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Rest mass of the electron from zero point fluctuations



 
 
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Old August 20th 03 posted to sci.physics.particle,sci.physics.relativity,sci.math,sci.astro,sci.skeptic
Jack Sarfatti
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Default Rest mass of the electron from zero point fluctuations

typo GRW should be FRW in earlier version

My non-analytic (as z - 0) non-perturbative BCS Nambu-Jona Lasino
inspired mass formula

m = (e/c)^2|/\zpf|^1/2 = (h/cLp)e^-1/z

Therefore, using Susskind's world hologram formula

(e^2/hc) (LpHo/c)^1/3 = e^-1/z

So that we can numerically compute z

z ~ -1/loge[(e^2/hc) (LpHo/c)^1/3] ~ - 1/loge[10^-63]

using data from both quantum gravity units and cosmology.

The final theory should have some kind of polynomial in z whose roots
determine the lepto-quark rest masses that go into QCD.

One uses QCD to get the hadronic rest masses that are mostly kinetic in
origin as in the "bag model" of "QCD Lite" (Frank Wilzcek, APS March &
April 2003)

What Haisch, Rueda and Puthoff talk about should only be a small
correction to this.

On Wednesday, August 20, 2003, at 01:55 PM, ISEP wrote:

reformatted & typo corrected

This is essentially the core of the talk I will give in Paris at the
International Vigier Conference at Pierre et Marie Universite to be
published by Kluwer Academic Publishers.

Timothy Ferris on C-Span LA TIMES Book Fair

“Seduction of Science”

Ferris is a good writer, though not a physicist, he has a good
understanding of the conventional wisdom in mainstream physics today.

John Archibald Wheeler asked at April 2003 APS in Philadelphia

"The Question is: What is The Question?"

Ferris describes the wrong question asked by all of the pundits in
modern precision cosmology, which is

"What are the exotic particles, perhaps from string theory, that form
the dark matter?"

This is an important issue because, as Ferris was quick to point out,
contrary to John Maddox's (NATURE) comment, inflationary cosmology is
an excellent theory since 3D space is now measured to be flat on the
large scale 10 megaparsecs and the black body cosmic microwave
background temperature variations ~ 10^-5 over the whole celestial
sphere with scale invariant Gaussian fluctuations are now, since WMAP,
measured with good accuracy and a precision ~ 2%.

Quantum field theory has both virtual and real particles. In simple
terms, real particles outside the physical vacuum obey the exterior
Heisenberg uncertainty principle that, for example, the product of the
momentum and position uncertainties is greater than a quantity
proportional to Planck's quantum of action. Similarly, for energy and
time, for action momentum and angle, for number and phase, electric and
magnetic fields, generalized to any pair of incompatible non-commuting
matrix observables in quantum bit space etc.

Virtual particles, on the contrary, are inside the vacuum, obeying the
interior Heisenberg uncertainty principle that the products of
uncertainties in conflicting measurements is smaller than the
corresponding action quantity for real particles.

There are two kinds of physical vacuum spacetime regions, exotic and
non-exotic. The non-exotic vacuum does not gravitate and it is close to
the common sense idea of a vacuum as classical empty of real particles
(including real photons forming radiation, and even giant quantum states
of virtual photons forming near fields like magnetic fields in MHD
plasmas, in pulsars etc.). The nonexotic vacuum on the large scale has
zero cosmological constant /\ = 0.

Gravity lensing, type 1a supernovae, WMAP et-al all show that the
physical vacuum on a large scale is only about 4% in terms of the
"Omega" of standard FRW cosmology from Einstein's theory of gravity. Our
expanding 3D space is accelerating rather than slowing down. This means,
from type 1s supernovae data, a /\ 0 that is an anti-gravity space
warp field with an Omega that is ~ 73%. Flat 3D space then requires a
dark matter component whose Omega is ~ 23%. The three main components
of the stuff of our local universe then adds up to 100% with ordinary
atoms and radiation in non-gravitating vacuum only ~ 4% of the universe.
Our "local universe" is what we can see in our telescopes in all regions
of the electromagnetic spectrum. That will include future gravity wave
and neutrino detectors as well. That is, our local universe the "past
light cone" in curved spacetime on the large scale. There are an
infinity of parallel universes outside our past light cone. Indeed, one
needs to use Cantor's theory of transfinite numbers with an infinity of
infinities as explained by Max Tegmark in several recent papers like May
2003 Scientific American on "Parallel Universes". These universes are
geometrodynamical in the sense of Wheeler's "IT" not the same as David
Deutsch's informational " BIT "multiverse" ("Fabric of Reality").

