Steve Weinberg says he doesn't get it on torsion (PT March 2007)

Aha! Thanks. :-)
On Mar 8, 2007, at 3:06 AM, ROBERT BECKER (RB) wrote:

Jack,

"The reason that Weinberg says in the excerpt you quote below on
Torsion, 'Sorry, I still don't get it.' rather than just 'I don't get
it.', is because Weinberg had already said "I don't get it" in response
to my Letter published in the 4/06 Physics Today referenced by Hehl in
his 3/07 Letter. One cannot conduct an extended tit-for-tat debate in
the Letters section of Physics Today, so I could not respond further to
Weinberg, but it looks like Hehl took up the mantle. Hehl cites some
other authors on torsion; I had cited Vargas's papers and also Shipov.
Vargas was left rather aghast to say the least when he saw the apparent
obtuseness of Weinberg's response." - RB

It is amazing. The great professor is but a shadow of his former self it
appears. Weinberg's 3 books on quantum field theory have all the basic
ideas needed to understand torsion brilliantly presented. Old age I guess.

"Apart from any other consideration, Weinberg chose to overlook the
potential utilitarian advantage to gravitation physics of what I said in
my Letter regarding Teleparallelism (TP). To formally integrate objects
such as energy-momentum densities that are used in conservation laws for
gravitation and in the question of the definition and locality of
energy-momentum in gravitation physics, one needs to "add together"
objects belonging to tangent spaces of different, neighboring points.
But this can not be done in a path independent manner, if at all, unless
the affine curvature vanishes. The affine curvature, which is what is
actually obtained from the Cartan moving frame method (or equivalently
from the tetrads) in the types derivations you have provided many times
in this forum, is not the same object in general as the familiar GR
Riemannian curvature." - RB

The tetrad/spin connection substratum field equations are essentially
spin 1 Yang-Mills type, but for the 10-parameter localized spacetime
universal Poincare symmetry group for all non-gravity source field
dynamical global actions. Therefore, according to t'Hooft, if you
quantize them they are renormalizable in the local gauge invariant
"square root" substratum of the spin 2 non-renormalizable composite
geometrodynamical field of Einstein 1915.

"In particular, the vanishing affine curvature requires non-vanishing
Torsion. This is the TP postulate, which Einstein tried to utilize in
his reworkings of GR in the late 20s-early 30s. Since GR, as you
correctly point out, has vanishing Torsion, it does not postulate TP. As
Vargas has discussed in many Papers, this GR non-assumption, in turn,
may have a profound effect on the issue of conservation laws and the
definition of energy-momentum in GR and gravitation physics." - RB

Indeed, that may be the origin of the fact that 1915 GR with zero
torsion (i.e. not all of the 10-parameter Poincare group is localized)
has nonrenormalizable spin 2 nonlocality in the gravity vacuum
stress-energy. I am not sure of that of course.

"Hehl brings out another important point: the relation of Torsion to
translation. It is customary in physics to associate Torsion with spin
one way or another. I believe both you and Shipov follow this
interpretation. However, Vargas and others, like Pommaret, reject the
association of Torsion spin or rotation because it is mathematically
closely related to translation as Hehl highlights in his Letter. Vargas
finds a geometrodynamical association of Torsion with the EM field,
rather than spin." - RB

I pointed out this is a tricky point that Rovelli and Kibble clarify.

The GCT gauge freedom of 1915 GR comes from localizing only the
4-parameter translation subgroup T(4) of the 10-parameter Poincare group
P[T(4),SO(1,3)]. Clearly the local GCT's

x^u = x^u(x^u') are localized infinitesimal translations a^u(x^u'), i.e.
4-parameter

x^u - x^u + a^u(x^u')

In global 1905 special relativity the infinitesimal "elastic
deformation" a^u(x^u') of Hagen Kleinert's 4D world crystal Planck
lattice is a global constant over the entire infinity of Minkowski
spacetime. This is global action at a distance that violates local
objective light cone limited causality, hence localization is absolutely
necessary to maintain orthodox causality. Global special relativity
without gravity is a half-way house first-approximation that is not
internally consistent from this POV.

On the other hand there is no question that dislocation defects in the
Kleinert world crystal lattice (Burger's vectors et-al) form the torsion
field gaps and that the disclination defects for parallel transport
around closed loops of the lattice where

V^u(finish) - V^u(start) ~ SO(1,3)^uu'V^u'(start) ~ R^uvwlA^v^wV^l(start)

A^v^w = - A^w^v is the sectional area element of the small loop

form the curvature.

Therefore there are two dual POV

on the one hand

1915 GR with curvature only and zero torsion emerges from the local
gauging of 4-parameter T(4)

on the other hand

1915 GR with curvature only and zero torsion is associated with a local
Lorentz transformation LLT of the 4-vector around the closed loop (no
torsion gap).

Of course when one does the actual Cartan form algebra there is no
problem. The problem is only one of the informal language (Bohm) not of
the mathematics.

