Absolute Rest? Who ordered that?
From: Jack Sarfatti (sarfatti_at_pacbell.net)
Date: 02/04/05
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Date: Fri, 04 Feb 2005 01:22:37 GMT
On Feb 3, 2005, at 4:12 PM, art wagner wrote:
You mean, I had a good idea......?
No, I mean I had a good idea!
From: Jack Sarfatti <sarfatti@pacbell.net>
To: "art wagner" <wagnerart@hotmail.com>
CC: garysbekkum@hotmail.com, fsphys@rogers.com, puthoff@aol.com
Subject: Re: Cahill's Foam & C=8
Date: Thu, 3 Feb 2005 15:41:23 -0800
On Feb 3, 2005, at 2:09 PM, art wagner wrote:
Could it be that Cahill's Foam
(http://lanl.arxiv.org/PS_cache/gr-qc/pdf/0009/0009023.pdf) probability
factor (p) for dimensions corresponding to d=8 is connected to
"something else" (perhaps...um, Anthropic?) which would constrain the
Clifford space C=8 situation
(http://xxx.lanl.gov/PS_cache/hep-th/pdf/0501/0501222.pdf) ? 'Just
t.s.a.w. here to see if anything sticks .......
NO MORE COULD IT BE. I NOW UNDERSTAND IT ALL!
Memorandum For The Record
The Devil's Sonata
http://inkpot.com/classical/tartidevilson.html
(Note on Russian torsion WMD R&D at end of this report.)
Think of the x-t 1 + 1 space-time plane, the broken boost symmetry
selects a particular basis in a finite region of spacetime like the
ferromagnetism coherent over a finite domain of the metal.
General reference "A Career in Theoretical Physics" by PW Anderson
(World Scientific) on "More is different" emergence from spontaneous
broken symmetries of the vacuum for virtual particles and the ground
state for real particles.
Spontaneous broken vacuum (ground state) symmetry = PREFERRED FRAME
(always! - different kinds of "frames" of course.
Also Roger Penrose "The Road to Reality" note the distinction between an
affine space and a vector space is that the latter has a preferred
origin and the former does not. We normally think of Lorentz covariance
as an affine space, however, if Cahill, and apparently others, are
correct it's a simple transition from affine to vector space picture -
no fundamental modification in the basic dynamics of either special
relativity or general relativity or quantum field theory is needed IF,
e.g. Cahill's discussion of the Michelson-Morley data is correct.
First think of the U(1) local gauge theory of Maxwell's electromagnetic
field in micro-quantum mechanics. The electron pilot wave is a
projective ray, i.e. its amplitude has no direct meaning, only its phase
is important in the complex plane! This is essential to SIGNAL LOCALITY
depending, as Antony Valentini showed, i.e. need Born probability
interpretation, i.e. equilibrium of hidden variables.
OK as Frank Wilczek shows in detail, think of a plane of one-handed
clocks. If you want the hand of each clock to be set independently and
keep the dynamical action invariant, you can do that by introducing the
compensating 4-potential Au (AKA A 1-form) whose Lorentz covariant Curl
is the Maxwell EM field Fuv (AKA F 2-form). You get all 4 Maxwell
equations using Cartan's forms from "Boundary of a boundary is zero"
(John Wheeler), i.e.
A is a 1-form
F = dA
d = topological Cartan exterior derivative
dF = 0 --> NO MAGNETIC MONOPOLES + Faraday's law of induction for
electric motors etc.
Take Hodge dual F -> *F i.e. E to D, B to H (or other way? I forget -
see Arnold Sommerfeld "Electrodynamics")
d*F = J --> Ampere's law + Gauss's law
So one sees a strong topological argument for absence of FREE MAGNETIC
MONOPOLES
So this gives quantum electrodynamics with a massless photon from local
gauge invariance. The Schrodinger eq (or Dirac) is linear, nonlocal for
many electrons and unitary in time evolution.
MACRO-quantum theory for say bound real electron pairs is very
different! The pilot wave is no longer a projective ray. The Higgs
amplitude has meaning as the square root of the Bose-Einstein condensate
density. The Goldstone phase is "rigid" - there is no fragile collapse,
we have immunity from warm wet (brain) or, generally, environmental
decoherence. There is no ensemble based Born probability. The
MACRO-quantum Landau-Ginzburg equation is not unitary and it is local
and nonlinear - "presponse" signal nonlocality is not excluded!
