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Kibble's tetrads and spin connections from the Goldstone phases ofthe coherent vacuum



 
 
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Old November 22nd 06 posted to sci.math,sci.physics.relativity,sci.physics.particle,sci.philosophy.tech,sci.astro
Jack Sarfatti
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Default Kibble's tetrads and spin connections from the Goldstone phases ofthe coherent vacuum

Issue 1 re-expressing Kibble's 10 compensating Poincare group gauge
potentials as Goldstone phases in the Higgs inflation coherent vacuum
ODLRO field.

C^a^b = A^a/\dB^b - dA^a/\B^b

That's 16 matrix elements - each a 1-form in a 4x4 matrix

Kibble's 4 localized T4 tetrads are

e^a = I^a + C^a^a

Kibble's 6 localized O(1,3) spin connections are

W^a^b = C^a^b - C^b^a = - W^b^a

Note that the anti-symmetric 4x4 matrix of spin connections W^a^b may be
reinterpreted in terms of R. Kiehn's macro-spinors?

Issue 2 Holographic Universe, Bekenstein BIT, World Lattice of monopole
defects in the local Higgs fields

|C| = |A|/\d|B| - d|A|/\|B|

|A| = (A^aAa)^1/2

|B| = (B^bBb)^1/2

this gives

&L = Lp^2/3L^1/3

Jack Sarfatti

"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einstein


On Nov 21, 2006, at 11:55 PM, Jack Sarfatti wrote:

Right. I have no idea why he thinks that matters.
It's quite enough that
tetrads & spin connections emerge from Goldstone phases of the vacuum
ODLRO inflation field
very much like
v = (h/m)dtheta
emerges in superfluid helium
That's what's interesting especially since I also get
&l = Lp^2/3L^1/3
With &L = 1 fermi for L = 10^28 cm = 1/(Cosmological Constant)^1/2

Jack Sarfatti

"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einstein


On Nov 21, 2006, at 11:32 PM, Paul Greenberg wrote:

Right. Of course I meant to write "Hilbert action".

The point is that you don't claim to derive the field equations
directly from your BEC model, but only from the Hilbert action --
which defuses Waldyr's objection.

PG

--- In
, Jack Sarfatti
Sarfatti@... wrote:

You mean "Hilbert action" not "Hilbert metric"
Jack Sarfatti
sarfatti@...
"If we knew what it was we were doing, it would not be called
research, would it?"
- Albert Einstein


On Nov 21, 2006, at 10:23 PM, Paul Greenberg wrote:

--- In
, Jack Sarfatti
Sarfatti@ wrote:

Paul your remarks below are irrelevant.


They are irrelevant to your statement that you have "derived GR" from
your BEC model. That's now clear. You don't claim to be able to
justify the Hilbert metric, other than by the results you get from it
when you plug it into the Kibble gauge field model.


The point is I get the tetrads and the spin connections
from the Goldstone phases. That's it.


Right. From your 2 + 6 Goldstone phases.

Once you have that, you have everything.


You only have "everything" if you also have the Hilbert metric.
But it looks like you are treating the Hilbert metric as a postulate.

Yes, I know, it works, and if it ain't broke don't fix it.

The issue of the action is completely a Red Herring.

There may be quantum corrections to the action - who cares it

does not
matter here! It's a trite issue at this stage completely off the

target.


Action Density = {abcd}R^a^b/\e^c/\e^d

I did all this! It's in Ch II of Rovelli - this part is trite.


OK, good.

It's not a valid objection!


OK.


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