Thus the 4 GCT invariant tetrad 1-forms are the LLT 4-vector components

e(4)^a = I^a + A(4)^a

I^a is the trivial globally flat 1905 SR tetrad

A(4)^a is the intrinsically warped "gauge connection potential" from
localizing 4-parameter T(4).

Einstein's 1915 fundamental local GCT & LLT scalar invariant is

ds^2 = e^aea = (Minkowski metric)abe^ae^b = guvdx^udx^v

Einstein's 1915 constraint of zero torsion is the vanishing 2-form

T(4)^a = de(4)^a + S(4)^ac/\e(4)^c = 0

This with metricity, see Rovelli's explicit formula Ch 2 of his online
"Quantum Gravity" gives the 6 zero torsion field effective
spin-connnection 1-forms

S(4)^a^b = - S(4)^b^a

only from localizing T(4) to get the spin 1 Yang-Mills potential A(4)^a

A(4)^a spin 1 because it's a Lorentz group 4-vector in the a-index.

This warped localized tetrad resembles the EM 4-potential with "internal
index" "a" i.e. "Yang-Mills".

The pure disclination curvature defects without torsion gaps then come
from the curvature 2-form

R(4)^a^b = dS(4)^a^b + S(4)^ac/\S^cb

And no TP of course at this stage as you say.

Next step is to locally gauge SO(1,3) giving the additional independent
torsion gap field spin connection 1-forms

S(1,3)^a^b

The full connection is then S(4)^a^b + S(1,3)^a^b

Where now

T^a(1,3) = S(1,3)^ac/\e^c =/= 0

R(10)^a^b = d[S(4)^a^b + S(1,3)^a^b] + [S(4)^ac + S(1,3)^ac]/\[S(4)^c^b
+ S(1,3)^c^b]

Where the TP Ansatz is obviously in my transparent notation using only
local objective GCT invariants (coordinate independent)

R(10)^a^b = 0

where

R(10)^a^b = R(4)^a^b + R(1,3)^a^b + S(4)^ac/\S(1,3)^cb + S(1,3)^ac/\S(4)^cb

Hence two "diagonal" curvature 2-forms. Utiyama in 1960 computed
R(1,3)^a^b in effect without R(4)^a^b.

This settles the above informal language confusion you mention!

Note also the two T(4) x SO(1,3) cross-coupling terms.

*I am going to completely rewrite my emergent gravity archive paper with
these new results of course.


Jack Sarfatti wrote to Mark Pesses:
Yes, thanks I know. :-)
BTW my theory for emergent gravity with torsion needs exactly 8 Higgs
bosons one for each Goldstone boson.

I have N = 8 to get Einstein's tetrads and spin connections emergent.

from my CIT talk under construction (outline sans math type equations)

M Theory for Idiots
Emergence of tetrads and spin connections from the spontaneous
breakdown of localized Poincare group symmetry in the post-inflation
physical vacuum.
Jack Sarfatti
Missing Organizing Idea
Witten and Green say they are missing the key idea denoted as “?�
No Rigid Symmetries
Locally gauging a nondynamical rigid symmetry group of the action
(either internal or spacetime) of a given source field introduces a
gauge force coupled to the source as the compensating connection
field needed to maintain gauge invariance for the now dynamical non-
rigid symmetry group.
Weinberg doesn’t get it?
How is that possible?
“Sorry I still don’t get it. Is there any physical principle, such
as a principle of invariance that would require the Christoffel
symbol to be accompanied by some specific additional tensor? …�
Steven Weinberg to Fred Hehl on the role of the torsion field in
spacetime physics in March, 2007 Physics Today.

Spontaneous Symmetry Breaking
Spontaneously breaking a vacuum symmetry means macroscopic occupation
of a single-particle mode by a large number of virtual off-mass-shell
particles.
In a vacuum the ODLRO condensate is composed of virtual quanta in
contrast to the ground state of superfluid helium where the
condensate is made from real helium atoms on mass shell.
Local & Broken
The broken symmetry need not be the same as the locally gauged
symmetry, but can be. In gravity theory rigid translational symmetry
is spontaneously broken in order to have localized variable spacetime
curvature. The action still obeys the symmetry, only the vacuum does
not obey it.
Higgs Vacuum Manifold
N independent Goldstone phases require N+1 real Higgs scalar fields.
The degenerate vacua lie on the unit SN spherical hypersurface:

Higgs Vacuum Potential
The “More is different� emergent macro-quantum coherent vacuum
order parameter has the effective potential


Dynamical L-G Eq.
Covariant dynamical Landau-Ginzburg equation for the macro-quantum
coherent hologram “Volume without volume� vacuum order parameter is


Local Gauge Invariance
Localizing the 10-parameter globally rigid Poincare group of 1905 SR
universally for all non-gravity source field actions gives the 4
Einstein-Cartan tetrads and the 6 spin connections as compensating
gauge potentials.
This is similar to localizing the internal symmetry groups in Yang-
Mills theory of the electroweak-strong forces.


