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| Tags: algebra, cosmology, duality, group, lie, sitter, string |
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#1
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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
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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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