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George Chapline's objection to Emergent Gravity



 
 
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Old August 3rd 05 posted to sci.math,sci.physics,sci.physics.relativity,sci.physics.particle,sci.astro
Jack Sarfatti
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Default George Chapline's objection to Emergent Gravity

George Chapline objects to my new equation

e(x) = 1 + Lpd(Goldstone-Higgs VEV Phase)

for the Einstein-Cartan tetrad 1-form e(x) where Einstein's

ds^2 = |e(x)|^2 = eI(x)e^I(x)

e^I(x) = eu^I(x)dx^u

d is the exterior derivative on the 0-form Goldstone-Higgs VEV phase

saying that the vacuum has constant phase. However the VEV does not
vanish above this homogeneous unstable GLOBALLY FLAT FALSE VACUUM
WITHOUT GRAVITY (pre-inflation).

Note that

e(x) = 1 + Lpd(Goldstone-Higgs VEV Phase)

B = Lpd(Goldstone-Higgs VEV Phase)

is in analogy with Bohm's

v(IT) = (h/m)Grad(Phase of QUANTUM BIT PILOT WAVE)

where quantum of circulation h/m is replaced by the quantum of
distortion Lp.

Of course, George's example is an oversimplification. For example, take
a Type II superconductor with a lattice of magnetic flux vortices as the
temperature approaches absolute zero. The vortices do not go away and
the phase is definitely not identically zero.

Note - inside the region where |VEV| =/= 0 you can replace the magnetic
flux by "Dirac strings" of argVEV phase singularities (e.g. Abrikosov's
Nobel Lecture Rev Mod Phys for a picture and the math). I call this
"Flux without flux" in accord with Wheeler-Feynman eliminating EM field
completely as independent dynamical fields (see also Hoyle-Narlikar).

Note that

d(VEV Phase) creates gravity with total NEGATIVE ENERGY to COMPENSATE
the any positive energy from it in the total action S(Gravity, VEV),
i.e. Universe is a Free Lunch.
This happens even though local gravity energy density stress tensor is
zero when /\zpf = 0. Here is where we need NONLOCALITY OF THE TOTAL
NEGATIVE GRAVITY ENERGY that compensates any TOTAL POSITIVE NON-GRAVITY
ENERGY.

Note that if one does not like "VEV" (Vacuum Expectation Value) use
ODLRO parameter, since the ODLRO parameter in thermal equilibrium closed
systems, for example, does not vanish. Furthermore, our local universe,
if we are stuck on a BRANE for example in extra dimensions is an OPEN
NON-EQUILIBRIUM SYSTEM since at least GRAVITY LEAKS OFF the 3D BRANE!

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