M = My Mystery Matrix
Start with two Lorentz 4-vectors of 0-forms
Compactification
Each Minkowski 4-vector has magnitude

Michael Faraday
I use Faraday’s “lines of force� in a metaphorical way for the
geometrodynamic field compacted down from 9 + 1 to 3 + 1.
Two Goldstone phases have three single-valued real Higgs fields with
stable quantized (wrapping integers) point “monopole� defects in
3D space.
A single Goldstone phase has two real Higgs fields with stable
quantized (winding integers) line “vortex core� stringy defects.
Line Density Operator
The geometrodynamic line density operator is the non-closed 1-form


Area Density Operator
The geometrodynamic area density 2-form is closed. This is the world
hologram idea in action.

Stoke’s Theorem
The deRahm integral of a p-form on a p-cycle (without boundary)
equals the p-form’s exterior derivative on a p+1 co-form whose
boundary is the p-cycle.

Closed Forms
A p-form is closed if its exterior derivative vanishes. When the
interior of the p-cycle is simply connected without “holes� the
integral of the closed p-form vanishes.
Otherwise the integral is proportional to an integer analogous to
Bohr-Sommerfeld quantization in the old quantum theory and quantized
circulation in superfluid helium vortices.
World Holography
The geometrodynamic volume density operator 3-form should be
proportional to the exterior derivative of the area density operator
2-form. However, the area operator is closed. Therefore, the volume
operator is locally zero.
Volume is a holographic projection of the area density operator
integrated on a nonbounding 2-cycle enclosing point defects in the
single-valued 3-real Higgs component field projection on 3+1 from 9
+ 1 spacetime.
Bekenstein BITS
The integral of the geometrodynamic area density operator 2-form,
over a non-bounding closed 2-surface (cycle) surrounding a multiply-
connected 3D interior with “holes� where the 3 real Higgs fields
all vanish so that the 2 compacted Goldstone phases are undefined, is
quantized.
Volume without volume
Although Stoke’s theorem rigorously does not apply to closed non-
bounding 2D surfaces S2 , whose 3D interior M3 is multiply connected,
physical intuition demands the as-if holographic imaging


Calabi-Yau
These 2 constraints leave 6 angular Kaluza-Klein Goldstone phases
whose radii determine coupling constants like the moduli of Calabi-
Yau space.
Gennady Shipov gets this structure in his version of torsion field
theory calling the extra 6 degrees of freedom an “oriented
point� (suggesting “branes�)
Higgs Potential
The 8 Goldstone phases require 9 real Higgs scalar fields.
One degenerate vacuum manifold is S8. There are other topologies.
From the POV of nontrivial homotopy groups for stable topological
defects they fit most naturally in the 9D + 1 spacetime of
superstring theory.
Shipov’s Brane Worlds
Thus

Einstein-Cartan Tetrads
The four GCT invariant 1-forms are

Analogy to Superfluid
The fabric of spacetime is an elastic 4D GCT covariant supersolid,
compare


Macro-Quantum Gravity
There is no curvature gravity field in my emergent “More is
different� (P.W. Anderson) theory if
G = 0
h = 0
1/c = 0
Cartan 1-Forms
In terms of GCT tensor scalar invariant products, the 4 tetrads and 6
antisymmetric spin connection 1-forms are

Tetrad Decomposition
The GCT invariant globally flat tetrads and locally curved tetrads
are respectively


Spin Connections
The six GCT invariant connection 1-forms are

GCT Covariant D
The curved Cartan exterior derivative is

Torsion Field 2-Form
In 1915 GR this is zero
Curvature 2-Form
Take the covariant exterior derivative of the 1-form spin connection
to get the curvature 2-form


Einstein-Hilbert Action
The GCT & LLT field Lagrangian density is



On Mar 7, 2007, at 8:48 PM, wrote:

Particle X in rare decay could belong to a new physics model

By Lisa Zyga
A particle that may mediate the rare decay of a Sigma-plus hyperon
appears to have close affiliations with a light Higgs boson found
in one supersymmetric model—an interpretation suggesting
unambiguous evidence for physics beyond the standard model (SM),
scientists say.


Xiao-Gang He of the National Taiwan University, Jusak Tandean of
the University of La Verne, and German Valencia of Iowa State have
investigated the so-called HyperCP result observed at Fermilab a
little over two years ago. While the HyperCP Collaboration began as
a search for CP symmetry violation, the rare decay of the Sigma-
plus hyperon (made of a strange quark and two up quarks) opens the
possibility for the existence of a new particle with unusual
characteristics.


This unverified particle, which He and colleagues call particle X,
would act as the intermediate state when the Sigma-plus decays to
its final state, of a proton, muon-plus and muon-minus. With its
extremely light mass (214.3 MeV), low energy, and smallest-ever
branching ratio for a baryon decay, particle X would have less than
a 1% chance of being accounted for within the SM.

Although He and colleagues showed in an earlier paper that the
HyperCP result may be explained by the SM if there is no new
particle, the implications of a new particle are considerable. If
scientists find that particle X is indeed a new particle belonging
to a different model, the breakdown of the SM would open up new
doors for future investigations in many areas, and possibly answer
many questions unanswered by the SM.

