The way Ed Witten might write my basic formulae in terms of the
fundamental string parameter alpha' with h = c = 1 so that alpha' is
essentially the effective Planck area inside of which we need fancy math
like non-commutative "matrix" space-time, i.e. Galois extension of
space-time continuum of real numbers to the hypercomplex numbers like
the "fermionic" extra space dimensions of supersymmetry. The formulae
below are at scales larger than effective Planck area.

Einstein's geometrodynamic field = Minkowski metric + alpha' (Goldstone
Phase)(,u,v)

,u are ordinary partial derivatives in 4D

Goldstone Phase = arg (Vacuum Coherence)

/\zpf = Exotic Vacuum Unified Dark Energy/Matter Field =
(alpha')^-1[(alpha')^3/2|Vacuum Coherence|^2 - 1)

/\zpf 0 is w = -1 anti-gravity exotic vacuum "dark energy"

/\zpf 0 is w = -1 gravitating exotic vacuum "dark matter" which mimics
w = 0 CDM for us distant observers.

Vacuum Coherence = (Higgs Field)e^(Goldstone Field)

O(2) symmetry implies 1D string quantized vortex core topological
defects like in a Type II superconductor.

On Wednesday, November 5, 2003, at 06:11 PM, Jack Sarfatti wrote:

Look at "Elegant Universe" NOVA tonight.

http://www.pbs.org/wgbh/nova/elegant/

Brian Greene telephoned an ET Gray on brane universe next door a
millimeter away using presumably Ray Chiao's "gravity radio" transducer
of off-brane world gravity waves to EM waves. ;-) Also long part on Star
Gate time and space-travel. Ed Witten & Co
http://superstringtheory.com/people/witten.html would be considered real
kooks by the SI CSICOPS if their actual words were given to the CSICOPS
without identifying who they were in a blind fold "Turing Test." The
tidy classical universe of James Oberg & Co is not the Universe of Ed
Witten & Co.

BTW

Q to Ed Witten: How can the cosmological constant be so close to zero
but not zero?

Ed Witten's answer: "I really don't know. It's very perplexing that
astronomical observations seem to show that there is a cosmological
constant. It's definitely the most troublesome, for my interests,
definitely the most troublesome, observation in physics in my lifetime.
In my career that is."


My answer to the same question is at http://qedcorp.com/APS/StarGate1.mov

PS
In my theory

Vacuum Coherence Field = (Higgs Amplitude Field)e^i(Goldstone Phase Field)

This may correspond to locally gauging the one-parameter dilation
subgroup of the 15 parameter conformal "Penrose Massless Twistor" group
of space-time. I am not sure of that as yet. It does come from a
dynamical instability in the Dirac electron vacuum, i.e. virtual photon
exchange between virtual electrons and virtual positron "holes" near the
-mc^2 Fermi surface well inside the 2mc^2 gap giving non-perturbative
"Bose-Einstein" condensation of bound virtual electron-positron pairs
into the complex scalar MACRO-QUANTUM local Vacuum Coherence Field.

Einstein's c-number gravity field for curved space-time is then

guv = (Minkowski metric)u,v + (Planck Area*)(Goldstone Phase)(,u,v)

torsion potential is

suv = (Planck Area*)(Goldstone Phase)[,u,v]

, is ordinary partial derivative.

/\ zpf = Exotic Vacuum Random Zero Point Fluctuation Field = (Planck
Area*)^-1[(Planck Volume*)|Vacuum Coherence Field|^2 - 1)

The strongly attractive dark matter cores of positive pressure inside
the vibrating "strings" have |Vacuum Coherence Field| = 0.

*Note change of sign from my earlier formulae to make the sign
conventions internally consistent where, in the weak field limit

Laplacian of w = -1 Exotic Vacuum Gravity Potential per unit test
particle = c^2/\zpf

where a negative RHS is attractive gravity of positive pressure in the
more general and a positive RHS is repulsive anti-gravity of negative
pressure equal but opposite in sign to the zero point fluctuation energy
density,

Laplacian of Gravity Potential of any "stuff" = G(Mass Density)(1 + 3w)

w = Pressure/Energy Density

The Vacuum Coherence Field is a function of 4 local space-time
coordinates + bosonic coordinates of extra space-dimensions + fermionic
matrix dimensions). Therefore the 1-dim strings vibrate in the
Calabi-Yau fiber space to make the lepto-quarks and gauge force bosons.

All topological defects of the complex scalar Vacuum Coherence Field
with local O(2) symmetry in ordinary space time must be 1-dim strings.
"Branes" mean order parameters with local symmetry larger than O(2).
That is, the Vacuum Coherence Field becomes a hyper-complex number or
matrix function of matrix space-time coordinates on the short scale
inside the effective Planck scale Lp* ~ 1 fermi not 10^-33 cm. My toy
model here is for large macro-scale primarily 10^-13 cm.

The basic universal Regge slope is Ed Witten's "alpha' where

Spin of hadronic resonance = alpha' (Energy)^2 + constant

alpha' = G*/hc^5

Where Lp*^2 = hG*/c^3

G* ~ 10^40 G(Newton)

G* = c^3Lp*^2/h

alpha' = (Lp*/hc)^2

Note that the center of the quantized vibrating Type II "superconductor"
string in hyperspace has Vacuum Coherence Field = 0, therefore

/\zpf(string core) = - 1/Lp*^2 = - (hc)^2alpha'

This, in the case of the electron, solves the problem of the
Abraham-Lorentz-Becker stresses that prevent the spatially extended
electron from exploding due to its self-charge internal + centrifugal
repulsion. The classical space-time singularity seems to be removed as
well as the need for renormalization infinities - the latter for reasons
pointed out by Ed Witten & Co (e.g. April 1996 Physics Today
"Reflections on the Fate of Space-Time"

You can picture a bare electron either as string e^2/mc^2 ~ 1 fermi
(with ends glued to 3 dim brane world) or, via complementarity, as a
tiny quasi rotating charged black hole. This bare electron is surrounded
by a cloud of virtual electron-positron plasma reaching out to a Compton
distance ~ 137(e^2/mc^2) = h/mc. That is for low energy imaging. For
high energy imaging with deep small scale probes the same electron
shrinks in apparent size to ~ 10^-18 cm for current technology because
of the huge micro-gravity space warping.