A
crude collection of loose notes and links extending theoretic
consideration of kite single-unit oscillation to kite lattice
oscillations, toward formalizing GW-scale AWES concepts-
------------------------
AWES
lattice-wave theory is proposing that kite "rag and string" is a
real-world case of "peculiar anyonic statistics of edge excitations in
quantum information processing devices that are topologically protected
from decoherence"*.
The
anyonic kite-stuff interpretation is fertile, explaining many effects
and suggesting solutions; for example, the short service life of a
flogging sail can be modeled as a violently uncontrolled flux of
anyonic creases and moving edge-concentrations. The apparent solution
is to avoid flogging by jibing fabric sails in high-duty crosswind
cycles, rather than tacking them. The "quantum information processing"
part is quantum-analog passive control theory as the best
theory-of-operation. "Topological protection" is the redundant
many-connected structure of mathematical crystal lattice groups, with
reduced kite breakaway statistics.
*
Iiacopo Carusotto "...is it possible to take advantage of the peculiar
anyonic statistics of edge excitations in quantum information
processing devices that are topologically protected from decoherence?
Nobody knows yet..."
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The
origin of SuperLattice physics by Hans Bethe in 1935, whose general
features match kite lattice design and dynamics. Our superlattices
consist of lifters, power-wings, and drogues with long-range order
evident-
--------------------
A
megascale source of lattice wave models is modern Seismology. A virtual
FEA lattice is imposed on the geological space to analyse seismic
energy propagation, and reanalysis of this lattice model can inform
theoretic AWES lattices at realistic characteristic scale, rather than
over-depending on meso- and microscopic crystal models for a case-base-
--------------------
Adopting
lattice-wave kite farm mechanics greatly linearizes the problematic
quasi-gaseous farm mechanics of close-spacing single-line-kite farm
units. Heretofore, designers had to settle for lower control
reliability and sparse unit spacing, with far lower power density by
land area and reserved airspace, which are critical real-world metrics.
Application
of Gabor Atoms, Wave Atoms, and the like, is just current
state-of-the-art of harmonic mathematical functions and their
ontological interpretations.
This paper nicely presents a wavelet basis for estimating aircraft aeroelastic dynamics-
WikiP- "
Gabor (in 1946) applied ideas from quantum physics to sound, allowing an analogy between sound and quanta. "
I
finally found where [Gabor 1946] stated his time-frequency
representation (TFR) as following QM "rather closely", including
"...replacing Planck's Constant h with unity...", which is precisely what I had been proposing for the last two years in my kite theoretic circles.
We
impose "analogy" to distinguish between atomic-scale QM defined by
Planck's Constant, and the exact same statistical mechanics applied at
macroscopic scale to our kite phonons, where we define our own Plank
Units based on our domain's characteristic length scale and
frequencies. To define our new constant in its most basic form applies
the vertical atmospheric ("wind column") as the first-order fundamental
limiting dimension.
A
logical ad hoc scale unit for current AWES is the wind-harvesting unit
cell that fits below FAA designated 2000ft ceiling, allowing our
lattice units to sprawl horizontally to planetary dimensions, and
letting the vertical limit range toward 10km high (~tropopause), as
NextGen airspace gradually opens up.
Sample citation of wavelet analysis entering mainstream aeroelastic science-
WAVELET ANALYSIS TO CHARACTERISE
NON-LINEARITIES AND PREDICT LIMIT CYCLES OF
AN AEROELASTIC SYSTEM
RICK LIND, KYLE SNYDER AND MARTY BRENNER
NASA Dryden Flight Research Center
-----------------
Wave Atoms and Sparsity of Oscillatory Patterns
Laurent Demanet† and Lexing Ying‡
† Department of Mathematics, Stanford University, Stanford CA94305
‡ Department of Mathematics, University of Texas at Austin, Austin, TX 78712
June 2006, revised February 2007
Another view of Planck's Constant as fundamentally misinterpreted-
--------------------------
We
have gradually learned to formally interpret a kite airframe's complex
inherent motions in a noisy wind field, with wake interactions as
additional variables, in varied parametrical forms, as only marginally
computable, but that combine as bulk constructive (promoting
oscillation) or destructive (damping oscillation) forces.
Like
any other quasi-discrete physical object, since long before Newton, the
kite's rag-string-stick mass intuitively model as a wavelet-based (TFR)
Gabor Atom or Wave Atom packet. The kite dances by internal and
external parameters of a unified oscillating and standing wave field.
Particle-wave duality is evident, but like some famous visual
illusions, our attention flips back and forth between
interpretations.
External
parametric influences on a flying kite-qua-particle define its
Pilot-Wave field, showing flight to have a strong non-local causal
basis, but still within classical principles. Besides common wind field
turbulence streaming past the kite, the kite's wake also strongly
determines the flight trajectory, as a form of "memory" in the
pilot-wave field. The kite tether is also part of the pilot wave
structure. In fact, real-world pilot waves come in complex packets.
DeBroglie's 2-wave equations were just a first step to building on
Schrodinger.
By
ongoing study, we are narrowing-in on just what physics equations best
model the the kite as a hydrodynamic quantum analog; in particular
Madelung's recasting of Schrodinger's Equation into Euler's
hydrodynamic form and De Broglie's deterministic Pilot-Wave
interpretation of QM. DeBroglie's scheme is a double pilot-wave. In the
kite case, the kite is expressed as the original Schrodinger wave
function, then DeBroglie mixes his realist pilot-wave in where the
nihilist Copenhagen school only offers a probability function. Both
views are mathematically consistent, but the pilot wave interpretation
opens the door wider to new engineering-science, including megascale
quantum-analog kite lattices.
--------------------
Information equals thermodynamics in Information Theory, as posed by [Shannon 1948]
"In order to obtain the maximum power transfer from a generator to a load
a transformer must in general be introduced so that the generator as seen
from the load has the load resistance. The situation here is roughly analogous.
The transducer which does the encoding should match the source
to the channel in a statistical sense. The source as seen from the channel
through the transducer should have the same statistical structure as the
source which maximizes the entropy in the channel."
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Modern
mathematics stands revealed as a set of partially isolated languages,
where many things can be said, but not necessarily understood across
the many dialects. We pick and choose our tools for the AWES
architecture at hand, using normalization to match them up (Ostrogradsky
Hamiltonians anyone?). The problem is to start from correct-enough
engineering-design assumptions, or the math is GIGO. Lattice Wave
oscillation dynamics of dense kite arrays is presented as a better
starting assumption than sparse single-line/single-anchor AWES units,
as has been the common assumption. A statistical-mechanics mathematical
basis emerges from the lattice assumption.
-------------
A
new kind of giant disc wing was recently proposed by kPower for AWES
iso-lattice, already constructable to the giant scale of conventional
megascale decelerators [US Military, NASA, etc.], but constrained by a
pattern of risers and fabric ribs into a thin flat (planar) geometry,
for high L/D sweeping crosswind semi-chaotically at high velocity,
developing high power. Ordered motion would be imposed by a second set
of bridle lines radiating in-plane from the disc, to both tap the power
and provide control actuation. Large cross-linked lattices of such
wings could semi-passively self-synchronize for naturally coherent
high-Q output.