In their recent paper published in Physical Review Letters, He et
al. turned their attention to a model called the “next-to-minimal
sypersymmetric standard model� (NMSSM) that contains seven Higgs
bosons. The scientists showed that the lightest one is the main
component of a particle called A01, and that A01 satisfies all the
constraints of particle X.

“If the existence of a very light A01 is confirmed, other models
such as the SM, which do not have any light Higgs bosons, will be
ruled out,� Tandean told PhysOrg.com.

Tandean also explained how, although the SM has withstood many
experimental tests, there are some issues that the model doesn’t
address.

“One issue is the so-called hierarchy problem: why the electroweak
scale (represented by the W and Z boson masses, of order 100 GeV)
is so much smaller than the Planck scale (1019 GeV), at which
gravity becomes important for elementary particle interactions,�
he said. “One aspect of this issue is that quantum corrections to
the Higgs mass make its value arbitrarily large, up to the Planck
scale. This clearly contradicts the requirement that the Higgs be
lighter than a few hundred GeV.�

However, as Tandean explained, supersymmetric models (where every
SM particle has a corresponding superpartner) can provide a natural
solution to this problem.

�The presence of the superpartners results in the cancellation of
the large quantum corrections, leading to a Higgs mass at the
desired level,� he said. “The minimal version of such models is
called the Minimal Supersymmetric Standard Model (MSSM). The MSSM
is a very attractive model in many ways, but it does not address
the question of why the electroweak scale is much smaller than the
Planck scale to begin with—this is the so-called mu problem.

“Interestingly, the Next-to-Minimal Supersymmetric Standard Model
(NMSSM) solves this problem by adding a set of two particles to the
MSSM in such a way that the electroweak scale can be naturally
small. The NMSSM has been extensively studied in the literature and
has many other interesting features. It is therefore a well-
motivated model.�
Among the constraints that the NMSSM’s A01 can satisfy include
explaining why X is very light: the mass of A01 can be as low as
100 MeV, and when the mass is 214.3 MeV, the decay into a muon-anti-
muon dominates over other possible modes. Secondly, the
interactions of A01 can produce the same rate found in the HyperCP
observation.

Thirdly, A01 explains why previous experiments with kaons and B-
mesons that thoroughly explored the same regions where X exists
never saw X. For these reasons, kaon and B-meson decays impose
severe constraints on the properties of X, specifically regarding
two-quark couplings. This means that, even though A01 could explain
the new particle over a wide range of parameters, there are only
narrow ranges for which the kaon constraints are also satisfied.
However, the scientists also suggest that revisiting these
constraints might reveal some overlooked data.

In the future, two new particle accelerators—the Large Hadron
Collider (LHC) and International Linear Collider (ILC)—might shed
more light on the Higgs hypothesis. Supersymmetry may determine
some parameters of particle X, where investigations of squark and
chargino intermediate states in the NMSSM might provide more evidence.

“The LHC and ILC have the capability of finding the charginos
predicted by supersymmetric theories, depending on the chargino
masses,� Tandean said. “In our study, we find that in order to
explain the HyperCP results, the lighter chargino mass has to be
around 100 GeV, which is within the range to be probed by the LHC
and ILC. At the LHC and ILC, it is also possible to study the usual
Higgs boson, h, in detail (or the one playing the role of h in
NMSSM). If the A01 is the X particle, the process h -- XX can
occur and may become the dominant decay mode if the h mass is
relatively small (120 to 130 GeV). By studying the properties of h
in detail, one may verify that X is the A01.�

Citation: He, Xiao-Gang, Tandean, Jusak, Valencia, G. “Does the
HyperCP Evidence for the Decay ‘Sigma-plus to a proton, muon-plus
and muon-minus’ Indicate a Light Pseudoscalar Higgs Boson?�
Physical Review Letters 98, 081802 (2007).

By Lisa Zyga, Copyright 2007 PhysOrg.com.
All rights reserved. This material may not be published, broadcast,
rewritten or redistributed in whole or part without the express
written permission of PhysOrg.com.



Jack Sarfatti

"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einstein
http://www.authorhouse.com/BookStore...x?bookid=23999
http://lifeboat.com/ex/bios.jack.sarfatti
http://qedcorp.com/APS/Dec122006.ppt
http://video.google.com/videoplay?do...ausation&hl=en
http://www.flickr.com/photos/lub/sets/72157594439814784

On Mar 8, 2:07Â*pm, Jack Sarfatti wrote:
Aha! Thanks. :-)
On Mar 8, 2007, at 3:06 AM, ROBERT BECKER (RB) wrote:

Jack,

"The reason that Weinberg says in the excerpt you quote below on
Torsion, 'Sorry, I still don't get it.' rather than just 'I don't get
it.', is because Weinberg had already said "I don't get it" in response
to my Letter published in the 4/06 Physics Today referenced by Hehl in
his 3/07 Letter. One cannot conduct an extended tit-for-tat debate in
the Letters section of Physics Today, so I could not respond further to
Weinberg, but it looks like Hehl took up the mantle. Hehl cites some
other authors on torsion; I had cited Vargas's papers and also Shipov.
Vargas was left rather aghast to say the least when he saw the apparent
obtuseness of Weinberg's response." - RB

It's obvious what he doesn't get, since the only
thing he does get is quarks,






It is amazing. The great professor is but a shadow of his former self it
appears. Weinberg's 3 books on quantum field theory have all the basic
ideas needed to understand torsion brilliantly presented. Old age I guess.

