On Aug 14, 2005, at 4:07 AM, Gennady Shipov (Russian physicist from
Moscow) wrote:
"Yes Jack. Metric engineering of warp drive require the Ricci torsion."
Yes, I agree that we need your torsion field to get non-vanishing
gradients in the zero point energy density field /\zpf^,v =/= 0 without
which we cannot practically control the fabric of space-time by a kind
of Josephson weak link in my theory
http://qedcorp.com/APS/zpf2005.pdf
eq. 1.35 p.8
This obviously gives the 10-parameter space you describe because the
entire 10-parameter Poincare group is locally gauged producing two
compensating gauge potentials B with 4 tangent fiber "u" components and
S with 6 tangent fiber components.
B = Budx^u = Bu^Idx^u/\&I
S = Sudx^u = Su^I^Jdx^u/\&I/\&J
Su^I^J = -Su^J^I
e' = e + S = 1 + B + S = local frame invariant extended subspace tetrad
field
We define the new connection with e', but use only e for the metric
tensor same as in 1915 GR.
Note that
B = Lpd(argphi)
"phi" is shown as the horizontal complex plane in the SSB Mexican Hat
Potential
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Kolb1/kolb1new_Page_27_jpg.htm
Lp^2 = hG/c^3
Obviously the subspace torsion 2-form is anholonomic where
S = Lp(dB + B/\B)
Note that
LpdB = Lp^2[(argphi)^,I,^J - (argphi)^J,^I]&I/\&J =/= 0
when there are phase jump "branch cuts" or anholonomic "singularities".
Note that &I is dual to dx^I, also I use "dx" loosely. In general we
have a non-coordinate basis.
"In the attachment you can see the abstract of my report, presented on the
Vigier session of
Seventh International Conference on
Computing Anticipatory Systems
Liège, Belgium, August 8-13, 2005
To be held at HEC - Ecole de Gestion de l'Université de Liège, 14 rue
Louvrex, B-4000 Liège, Belgium
Organized by the non-profit association CHAOS, Centre for Hyperincursion and
Anticipation in Ordered Systems,
asbl CHAOS, Institut de Mathématique, B37, Université de Liège, Grande
Traverse 12, B-4000 LIEGE 1, Belgium.
Tel. : + 32 (0)4 366 00 28 Fax: + 32 (0)4 366 94 89 E-mail:
Daniel.Dubois@ulg.ac.be
President: Daniel M. Dubois, HEC-Ecole de Gestion de l'Université de Liège
Vice-President : Professeur Adel F. Antippa, Physique, Université du Québec
à Trois-Rivières (Canada)"
----- Original Message -----
From: "Jack Sarfatti" <sarfatti@pacbell.net>
Sent: Sunday, August 14, 2005 10:40 AM
Subject: Does metric engineering require the torsion field? & Rocky's
videos!
One of Rocky Kolb's videos are now online and should not be missed.
He is as good as Feynman in delivery.
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Kolb1/default.htm
LOW POWER "flying saucer" (UFO) practical metric engineering the
fabric of spacetime for weightless goedesic warp drive and wormhole
star gate time travel to the past, future and elsewhere in this world
and in the other worlds of Super Cosmos seems to demand the kind of
dynamical torsion field suggested by the controversial
"? Why, Jack S.G."
I was alluding to "Konkretny's" attacks that have no real physics in
them. He represents the Russian "CISCOP" debunkers obviously. I do not
know the local politics in Moscow leading to his attacks which do not
hold up under close scrutiny.
Russian physicist Gennady Shipov. Einstein's 1915 General Relativity comes
from two things:
1. The local gauging of the rigid global 4-parameter Translation
Group T4 to the flexible local General Coordinate Transformation
Group Diff(4).
[Gennady Shipov].
"Localization of T(N) group produces the Ricci torsion of space
(Cartan, Hayashi, see attachment)"
You mean N = 10?
2. The non-trivial warp part B of the 1-form Einstein-Cartan tetrad
field e is proportional to the exterior derivative d of the Goldstone
phase Theta of a charge neutral vacuum Higgs condensate phi. This
holds for all internal "charges" U(1)xSU(2)xSU(3). This vacuum
cohering of all the random ZPFs of ALL quantum fields has the form
http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Kolb1/kolb1new_Page_27_jpg.htm
This non-trivial warp part B is the compensating gauge potential when
T4 ---> Diff(4)
Mathematically this is SIMPLY, in LOCAL FRAME INDEPENDENT INVARIANT FORM
e = 1 + B
B = Lpd(Theta)
All the physics is in the anholonomic non-integral "phase
singularities" (branch cuts for phase jumps 2pN, N = 0, +-1,
+-2 ....) of quantized nonlocal Bohm-Aharonov "flux without flux",
e.g. Abrikosov's Nobel Prize Lecture on the quantized magnetic vortex
lattice in a Type II superconductor. These branch cuts are in
physical space for the local single-valued order parameter and
correspond to non-trivial cohomology in the multiply-connected vacuum
manifold G/H where H is the normal subgroup of residual unbroken
vacuum symmetries. The dynamical global action A is invariant under
G, but the vacuum (or ground state) is only invariant under H.
"Flux without flux" here means, that in effect dB =/= 0 when the
measurements are confined to non-bounding cycles in the deRham
integrals for the observables of the theory.
Einstein's 1915 Geometrodynamic Field is BI-LINEAR in the tetrad
field e(x). In a LIF basis for B:
guv(x) = (1u^I + Bu^I)(Minkowski)IJ(1v^J + Bv^J)
As shown by Rovelli in "Quantum Gravity" Ch 2, 1u^I is the Kronecker
delta 4x4 identity matrix.
The Bianchi identities on the 4th rank tidal geodesic deviation
curvature tensor imply
Guv^;v = 0
Where ;v is the covariant partial derivative with respect to the ZERO
torsion Levi-Civita connection of 1915 GR.
However, metric engineering requires a VIOLATION OF THE ZERO TORSION
Bianchi identities in which
Guv^;v + /\zpf^,vguv = 0
Note that, Sean Carroll makes an error in his new book here. This
equation is covariant relative to the the ;u, but it does violate the
Bianchi identity.
That is
Guv,^;v = - /\zpf^,vguv =/= 0
Note that the Levi-Civita covariant derivative of the scalar /\zpf is
the ordinary partial derivative.
Shipov's torsion field S comes directly from locally gauging the
Lorentz group SO(1,3) as shown by both Utiyama and Kibble
independently in the 1960's!
Therefore, there is a new local gauge potential S in addition to B
e = 1 + B + S
B from T4 --> Diff(4)
S from SO(1,3) --> ?
The spin connection is no longer determined completely by B.
Obviously, the Bianchi identity is violated by terms ~ S, SB & S^2.
Those terms will determine /\^zpf^,v, which is zero in the FRW
cosmology model of dark energy.
<Descrtesian mechnics..pdf>
<T4.jpg>
<O(3.1).jpg>
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