Remember the key to the practical low-power metric engineering of Warp &
Wormhole using dark zero point energy is the simple "Josephson" type
equation
/\zpf ~ (coherence length of Vacuum ODLRO)^-1(coherence length of ANYON
ODLRO)^-1cos(Vacuum Phase - Anyon Phase)
/\zpf > 0 is universally repulsive anti-gravity negative exotic vacuum
pressure
/\zpf < 0 is universally attractive gravitating positive exotic vacuum
pressure
where
Guv + /\zpfguv = 0 is Einstein's field equation for exotic vacuum (both
dark energy and dark matter)
Gennady Shipov's torsion field permits
/\zpf^,v =/= 0
in order than
Guv^;v = - /\zpf^,vguv =/= 0
a necessary condition for weightless warp drive and for the manufacture
of traversable wormhole star gates for instant space and time travel.
Note to go back in time you need to find a wormhole that already existed
in the past you want to go back to. If you do go back you create an Igor
Novikov globally self-consistent time loop locked into the "Destiny Matrix."
Bohm & Hiley's "The Undivided Universe" has a similar idea to the notion
of "emergence" below in the non-mechanical contextual form-dependence of
the fragile soft micro-quantum potential with signal locality. However,
they do not have macro-quantum ODLRO explicit there where the quantum
potential for the local order parameter stiffens.
The stiff macro-quantum local order parameter PSI(x) in the Galilean
relativity static limit is for an on-mass-shell condensate
Q(x) ~ PSI(x)|^-1(h^2/2m)(Grad)^2|PSI(x)|
This Q(x) is immune to environmental decoherence and allows signal
nonlocality.
The Schrodinger equation is replaced by the macro-quantum LOCAL "mean
field" L-G equation (without normal micro-quantum noise coupling in zero
order approximation)
ihPSI,t = -(h^2/2m)(GradPSI)^2 + VclassicalPSI + b|Psi|^2Psi
The "BCS" state in second-quantized Fock space
PSIk ~ <0|uk + vkak|0> is replaced by a macro-quantum squeezed Glauber
coherent state
PSI ~ e^(s*a*a* - saa)e^(z*a* - za)|0>
[a.a*] = 1
for bosons
This generalizes for 2D high Tc films of anyon condensates with fractal
parastatistics (e.g. fractional Quantum Hall Effect)
i.e. PSI changes by e^i2pi(p/q) in a closed loop about a topological
defect of the ODLRO parameter in 3D space, with p & q integers.
Note for bosons q = 1
For fermions p = (2n + 1), q = 2, n = 0, +-1, +- 2 ....
[a,a*] ~ e^i2pi(p/q)
Excerpts from http://www.europhysicsnews.com/full/20/article4/article4.html
Europhysics News (2003) Vol. 34 No. 2
Complexity; a science at 30
Sorin Solomon and Eran Shir
Racah Institute of Physics, Hebrew University of Jerusalem
The scope of Complexity
Long after the discovery of atoms and molecules it was still customary
in science to think about a collection of many similar objects in terms
of some "representative individual" endowed with the sum, or average of
their individual properties. With the exception of particles physics and
condensed matter theory where renormalisation group effects were fully
recognised, scientists in various disciplines continued their research
within the "mean field" framework.
In fact, one may argue that this "mean field" / continuum / linear
way of thinking is what conserved the classical sciences as independent
sub-cultures. Indeed, the great conceptual jumps separating the various
sciences and the accompanying paradoxes connected to the nature of life,
intelligence, culture arise exactly from the failure of these
assumptions. When "More Is Different" life emerges from chemistry,
chemistry from physics, conscience from life, social conscience/
organisation from individual conscience etc. (The title of the present
article associates the beginnings of complexity with the article "More
Is Different" published 30 years ago by Phil Anderson [1]).
This study of the emergence of new collective properties
qualitatively different from the properties of the "elementary"
components of the system breaks the traditional boundaries between
sciences: the "elementary" objects belong to one science—say
chemistry—while the collective emergent objects to another one—say
biology. As for the methods, they fall "in between": in the
"interdisciplinary space". The ambitious challenge of the Complexity
research (its "manifest destiny") is prospecting, mapping, colonising
and developing this "interdisciplinary" territory [2]. For a visual
impression of the fields and subjects involved in the synthesis that
complexity tries to achieve see Fig. 1.
Fig 1 Map of Complexity and its Neighbouring Fields (for a more detailed
interactive version see http://complexity.cogniview.com/MapIndex.html )
Theoretical and phenomenological origins of complexity
Many of the crucial ingredients of Complexity appeared in the context of
theoretical physics. In fact Anderson listed as his preferred examples
phenomena which take place in physical systems: superconductivity,
superfluidity, condensation of nucleons in nuclei, neutron stars, glasses.
He emphasised that in spite of the fact that microscopic
interactions in the above phenomena are very different they can be all
explained as realisations of a single dynamical concept: Spontaneous
Symmetry Breaking.
....
This research is partially funded by the Israeli Science Foundation.
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Copyright EPS and EDP Sciences, 2003
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