Wheeler says "IT FROM BIT" which requires delving into the alternative
meanings of quantum theory. I suggest Wheeler's idea is incomplete
needing also "BIT FROM IT" to get his Oroborus of the "universe as a
self-excited circuit".
http://www.metanexus.net/ultimate_reality/agenda.htm

Einstein's large-scale cosmological constant is really a limiting case
of the local complex scalar field responsible for inflation. The Dirac
electron vacuum dominates to a good approximation but it is unstable
from the exchange of a virtual photon between a virtual
electron-positron pair at the Fermi surface of zero energy with momentum
10^19Gev/c. The micro-quantum Dirac vacuum collapses to a macro-quantum
coherent vacuum of lower entropy. The local complex scalar field is the
vacuum polarization coherence. The coherence length is c/H(t) where the
Hubble parameter is H(t) = R(t),t/R(t) in the large scale limit of the
GRW metric including /\ =/= 0. This local complex numbered scalar field
PSI(x) has a Goldstone phase and a Higgs amplitude. Einstein's
geometrodynamic c-number field guv(x) of "superfluid" curved spacetime
is simply emergent from the modulation of the Goldstone phase according
to the IT FROM BIT Bohm pilot wave guidance equation

guv(x) = nuv + (1/2)Lp^2 (Goldstone phase(x)){,u,v}

, means ordinary partial derivative, { }means symmetrized
anti-commutator and [ ] means commutator, nuv is the globally flat
Minkowski metric tensor

Lp^2 = hG/c^3 consistent with black hole thermodynamics.

Torsion fields correspond to the non-integrable anholonomy

(Goldstone phase(x))[,u,v] =/= 0

Susskind's "world hologram" corresponds to using

Lp* = Lp^2/3(c/Ho)^1/3 ~ 1 fermi ~ 10^-13 cm rather than Lp ~ 10^-33 cm

The local exotic vacuum zero point energy fluctuation field is then

/\(x)zpf = Lp*^-2[1 - Lp*^3|Higgs Amplitude(x)|^2]

where /\(x) 0 is anti-gravitating "dark energy" exotic vacuum and
/\(x) 0 is gravitating "dark matter" exotic vacuum.

The zero point energy induced electron rest mass is

m~ (e^2/c^2)|/\zpf|^1/2

where |/\zpf |~ (1 fermi)^-2 ~ Lp*^-2 on the scale of 1 fermi with /\zpf
0 dark matter exotic vacuum core to prevent the explosion of the self
charge ~ e.

The string theory alpha' corresponds to this same value for /\zpf on the
microscale.

* Therefore, dark matter is not in the form of real exotic particles.
Dark matter ~ 23% of the stuff of our local universe is simply exotic
vacuum with positive zero point energy pressure. In contrast, dark
energy ~ 73% of our local universe is simply exotic vacuum with negative
zero point energy pressure that is equivalent to Kip Thorne's "exotic
matter" for traversable wormholes and Alcubierre timelike geodesic warp
drive vacuum propulsion when we learn how to locally metric engineer the
physical vacuum. Potential applications of this new physics are
described in Chapter Nine of Sir Martin Rees's "Our Final Hour".

Jack Sarfatti


PS Look at Max Tegmark's Parallel Universes in May 2003 Scientific
American for background.

Imagine a single Level 1 post inflationary bubble which (suppress 1
space dimension temporarily) is like an infinite flat rubber sheet
Euclidean plane that is not only stretching isotropically, but is
accelerating in its expansion rate. Our local universe is the interior
of an expanding circle on the plane. The radius of the circle is c/H(t).
The circumference of the circle is "singular" in the sense that the
vacuum coherence PSI = 0 on the circumference where the micro incoherent
-- macro quantum coherent vacuum inflationary phase transition
happened. That is, the circumference is analogous to a vortex line in
Type II superconductor with a lattice of vortex lines. Each vortex line
is analogous to a "local" Level I parallel universe.


