Topic Quantum Materials and AWE?
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May 26, 2020, post by Dave Santos Fundamental Modes of Cylindric-Disc Kite-Matter Metamaterial Heuristically, a major class of ideal large kite lattice will be a circular thickened expanse, a disc-like flattened cylinder that accepts wind from any direction. The only topo-geometric option of higher power-to-mass is a wing across the circle that can be rotated. A disc lattice does not need bulk rotation, so its a strong contender at the largest scales. Like a HAWT farm, the kites need to be spaced somewhat loosely to not overly block flow nor suffer too much internal wake interference. Lattice waves in a disc array would spontaneously form as wind velocity increases, to be tapped by groundgens by yoyo motions. Kite trains in the disc could be cross-linked such that one train goes up while another coupled to it goes down, and this motion is tapped by a capstan at the surface. These trains need to be located in just the right places so that natural harmonics of the disc match the patterns of the coupled trains. Below are the natural aeroelastic modes of such a disc. Ideally the trains would be able to cross-connect between these zones dynamically, as wind speed and load vary, to match conditions. There would be additional tuning parameters of the unit-kite meta-atoms to accomplish matching. What can be seen immediately is that trains need to dynamically connect to neighbors both radially and circumferentially. The unit-kitetrains are meta-molcules of a special kind, in need of rapid development, but not particularly exotic to kite making and flying. A particular kitematter-disc design aspect is to design the margin and top surface of a supporting lenticular multi-kite outer layer. This will determine whether the internal kite-trains stand vertically or lean in some direction with respect to wind direction. The trains themselves might fully rotate or rotate the AoA tilt of all their unit-kites. The early design process of these theoretic kitematter dynamics is now underway, with high confidence in the physics. Pending kPower experiments will seek experimental validations. A key goal is actively-controlled "semi-passive" harmonics, by modulating kite-train pair AoA's between + and - . Percussion |
May 10, post by Dave Santos Quantum Wave Functions in ordinary rope!? Am now heuristically confident ordinary string MUST display true QM wave functions, having found where missing subtleties hide. There are at least five major polarizations in string waves- two transverse, one longitudinal, and two helical. String travelling wave packet phonons dynamically superpose within all these dimensions, with fairly coherent conservation of energy. 5D + time QM wave functions projected on a 2D + time graph are "shadowgraphs", with out-of-plane motion invisible, but present. Beautiful. Copied and extended from another post- A
complex traveling wave packet on a kiteline is multi-dimensionally
polarized. A calculated wave function ~arbitrarily chooses polarization
planes, so the same real quantum state can look very different,
according to starting "mapping" assumptions. This is a key reason why
QM wave functions in ordinary string have naturally hidden in plain
sight, until now.
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May 10, 2020, post by Dave Santos Complex traveling wave packets on kitelines A complex traveling wave packet on a kiteline is multi-dimensionally polarized. Note that calculated wave function ~arbitrarily chooses polarization planes, so the same real quantum state can look very different, accordingly. This is a key reason why QM wave functions in ordinary string have naturally hidden in plain sight, until now. |
May 9, 2020, post by Dave Santos Quantum Wave Functions in ordinary rope!? Conjecture: A traveling wave in a plucked string can embody a quantum-analogue wave function. Transverse wave-packet components, and helical moments, of a rope, in two reference planes, may match projected complex waves. I see an especially natural match with QM wave function H below. For a simple experiment, a thin rope between two trees loosely tensioned will support lazy traveling waves that travel coherently back and forth a few times, bouncing between trees, easily videoed. Rope plucked at one end starts a single packet going, with the nearby tree as a back-reflector. Pluck in the middle sends waves both ways, that superpose nicely through each other on return. Customized plucks can impart diverse complex wave functions. Will experiment data-acquisition match anecdotal observation and heuristic prediction of QM wave functions? Place your bets! Next: Perform physical experiment for videogrammetric data. ========= See Animated GIF on linked page: wiki/Wave_function |
May 9, 2020, post by Dave Santos Yikes, catch-up BEC identification Heretofore I have taken pains to distinguish BES and BEC for Pierre and Doug. I have seen soft-kites in bags as a BEC, but that's not a first-order case. Lately though, I can affirm the standing wave phonon on a tow-rope (or kite tether) is formally a BES. All standing and travelling wave phonons on lines and membranes are formally "condensed matter" BECs, at Debye Temps. |