So what happens now is a PREFERRED FRAME! That is the clock hands line
up in a pattern like the magnetic moments in a single domain of a
ferromagnet! The preferred frame is the orientation of the macro-quantum
order parameter in ordinary space in this example. The physics equations
are still rotationally invariant, but the ground state is not. This is a
UBIQUITOUS PATTERN in COMPLEX PHENOMENA studied in SOFT CONDENSED MATTER
PHYSICS! For a superfluid frictionless flow the phases are in momentum
space. In the case of the superconductor, the broken U(1) symmetry means
that the photon inside the superconductor has a rest mass. This is the
Higgs mechanism in high energy physics for the SU(2) radioactivity group
of the weak force, and it is the expulsion of magnetic flux (Meissner
effect) for a bulk Type I superconductor, or a lattice of vortices with
quantized magnetic fluxes in a Type II superconductor depending on ratio
of Compton wavelength of the massive photon to a coherence length of the
Giant Tsunami Ground State (or Vacuum) Wave!
SAME IDEA FOR CAHIL'S MEASUREMENTS
U(1) symmetry is x^2 + y^2 = 1 as the invariant i.e.
x'^2 + y'^2 = x^2 + y^2 = 1
Where U(1) maps (x,y) to (x',y')
The U(1) phase parameter is theta - a rotation in the Euclidean plane.
OK do the Wick rotation y = ict
the 1 + 1 Little Lorentz group is
O(1,1) i.e.
x^2 - c^2t^2 = x'^2 - c^2t'^2
i.e. x-t rotations in the hyperbolic plane
See Penrose "The Road to Reality" for details.
The new "theta" is called the "rapidity".
Instead of cosine and sin trig functions of angle for U(1) = O(2) we
have the sinh and cosh functions of rapidity.
x' = cosh(rapidity)x + sinh(rapidity)(ct)
ct' = sinh(rapidity)x + cosh(rapidity)(ct)
cosh^2 - sinh^2 = 1
instead of cos^2 + sin^2 = 1
x' = (1 - (v/c)^2)^-1/2[x + ct]
ct' = (1 - (v/c)^2)^-1/2[ct + vx/c]
So think of the x - t spacetime plane (do only simple case for easy
visualization)
The broken Lorentz-boost symmetry selects out a preferred frame exactly
analogous to the magnetization of the ferromagnet in a FINITE DOMAIN.
This is WHY the LOCAL DOMAIN measured absolute velocity is NOT identical
to the velocity of Earth relative to cosmic Hubble flow - that comes
from breaking the T4 group.
Note that the macro-quantum vacuum order parameter for breaking the
3-parameter Lorentz boosts should live in the S2 order parameter factor
space G/H giving point-defects (Hedgehogs - David Thouless) which we
observe in the Pioneer 10 & 11 anomaly, i.e. a CONSTANT radial gravity tug
a_g = - cH(t) = 10^-7 cm/sec^2 directed back to Sun starting at a
spherical boundary at 20 AU from Sun.
That is, there appears to be a correlation of Cahill's local absolute
velocity of Earth relative to preferred frame and the local (20 AU is
not cosmic scale) Pioneer anomaly although H(t) is the Hubble parameter
H(t) = R(t)^-1dR(t)/dt
R(t) is dimensionless scale of 3D FLAT space of FLRW cosmological metric
consistent with inflation but with anti-gravity dark energy = zero point
fluctuation vacuum energy ~ 10^-7 ergs/cm^3 from negative vacuum
micro-quantum pressure, w = -1.
10^-7 ergs/cm^3 ~ (H(t)/c)^2(c^4/8piG) = /\(c^4/8piG) ~
(10^28cm)^-2(SuperString Tension)
/\ = Einstein Cosmological Constant
Super String Tension = 10^19 Gev per 10^-33 cm
/\ = Lp^-2[1 - Lp^2|Higgs|^2] in FLRW large-scale limit
Using t'Hooft-Susskind world hologram normalization of Higgs field
(Wilczek cosmic superconductor AKA partial vacuum coherence).