On Wednesday, August 20, 2003, at 09:28 AM, ISEP wrote:

The strong force hadronic resonances lie on a set of parallel lines of
identical slope when spin J is plotted against square of mass m of the
resonance peak. Each line corresponds to a fixed assignment of strong,
weak and electric charge. The universality of the slope suggests strong
short-range gravity induced by the zero point fluctuations of all the
basic quantum fields.

In my theory, the basic data of string theory for the strong sub-nuclear
color force of SU(3) becomes simply

J ~ |/\zpf|^-1(mc/h)^2 = Lp*^2(mc/h)^2 = Lp^4/3(c/Ho)^2/3 = G*m^2/hc

(+ intercept depending on the charges)

where for the real electron (lepto-quark) on mass shell, for example, m
~ m(Planck)e^-1/z as in BCS theory. Ho is the large-scale cosmological
Hubble parameter for our particular local universe in the sense of
Tegmark's "Level 1" (May 2003 Scientific American)

0|e+e-|0 is the inflation complex scalar field.

z is a dimensionless measure of the binding of virtual electron-positron
pairs at the zero energy Fermi volume edge of the Dirac Sea vacuum with
momentum 10^19 Gev/c in the micro - macro quantum vacuum phase
transition that lowers the nonclassical entropy kick-starting the arrow
of time for emergent Einstein gravity with the unified dark
energy/matter field.

/\zpf = Lp*^-2[1 - Lp*^3|0|e+e-|0|^2] = -1/Lp*^2 in the dark matter
exotic vacuum core of the electron

That is,

1 - Lp*^3 |0|e+e-|0|^2 = -1 in that case.

The Hubble horizon of radius c/H(t) of our local universe section on the
large scale spatially flat expanding accelerating post-inflationary
"bubble" is analogous to the core of the superconducting vortex
singularity where the local macro-quantum coherent order parameter PSI
vanishes. That is where the micro - macro quantum vacuum phase
transition happened after all in which the non-classical entropy (log of
volume of phase space of the vacuum) is lowered to set the cosmic clock
for the irreversible "arrow of time" in which the initial singularity
big bang starts out with low entropy compared to the later universe.
This Hubble horizon where PSI = 0 is a 2D surface out of which our 3D
space of Einstein's curved 4D spacetime emerges like the projected
holographic image in Lenny Susskind's sense. That's why

Lp* = Lp^2/3(c/Ho)^1/3 ~ 1 fermi (10^-13 cm)

where Lp ~ 10^-33 cm and c/Ho ~ 10^28 cm

You can think of the infinity of Tegmark's Level I parallel universes on
a single post-inflationary bubble as a kind of type II superconductor
lattice of vortices. Each vortex line maps to a Hubble horizon. Then
there are, in the chaotic inflationary model of Tegmark's Level II, an
infinity of such bubbles floating in hyperspace (in Kip Thorne's sense)
like a glass of champagne (brewed by Rashi de Troyes 1000 years ago ;-))
These are not the QUBIT parallel worlds of David Deutsch's "multiverse".
The QUBIT multiverse is a landscape for the ensemble of IT system points
of geometrodynamic post-inflationary bubbles to roll on like in

vs = (h/m)Grad(arg psi) in deBroglie-Bohm-Vigier theory in 3D, which for
4D geometrodynamics becomes

du = Lp*^2 argPSI,u

,u is the ordinary partial derivative of the Goldstone phase argPSI, u =
0,1,2,3

PSI = 0|e+e-|o is the inflation complex scalar field

|PSI| = Higgs field.

du = Hagen Kleinert's "world crystal lattice" distortion field in which
curvature and torsion are disclination and dislocation defect densities
as shown for ordinary crystals by Bullough, Bilby et-al at Harwell AERE
Theoretical Physics Division in studies of breakdown of nuclear reactor
control rods. I was at Harwell in that division in the summer of 1966
after spending time at Heisenberg's Max Planck Institute in Munich at a
Wheeler seminar.

http://qedcorp.com/APS/Vigier4.pdf



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