"Apart from any other consideration, Weinberg chose to overlook the
potential utilitarian advantage to gravitation physics of what I said in
my Letter regarding Teleparallelism (TP). To formally integrate objects
such as energy-momentum densities that are used in conservation laws for
gravitation and in the question of the definition and locality of
energy-momentum in gravitation physics, one needs to "add together"
objects belonging to tangent spaces of different, neighboring points.
But this can not be done in a path independent manner, if at all, unless
the affine curvature vanishes. The affine curvature, which is what is
actually obtained from the Cartan moving frame method (or equivalently
from the tetrads) in the types derivations you have provided many times
in this forum, is not the same object in general as the familiar GR
Riemannian curvature." - RB

The tetrad/spin connection substratum field equations are essentially
spin 1 Yang-Mills type, but for the 10-parameter localized spacetime
universal Poincare symmetry group for all non-gravity source field
dynamical global actions. Therefore, according to t'Hooft, if you
quantize them they are renormalizable in the local gauge invariant
"square root" substratum of the spin 2 non-renormalizable composite
geometrodynamical field of Einstein 1915.

"In particular, the vanishing affine curvature requires non-vanishing
Torsion. This is the TP postulate, which Einstein tried to utilize in
his reworkings of GR in the late 20s-early 30s. Since GR, as you
correctly point out, has vanishing Torsion, it does not postulate TP. As
Vargas has discussed in many Papers, this GR non-assumption, in turn,
may have a profound effect on the issue of conservation laws and the
definition of energy-momentum in GR and gravitation physics." - RB

Indeed, that may be the origin of the fact that 1915 GR with zero
torsion (i.e. not all of the 10-parameter Poincare group is localized)
has nonrenormalizable spin 2 nonlocality in the gravity vacuum
stress-energy. I am not sure of that of course.

"Hehl brings out another important point: the relation of Torsion to
translation. It is customary in physics to associate Torsion with spin
one way or another. I believe both you and Shipov follow this
interpretation. However, Vargas and others, like Pommaret, reject the
association of Torsion spin or rotation because it is mathematically
closely related to translation as Hehl highlights in his Letter. Vargas
finds a geometrodynamical association of Torsion with the EM field,
rather than spin." - RB

I pointed out this is a tricky point that Rovelli and Kibble clarify.

The GCT gauge freedom of 1915 GR comes from localizing only the
4-parameter translation subgroup T(4) of the 10-parameter Poincare group
P[T(4),SO(1,3)]. Clearly the local GCT's

x^u = x^u(x^u') are localized infinitesimal translations a^u(x^u'), i.e.
4-parameter

x^u - x^u + a^u(x^u')

In global 1905 special relativity the infinitesimal "elastic
deformation" a^u(x^u') of Hagen Kleinert's 4D world crystal Planck
lattice is a global constant over the entire infinity of Minkowski
spacetime. This is global action at a distance that violates local
objective light cone limited causality, hence localization is absolutely
necessary to maintain orthodox causality. Global special relativity
without gravity is a half-way house first-approximation that is not
internally consistent from this POV.

On the other hand there is no question that dislocation defects in the
Kleinert world crystal lattice (Burger's vectors et-al) form the torsion
field gaps and that the disclination defects for parallel transport
around closed loops of the lattice where

V^u(finish) - V^u(start) ~ SO(1,3)^uu'V^u'(start) ~ R^uvwlA^v^wV^l(start)

A^v^w = - A^w^v is the sectional area element of the small loop

form the curvature.

Therefore there are two dual POV

on the one hand

1915 GR with curvature only and zero torsion emerges from the local
gauging of 4-parameter T(4)

on the other hand

1915 GR with curvature only and zero torsion is associated with a local
Lorentz transformation LLT of the 4-vector around the closed loop (no
torsion gap).

Of course when one does the actual Cartan form algebra there is no
problem. The problem is only one of the informal language (Bohm) not of
the mathematics.

Thus the 4 GCT invariant tetrad 1-forms are the LLT 4-vector components

e(4)^a = I^a + A(4)^a

I^a is the trivial globally flat 1905 SR tetrad

A(4)^a is the intrinsically warped "gauge connection potential" from
localizing 4-parameter T(4).

