| Topic: |
Science > Physics |
| User: |
"Jack Sarfatti" |
| Date: |
08 Oct 2005 01:39:00 PM |
| Object: |
Lecture 9 on Alien ET Weapons Super-Technology |
books by Jack Sarfatti at http://stardrive.org
Moderated discussions at
http://stardrive.org
Here is where we separate the Men from the Boys,
the Flakes from the Real Ones
Only The Best & The Brightest need apply.
This is for the Elite Cadres only.
On Oct 8, 2005, at 9:55 AM, Jack Sarfatti wrote:
Star Gate
Warp Drive, Wormholes & Time Travel
(a technical book under construction)
Lectures in 21st Century Physics
Lecture 9
"One magnetic monopole charge somewhere in the universe is enough to
ensure that all the electric charges are multiples of h/m." Thouless, p. 17
Modern chaotic inflation cosmology does seem to have only one magnetic
monopole per inflation to Big Bang in Max Tegmark's Level 1 "Hubble
horizon" expanding universe.
Yang had an alternative "compact gauge group" Ansatz to above magnetic
monopole hypothesis for quantization of electric charge. That is
basically single-valuedness of the micro-quantum amplitudes and the
macro-quantum order parameters when charges are moved around closed
loops. This is "Flux without flux."
The kind of experiment I allude to in
/\zpf(x) ~ chi(Vacuum ODLRO Length)^-1(Anyon ODLRO Length)^-1
cos(2pi('&'2|(e/h)A(x))
chi = phase-lock efficiency 1 is max, 0 is no-go
Guv(x) + /\zpf(x)guv(x) = 0 is metric engineering equation for WWD
has a real predecessor
"experiment by Chambers, who inserted a magnetized iron whisker between
the slits of a two-slit electron diffraction experiment. The whisker was
tapered, so that the flux trapped varied smoothly along the length of
the whisker. ... Change of magnetic flux PHI through the whisker changes
the vector potential in the region of the slits, so that"
('&'2|A) = (2|'d'A) = &PHI =/= 0
"and in accordance with (2.9)" Gauge Phase factor ~ e^i(e/h)('&'2|A) in
electron loop Feynman amplitude "the diffraction pattern is unshifted if
the change of flux &PHI is an integer multiple of h/e, but is shifted if
it is not an integer multiple." Thouless p. 20
It's the same idea in metric engineering of WWD (Weightless Warp Drive
of Alcubierre type AKA "Acceleration Field" (Paul Hill), "G-Engine"
(George Trimble), "Geodesic Glider" (Jack Sarfatti)) where
Guv(x) + /\zpf(x)guv(x) = 0
/\zpf(x) ~ (Area)^-1cos2pi(&PHI(x)/(h/e))
/\zpf(x) > 0 is negative pressure blue shift universal repulsion (peak
above plane in fig)
/\zpf(x) < 0 is positive pressure red shift universal attraction (peak
below plane in fig)
Effective ZPE induced G* >> G(Newton) on nano-scale.
Note that
G*h/c^3 ~ Area in above formula >> Planck Area
Area is geometric mean of area quanta of the Vacuum ODLRO with the Anyon
ODLRO fields.
Coherence length ~ Scale of wave packet of effective boson forming the
condensate macro-quantum field.
(Area)^1/2 = mean distance between boson wave packets - controlled in
Anyon film.
The centers of mass of the boson wave packets are all phase-locked to
each other like Alexander's Phalanx.
Lecture 8
Dirac String, Magnetic Monopole, Quantization of Electric Charge
"the quasiparticles of the fractional quantum Hall effect, which are not
basic but rather emerge as collective excitations involving ordinary
electrons, also cannot exist in isolation, and they have fractional
charge and anomalous statistics!" Frank Wilczek Nobel Lecture
Unlike classical EM the vector potential A determines quantum behavior
of the electron as in the Bohm-Aharonov effect. The loop integral
('&'2|A) =/=0 determined by topological defects makes a visible shift in
where the single electron is detected in space even though dA = 0 at any
classical position of the electron. Furthermore, "we have to introduce a
semi-infinite string along which the vector potential is singular"
(Thouless p. 18) Similarly in superfluids and superconductors "there are
also strings along which the phase is singular, but these are physical
singularities, quantized vortex cores. In Dirac's theory, on the
contrary, the string is mathematical ... whose path is arbitrary so long
as the flux it carries is a multiple of h/e." (Thouless)
"Multi-valued gauge transformations" (H. Kleinert)
e.g.
Ahypercharge = (hc/e)Lp 'd'argPSIU(1)
B = Lp'd'argPSISU(2)weak
are multi-valued i.e. 'd' because of some topological defect like the
Dirac string.
Note that the ordinary gauge transformation stays inside the same
homotopy class of the manifold i.e.
A -> A' = A + df
using d in a single-valued sector of the bundle of homotopically
equivalent string paths through the manifold.
Magnetic monopoles attached to end of Dirac string formulation of A ~
'd'argPSI.
Dirac's solutions
A = k'd'argPSI = -(u*/4pir)cot(theta/2)
with theta phase singularity on half-line polar angle theta = 0 from
origin to infinity in flat 3D space in spherical polar coordinates. Note
that on large scale in inflation cosmology 3D space is flat.
Require ('&'2|A) = (2|'d'A) invariant under change of position of Dirac
string. The Feynman micro-quantum amplitudes, even when no macro-quantum
vacuum condensate, must be well-behaved, i.e. single-valued (at least in
4pi sense for spinors) implies
eu* = nh
u* is the magnetic monopole charge
e is the electron charge
h/e is the quantum of magnetic flux in
/\zpf(x) ~ chi(Vacuum ODLRO Length)^-1(Anyon ODLRO Length)^-1
cos(2pi('&'2|(e/h)A(x))
chi = phase-lock efficiency 1 is max, 0 is no-go
Guv(x) + /\zpf(x)guv(x)=0 is metric engineering equation for WWD
.
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