Entropy of universe from De Sitter Local Horizon "screen of world
hologram" is via Bekenstein-Hawking radiation formula
S(Universe)/kB = (1/4Lp^2)(c/H(t))^2 = 10^122 c-bits
Think of the x-t plane, the broken boost symmetry selects a particular
basis in a finite region of spacetime like the ferromagnetism coherent
over a finite domain of the metal.
On Feb 2, 2005, at 5:46 PM, art wagner wrote:
Jack, I've been scouring about and found these:
(http://xxx.lanl.gov/PS_cache/physics/pdf/0410/0410245.pdf) and
(http://xxx.lanl.gov/ftp/physics/papers/0501/0501060.pdf) - which are
at least interesting and possibly quite important in the MM/Cahill
mechuga......
Yes, they both look interesting thanks.
On Feb 3, 2005, at 10:45 AM, Jack Sarfatti wrote:
I had a big breakthrough on preferred frames. More in next few days.
It's simply tried and true battle-tested local gauge invariance +
spontaneous symmetry breakdown in the vacuum. If Cahill's MM data is
correct then it's spontaneous breakdown of Lorentz boost symmetry and he
would be correct it is different from the speed of Earth relative to
Hubble flow. It ties in with Pioneer anomaly because the 3 Lorentz
boosts seem to give the S^2 order parameter space needed to explain the
hedgehog topological defect in the Pioneer anomaly i.e. uniform radial
gradient a_g = -cH back to Sun between two concentric spherical
boundaries, first at 20AU. The exotic vacuum is /\zpf ~ 1/r between
the two spherical boundaries. Wilzcek's cosmic superconductor field (AKA
my partial macro-quantum vacuum coherence has a point defect at center
of Sun - probably ALL stars do. This is very tentative of course.
The math is pretty, i.e. the Ricci rotation coefficients Aa^bc play a
key role (e.g. Brazilian paper).
Aa^bu = eu^cAa^bc
eu^a = T4 tetrad
eu^a = (Kronecker Delta)u^a + Bu^a
Bu = Bu^aPa
Pa is mom-energy generator of T4 translation group
All this is pre-torsion field i.e. O(1,3) not locally gauged yet.
It's the T4 tetrad that provides the local "phase" invariance for
tangent fiber O(1,4) that is spontaneously broken IF Cahill's
interpretation of MM data is correct. This has nothing to do with his
flow theory BTW.
Think of little group O(1,1) in analogy to U(1) where rapidity of
rotation in z-t plane is like the U(1) phase angle in Maxwell theory.
Then look at Frank Wilczek's explanation of Higgs effect - basically
same story. See Jan 20 Nature I think. It's all standard stuff only the
group is different. It's all PW Anderson's "More is different".
The vacuum solution need not have the full symmetry group of the
dynamical action. This is well known for the internal weak gauge force,
for superfluids, for ferromagnets and all sorts of complex systems in
soft condensed matter physics. Here it's same story for boost part of
local Lorentz group. Very simple really.
I have to go to Dentist. More anon.
On Feb 2, 2005, at 5:46 PM, art wagner wrote:
Jack, I've been scouring about and found these:
(http://xxx.lanl.gov/PS_cache/physics/pdf/0410/0410245.pdf) and
(http://xxx.lanl.gov/ftp/physics/papers/0501/0501060.pdf) - which are
at least interesting and possibly quite important in the MM/Cahill
mechuga......
On Feb 2, 2005, at 6:50 PM, Tony Smith wrote:
Jack, you say that "Cahill says there is an ABSOLUTE v = 0,
a preferred frame of absolute rest.".
Although I disagree with Cahill based on his failure to consider
that the refractive index n of a gas is changed when the gas
is subjected to Fitzgerald-Lorentz contraction (as I said earlier),
I do NOT find fault with the existence of a preferred frame.
I need to think about that. In any case e.g. Cahill's eq 2 p. 4, the
fringr shift for absolute velocity relative to the preferred frame using
Lorentz transformations is ~ n(n^2 - 1) this should be tested for
variable n = index of refraction of the gas placed inside the MM
interferometer arms. For an atomic Bose-Einstein condensate you can get
n ~ 10^7 and I suppose tune it over many powers of ten. Such an
experiment should be considered - very fundamental.