Einstein's 1915 fundamental local GCT & LLT scalar invariant is

ds^2 = e^aea = (Minkowski metric)abe^ae^b = guvdx^udx^v

Einstein's 1915 constraint of zero torsion is the vanishing 2-form

T(4)^a = de(4)^a + S(4)^ac/\e(4)^c = 0

This with metricity, see Rovelli's explicit formula Ch 2 of his online
"Quantum Gravity" gives the 6 zero torsion field effective
spin-connnection 1-forms

S(4)^a^b = - S(4)^b^a

only from localizing T(4) to get the spin 1 Yang-Mills potential A(4)^a

A(4)^a spin 1 because it's a Lorentz group 4-vector in the a-index.

This warped localized tetrad resembles the EM 4-potential with "internal
index" "a" i.e. "Yang-Mills".

The pure disclination curvature defects without torsion gaps then come
from the curvature 2-form

R(4)^a^b = dS(4)^a^b + S(4)^ac/\S^cb

And no TP of course at this stage as you say.

Next step is to locally gauge SO(1,3) giving the additional independent
torsion gap field spin connection 1-forms

S(1,3)^a^b

The full connection is then S(4)^a^b + S(1,3)^a^b

Where now

T^a(1,3) = S(1,3)^ac/\e^c =/= 0

R(10)^a^b = d[S(4)^a^b + S(1,3)^a^b] + [S(4)^ac + S(1,3)^ac]/\[S(4)^c^b
+ S(1,3)^c^b]

Where the TP Ansatz is obviously in my transparent notation using only
local objective GCT invariants (coordinate independent)

R(10)^a^b = 0

where

R(10)^a^b = R(4)^a^b + R(1,3)^a^b + S(4)^ac/\S(1,3)^cb + S(1,3)^ac/\S(4)^cb

Hence two "diagonal" curvature 2-forms. Utiyama in 1960 computed
R(1,3)^a^b in effect without R(4)^a^b.

This settles the above informal language confusion you mention!

Note also the two T(4) x SO(1,3) cross-coupling terms.

*I am going to completely rewrite my emergent gravity archive paper with
these new results of course.

Jack Sarfatti wrote to Mark Pesses:
Yes, thanks I know. :-)
BTW my theory for emergent gravity with torsion needs exactly 8 Higgs
bosons one for each Goldstone boson.

I have N = 8 to get Einstein's tetrads and spin connections emergent.

from my CIT talk under construction (outline sans math type equations)

M Theory for Idiots
Emergence of tetrads and spin connections from the spontaneous
breakdown of localized Poincare group symmetry in the post-inflation
physical vacuum.
Jack Sarfatti
Missing Organizing Idea
Witten and Green say they are missing the key idea denoted as “?�
No Rigid Symmetries
Locally gauging a nondynamical rigid symmetry group of the action
(either internal or spacetime) of a given source field introduces a
gauge force coupled to the source as the compensating connection
field needed to maintain gauge invariance for the now dynamical non-
rigid symmetry group.
Weinberg doesn’t get it?
How is that possible?
“Sorry I still don’t get it. Is there any physical principle, such
as a principle of invariance that would require the Christoffel
symbol to be accompanied by some specific additional tensor? …�
Steven Weinberg to Fred Hehl on the role of the torsion field in
spacetime physics in March, 2007 Physics Today.

Spontaneous Symmetry Breaking
Spontaneously breaking a vacuum symmetry means macroscopic occupation
of a single-particle mode by a large number of virtual off-mass-shell
particles.
In a vacuum the ODLRO condensate is composed of virtual quanta in
contrast to the ground state of superfluid helium where the
condensate is made from real helium atoms on mass shell.
Local & Broken
The broken symmetry need not be the same as the locally gauged
symmetry, but can be. In gravity theory rigid translational symmetry
is spontaneously broken in order to have localized variable spacetime
curvature. The action still obeys the symmetry, only the vacuum does
not obey it.
Higgs Vacuum Manifold
N independent Goldstone phases require N+1 real Higgs scalar fields.
The degenerate vacua lie on the unit SN spherical hypersurface:

Higgs Vacuum Potential
The “More is different� emergent macro-quantum coherent vacuum
order parameter has the effective potential

Dynamical L-G Eq.
Covariant dynamical Landau-Ginzburg equation for the macro-quantum
coherent hologram “Volume without volume� vacuum order parameter is

Local Gauge Invariance
Localizing the 10-parameter globally rigid Poincare group of 1905 SR
universally for all non-gravity source field actions gives the 4
Einstein-Cartan tetrads and the 6 spin connections as compensating
gauge potentials.
This is similar to localizing the internal symmetry groups in Yang-
Mills theory of the electroweak-strong forces.

M = My Mystery Matrix
Start with two Lorentz 4-vectors of 0-forms
Compactification
Each Minkowski 4-vector has magnitude

Michael Faraday
I use Faraday’s “lines of force� in a metaphorical way for the
geometrodynamic field compacted down from 9 + 1 to 3 + 1.
Two Goldstone phases have three single-valued real Higgs fields with
stable quantized (wrapping integers) point “monopole� defects in
3D space.
A single Goldstone phase has two real Higgs fields with stable
quantized (winding integers) line “vortex core� stringy defects.
Line Density Operator
The geometrodynamic line density operator is the non-closed 1-form

Area Density Operator
The geometrodynamic area density 2-form is closed. This is the world
hologram idea in action.

