

What does this do to e/m?

If /\zpf* = 1/Lp*^2 = 1/G* = (alpha')^-1

And if Blackett relation for quantized trappedEM flux in the Wheeler
micro wormhole
of "Mass without mass" and "Charge without charge":

e = G*1/2 m = (alpha')^1/2m

m ~ (alpha')m^2(alpha)^-1/2 = (alpha')^1/2m^2

Ignoring m = 0 root.

m ~ (alpha')^-1/2

e is then invariant, but e/m is not.

Ho = R(now),t/R(now)

in the FRW metric.

We want G* on large scale 10^-3 cm to be G(Newton) and it is also
thought to be G(Newton) at the Planck scale
10^-33 cm, yet we want G* = 10^40G on the fermi scale of 10^-13 cm

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  #2  
Old November 19th 03 posted to sci.math,sci.astro,sci.physics,sci.physics.relativity,sci.skeptic
Mark Burlingame
external usenet poster
 
Posts: 25
Default String Duality, Cosmology, De Sitter Group Lie Algebra

You seem to be writing to yourself a lot these days.
Wonder what that means?

MB


"Jack Sarfatti" wrote in message
om...
Let R be a stringy Kaluza-Klein compactification scale of an extra space
dimension

Suppose

(c/H(t))Lp*(t) = R^2(t)

Use the "holographic"

Lp*(t)^2 = Lp^4/3(c/H(t))^2/3

with the world hologram on the surface of a Planck sphere.

Therefore,

(c/H(t))^4/3Lp*(t)^2/3 = R^2(t)

This one puts the world hologram on the past light cone wave front of
thickness Lp*(t) back c/H(t) in time from t = now.
The first one is a dual relation.

On Tuesday, November 18, 2003, at 11:48 AM, sarfatti wrote:

Do not reply to mindspring which is a dummy address so that I can send
mail on my regular MacMail program out from a WiFi Caffe. Use


also I will be moving soon so " will be defunct.
" is the one to use.

Tony Smith wrote:

"Jack, you ask:

'... 4 special conformal generators ...
What do they locally gauge to?
My hunch is /\zpf,u ...'

Yes, I think so too, and have written some stuff about it
on my web page at
http://www.innerx.net/personal/tsmit...ngraviton.html

The basic reference for that work is a paper by Aldrovandi and Pereira at
http://xxx.lanl.gov/abs/gr-qc/9809061
which describes in some detail how the special conformal group
gives rise to cosmological "constant" type terms.

Yeah that paper is interesting.
They seem to say that the deSitter group limits to 15 parameter
conformal group when cosmological constant limits to
infinity! Also there is an interesting "stringy" duality between
infinite and zero cosmological constant. It is the intermediate cases
that is of interest. Also localizing - not just a space of constant
curvature, i.e. locally gauge the Lie algebra of the De Sitter group
which is more general than the conformal group?

Infinite cosmological constant is point particle when string tension -
infinity hence gravity as curvature is no longer possible.

BTW the "world hologram" idea

Lp*^2 = Lp^4/3(c/Ho)^1/3

is alluring, but has real problems of consistent interpretation such as
cosmological time increase in the Regge slope i.e.
Witten's

alpha' = Lp*^2 = 1/(string tension)

means the string tension decreases as the universe 3D space expands.
My guess is that current astrophysics falsifies that?

The electron rest mass from Higgs field part of Vacuum Coherence is (h
= c = 1)

m ~ e^2/\zpf*^1/2 ~ e^2/(alpha')^1/2

What does this do to e/m?

If /\zpf* = 1/Lp*^2 = 1/G* = (alpha')^-1

And if Blackett relation for quantized trappedEM flux in the Wheeler
micro wormhole
of "Mass without mass" and "Charge without charge":

e = G*1/2 m = (alpha')^1/2m

m ~ (alpha')m^2(alpha)^-1/2 = (alpha')^1/2m^2

Ignoring m = 0 root.

m ~ (alpha')^-1/2

e is then invariant, but e/m is not.

Ho = R(now),t/R(now)

in the FRW metric.

We want G* on large scale 10^-3 cm to be G(Newton) and it is also
thought to be G(Newton) at the Planck scale
10^-33 cm, yet we want G* = 10^40G on the fermi scale of 10^-13 cm



 




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