One reason that I like such a preferred frame is that it makes
the Deutsch formulation of Many-Worlds work well.
I don't know that stuff.
Another reason is that it seems physically reasonable that
the common origin of everything in our universe in the Big Bang
would lead to such a preferred frame.
Bohm likes a preferred frame where the quantum potential acts instantly.
He suggests Hubble flow. Volovik starts with a Galilean relativity
substratum and gets Lorentz symmetry emergent for quasiparticles and
collective modes at a fixed point in a renormalization group flow.
That is Galilean -> Lorentz-Poincare -> General Relativity
as a sequence of EMERGENT symmetries in sense "More is different" "soft
condensed matter physics".
For instance, it can be useful to think of cosmic background
radiation as providing a kind of preferred frame.
Yes. Operationally it is. You cannot argue with experiments!
A beautiful theory is slain by an ugly fact.
The Hubble flow is the preferred global frame in which the CBR is
maximally isotropic.
But this is a property of general relativity in the large-scale in the
homogeneous isotropic FLRW metric of precision cosmology.
Now this is from the spontaneous breakdown of T4 translational symmetry
giving the non-trivial nonholonomic Cartan tetrads
eu^a = (Kronecker Delta)u^a + Bu^a (dimensionless)
u is in the curved base space-time
Bu^a = locally gauged T4 anholonomic tetrad "gauge potential"
Bu = Bu^aPa/h
{Pa} is the mom-energy Lie algebra of globally flat T4.
Bu = (Macro-Quantum Goldstone Phase),u
[Bu] = 1/(Length)
guv(LNIF) = (Minkowski)uv + (Lp^2/2)[Bu,v + Bv,u] = eu^aev^bgab(LIF)
Lp^2 = hG/c^3
Wilzcek cosmic super-conducting vacuum field = |Higgs|e^i(Goldstone Phase)
e.g. Nature Jan 20, 2005
AKA partial vacuum coherence local order parameter from spontaneous
broken vacuum symmetry
a is in the quasi-flat tangent space i.e.
goo(LIF at P') ~ -1 - R0a0b(P)(P'-P)^a(P'-P)^b
2V(Newton at P)/c^2 ~ R0a0b(P)(P'-P)^a(P'-P)^b
V(Newton at P) = gravity potential energy per unit test particle mass
In exotic vacuum w = -1 dark energy or dark matter (that mimics w = 0 at
a distance)
2V(Newton)/c^2 replaced by /\zpfr^2
r = Schwarzschild radial coordinate
/\zpf is local micro-quantum zero point fluctuation vacuum curvature
scalar field that in FLRW large-scale limits to Einstein cosmological
constant
Guv + /\zpfguv = 0 in exotic vacuum
Rcadb = Riemann curvature tensor in the LIF (Local Inertial Frame)
The gravimagnetic field for Lense-Thirring frame drag and Ray Chiao's
"gravity radio" is
goc'(LIF at P') ~ - (2/3)R0abc'(P)(P'-P)^a(P'-P)^b
c' = 1,2,3
gc'd'(LIF at P') ~ (Kronecker Delta)c'd' - (1/3)Rc'ad'b(P'-P)^a(P'-P)^b
a,b = 0,1,2,3
c'd' = 1,2,3
PS - Jack, my Pioneer web page can be found at
http://www.valdostamuseum.org/hamsmith/SegalConf3.html#univunisgbd
Gennady Shipov's torsion theory is locally gauged Lorentz group O(1,3)
in addition to translation group T4.
Note the Ricci rotation cofficients
Aa^bc in tangent space are not independent fields in torsion-free 1916 GR
Of course
Au^bc = eu^aAab^c
is locally variable from the T4 local gauge symmetry with Bu^a
compensating field in tetrad eu^a.
Note the TORSION compensating field would be
Tu = Tu^bcSab
Where {Sab} is the Lie algebra of O(1,3)
i.e.
Replace the Ricci coefficients A of 1916 GR by
A*u^bc = Au^bc(Einstein) + Tu^bc(Shipov)
Note only the second term on RHS has independent dynamical degrees of
freedom.
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