Stoke’s Theorem
The deRahm integral of a p-form on a p-cycle (without boundary)
equals the p-form’s exterior derivative on a p+1 co-form whose
boundary is the p-cycle.

Closed Forms
A p-form is closed if its exterior derivative vanishes. When the
interior of the p-cycle is simply connected without “holes� the
integral of the closed p-form vanishes.
Otherwise the integral is proportional to an integer analogous to
Bohr-Sommerfeld quantization in the old quantum theory and quantized
circulation in superfluid helium vortices.
World Holography
The geometrodynamic volume density operator 3-form should be
proportional to the exterior derivative of the area density operator
2-form. However, the area operator is closed. Therefore, the volume
operator is locally zero.
Volume is a holographic projection of the area density operator
integrated on a nonbounding 2-cycle enclosing point defects in the
single-valued 3-real Higgs component field projection on 3+1 from 9
+ 1 spacetime.
Bekenstein BITS
The integral of the geometrodynamic area density operator 2-form,
over a non-bounding closed 2-surface (cycle) surrounding a multiply-
connected 3D interior with “holes� where the 3 real Higgs fields
all vanish so that the 2 compacted Goldstone phases are undefined, is
quantized.
Volume without volume
Although Stoke’s theorem rigorously does not apply to closed non-
bounding 2D surfaces S2 , whose 3D interior M3 is multiply connected,
physical intuition demands the as-if holographic imaging

Calabi-Yau
These 2 constraints leave 6 angular Kaluza-Klein Goldstone phases
whose radii determine coupling constants like the moduli of Calabi-
Yau space.
Gennady Shipov gets this structure in his version of torsion field
theory calling the extra 6 degrees of freedom an “oriented
point� (suggesting “branes�)
Higgs Potential
The 8 Goldstone phases require 9 real Higgs scalar fields.
One degenerate vacuum manifold is S8. There are other topologies.
Â*From the POV of nontrivial homotopy groups for stable topological
defects they fit most naturally in the 9D + 1 spacetime of
superstring theory.
Shipov’s Brane Worlds
Thus

Einstein-Cartan Tetrads
The four GCT invariant 1-forms are

Analogy to Superfluid
The fabric of spacetime is an elastic 4D GCT covariant supersolid,
compare

Macro-Quantum Gravity
There is no curvature gravity field in my emergent “More is
different� (P.W. Anderson) theory if
G = 0
h = 0
1/c = 0
Cartan 1-Forms
In terms of GCT tensor scalar invariant products, the 4 tetrads and 6
antisymmetric spin connection 1-forms are

Tetrad Decomposition
The GCT invariant globally flat tetrads and locally curved tetrads
are respectively

Spin Connections
The six GCT invariant connection 1-forms are

GCT Covariant D
The curved Cartan exterior derivative is

Torsion Field 2-Form
In 1915 GR this is zero
Curvature 2-Form
Take the covariant exterior derivative of the 1-form spin connection
to get the curvature 2-form

Einstein-Hilbert Action
The GCT & LLT field Lagrangian density is

On Mar 7, 2007, at 8:48 PM, wrote:

Â* Particle X in rare decay could belong to a new physics model
Â*
Â* By Lisa Zyga
Â* A particle that may mediate the rare decay of a Sigma-plus hyperon
Â* appears to have close affiliations with a light Higgs boson found
Â* in one supersymmetric model—an interpretation suggesting
Â* unambiguous evidence for physics beyond the standard model (SM),
Â* scientists say.
Â*
Â*
Â* Xiao-Gang He of the National Taiwan University, Jusak Tandean of
Â* the University of La Verne, and German Valencia of Iowa State have
Â* investigated the so-called HyperCP result observed at Fermilab a
Â* little over two years ago. While the HyperCP Collaboration began as
Â* a search for CP symmetry violation, the rare decay of the Sigma-
Â* plus hyperon (made of a strange quark and two up quarks) opens the
Â* possibility for the existence of a new particle with unusual
Â* characteristics.
Â*
Â*
Â* This unverified particle, which He and colleagues call particle X,
Â* would act as the intermediate state when the Sigma-plus decays to
Â* its final state, of a proton, muon-plus and muon-minus. With its
Â* extremely light mass (214.3 MeV), low energy, and smallest-ever
Â* branching ratio for a baryon decay, particle X would have less than
Â* a 1% chance of being accounted for within the SM.
Â*
Â* Although He and colleagues showed in an earlier paper that the
Â* HyperCP result may be explained by the SM if there is no new
Â* particle, the implications of a new particle are considerable. If
Â* scientists find that particle X is indeed a new particle belonging
Â* to a different model, the breakdown of the SM would open up new
Â* doors for future investigations in many areas, and possibly answer
Â* many questions unanswered by the SM.
Â*
Â* In their recent paper published in Physical Review Letters, He et
Â* al. turned their attention to a model called the “next-to-minimal
Â* sypersymmetric standard modelâ€� (NMSSM) that contains seven Higgs
Â* bosons. The scientists showed that the lightest one is the main
Â* component of a particle called A01, and that A01 satisfies all the
Â* constraints of particle X.
Â*
Â* “If the existence of a very light A01 is confirmed, other models
Â* such as the SM, which do not have any light Higgs bosons, will be
Â* ruled out,â€� Tandean told PhysOrg.com.
Â*
Â* Tandean also explained how, although the SM has withstood many
Â* experimental tests, there are some issues that the model doesn’t
Â* address.
Â*
Â* “One issue is the so-called hierarchy problem: why the electroweak
Â* scale (represented by the W and Z boson masses, of order 100 GeV)
Â* is so much smaller than the Planck scale (1019 GeV), at which
Â* gravity becomes important for elementary particle interactions,â€�
Â* he said. “One aspect of this issue is that quantum corrections to
Â* the Higgs mass make its value arbitrarily large, up to the Planck
Â* scale. This clearly contradicts the requirement that the Higgs be
Â* lighter than a few hundred GeV.â€�
Â*
Â* However, as Tandean explained, supersymmetric models (where every
Â* SM particle has a corresponding superpartner) can provide a natural
Â* solution to this problem.
Â*
Â* â€�The presence of the superpartners results in the cancellation of
Â* the large quantum corrections, leading to a Higgs mass at the
Â* desired level,â€� he said. “The minimal version of such models is
Â* called the Minimal Supersymmetric Standard Model (MSSM). The MSSM
Â* is a very attractive model in many ways, but it does not address
Â* the question of why the electroweak scale is much smaller than the
Â* Planck scale to begin with—this is the so-called mu problem.
Â*
Â* “Interestingly, the Next-to-Minimal Supersymmetric Standard Model
Â* (NMSSM) solves this problem by adding a set of two particles to the
Â* MSSM in such a way that the electroweak scale can be naturally
Â* small. The NMSSM has been extensively studied in the literature and
Â* has many other interesting features. It is therefore a well-
Â* motivated model.â€�
Â* Among the constraints that the NMSSM’s A01 can satisfy include
Â* explaining why X is very light: the mass of A01 can be as low as
Â* 100 MeV, and when the mass is 214.3 MeV, the decay into a muon-anti-
Â* muon dominates over other possible modes. Secondly, the
Â* interactions of A01 can produce the same rate found in the HyperCP
Â* observation.
Â*
Â* Thirdly, A01 explains why previous experiments with kaons and B-
Â* mesons that thoroughly explored the same regions where X exists
Â* never saw X. For these reasons, kaon and B-meson decays impose
Â* severe constraints on the properties of X, specifically regarding
Â* two-quark couplings. This means that, even though A01 could explain
Â* the new particle over a wide range of parameters, there are only
Â* narrow ranges for which the kaon constraints are also satisfied.
Â* However, the scientists also suggest that revisiting these
Â* constraints might reveal some overlooked data.
Â*
Â* In the future, two new particle accelerators—the Large Hadron
Â* Collider (LHC) and International Linear Collider (ILC)—might shed
Â* more light on the Higgs hypothesis. Supersymmetry may determine
Â* some parameters of particle X, where investigations of squark and
Â* chargino intermediate states in the NMSSM might provide more evidence.
Â*
Â* “The LHC and ILC have the capability of finding the charginos
Â* predicted by supersymmetric theories, depending on the chargino
Â* masses,â€� Tandean said. “In our study, we find that in order to
Â* explain the HyperCP results, the lighter chargino mass has to be
Â* around 100 GeV, which is within the range to be probed by the LHC
Â* and ILC. At the LHC and ILC, it is also possible to study the usual
Â* Higgs boson, h, in detail (or the one playing the role of h in
Â* NMSSM). If the A01 is the X particle, the process h -- XX can
Â* occur and may become the dominant decay mode if the h mass is
Â* relatively small (120 to 130 GeV). By studying the properties of h
Â* in detail, one may verify that X is the A01.â€�
Â*
Â* Citation: He, Xiao-Gang, Tandean, Jusak, Valencia, G. “Does the
Â* HyperCP Evidence for the Decay ‘Sigma-plus to a proton, muon-plus
Â* and muon-minus’ Indicate a Light Pseudoscalar Higgs Boson?â€�
Â* Physical Review Letters 98, 081802 (2007).
Â*
Â* By Lisa Zyga, Copyright 2007 PhysOrg.com.
Â* All rights reserved. This material may not be published, broadcast,
Â* rewritten or redistributed in whole or part without the express
Â* written permission of PhysOrg.com.
Â*

Jack Sarfatti

"If we knew what it was we were doing, it would not be called research,
would it?"
- Albert Einsteinhttp://www.authorhouse.com/BookStore/ItemDetail.aspx?bookid=23999http://lifeboat.com/ex/bios.jack.sarfattihttp://qedcorp.com/APS/Dec122006.ppthttp://video.google.com/videoplay?docid=-1310681739984181006&q=Sarfat...http://www.flickr.com/photos/lub/sets/72157594439814784