Quantum Mechanical Analogues for Kite Metamaterials has some tease from third-party views in the physics world. Santos, Dave; Faust, Joe; Quintanilla, Jorge (2020) Feedback: A brief history of kite physics. Physics World, 33 (2). pp. 20-21. ISSN 0953-8585. (doi:10.1088/2058-7058/33/2/28) (KAR id:80654) https://kar.kent.ac.uk/80654/ kar.kent.ac.uk Santos_2020_Phys._World_33_28.pdf Some works of Jorge Quintanilla : https://orcid.org/0000-0002-8572-730X |
April 4, 2020, post by Dave Santos Time Crystals still not fully defined- Notes on dancing kite unit-metamaterial model Always "practicing my swing", to attempt explaination fundamental kite dynamics otherwise unexplained in the literature. Thanks for any suggestions or corrections. Whether a dancing kite is a good time crystal model depends on the thermodynamic thermalization assumptions allowed. Its not a proper time crystal if molecular scale thermalization is emphasized (ie. brownian motion of wake heat creation). On the other hand, it is a time crystal if micro-thermalization motions are disregarded, as non-interacting frequencies to macro-oscillation wavelength scale. We understand tensile-force in our kite or tow-rope models to be largely independent of ambient molecular thermalization (disregarding melting-freezing material phase transitions). A dancing kite is near a Debye thermal equilibrium, near absolute zero of "thermalization" at its scale. We even get negative absolute zero values with high Debye temps, the non-classical QM realm. Take (sonic) Relativity to mean a universe essentially filled with clocks, where each clock tells its own time according to its local conditions. Clockwork runs faster at small scale and slower at large scale. This is how time works, as pure motion itself. A time crystal embedded in our universe is a clock that runs forwards then backwards indefinitely in time-reversal-symmetry. The dancing kite dances seemingly without periodic forcing in the forward time direction, but forced in reversed time (wake vortex train would drive it periodically in the reverse direction). Its not enough to think of wake periodicity making the kite dance in forward time. How does symmetry-breaking periodicity arise at all from non-periodicity? A dancing kite has two boundary phases- lying on the ground lacking sufficient wind, and looping rather than lemniscating when the wind energy reaches an upper threshold. At its zero-point energy ground-state of barely flying, its predicted here that it still oscillates around its six DOF, even if no one has bothered looking for the tiny motions (towing in still air is best way to isolate such motions, forget wind tunnels). Define time crystals too tightly, and they cannot exist (forget dancing kites then). The article linked below explores time crystal ontological uncertainty c.2015. A nuanced range of time crystal definitions is emerging. Time crystals are at best an effective theory. They are not possible in ideally pure form any more than Euclidian geometry exists in warped space (the only kind of space we know). Effective theories may not satisfy theoretic idealism, but they are useful to engineering. I am confident analogue QM lattice phonons is the best available effective theory (best available mathematics) for kite metamaterial speculation and experimental design. Physicists propose new definition of time crystals—then prove such things don't exist ============================= Consider that the ground state of an aircraft system occurs at its minimum efficient glide/cruise velocity (flight state, not so-called "grounded" state). This ground state is a 6DOF time crystal. The ontological solution is that an airplane is really only such in flight. Aerodynamics is the flow of molecules at some velocity, which gives a relatively high frequency with respect to boundaries like airfoils. An airframe oscillates in 6DOF at lower frequency than the molecular flow driving bulk motion. Lowered macroscopic period a signature of driven time crystal models. This recent overview sorts thru a growing zoo time crystal models. The author likes those that seem to me closest to kite observables. In the most generous TC definitions, metronomes and laser beams meet key criteria. Power kites are especially pertinent if metamaterials engineered from them can replace fossil fuel dependence. A Brief History of Time Crystals Vedika Khemani, Roderich Moessner, S. L. Sondhi --------------- Ed: DOF degrees of freedom Degrees_of_freedom_(mechanics) |
March 12, 2020, post by Dave Santos "our kite lattice boundary conditions are often defined in terms of a lifter-layer above and surface-layer below, and we are now adding "perimeter-layer" as a boundary class." |
"wings
are point-like structure in a larger far-field, to comprise a far
larger unit-mass in a network of units. Kiteline interconnections and
the aero pressure field are elastic. We invert your model in gravity
field to match our particular application dynamics, under effective
"negative mass" assumption. Wind excites waves in a suitable kite
lattice to be tapped at the anchor connections on the surface.
Theoretic giant acoustical-mechanical waves in a regular polymer-air
spring-mass lattice identify as analogue QM (John Bush, MIT). These
waves are seen in any toy kite train or arch of similar units suitably
spaced." March 9, 2020, Dave Santos And: "Regarding phonon-based quantum computing as we have imagined, tin-can-telephone units in string networks are another close analogue model. Kites are a sort of super low-frequency long-wavelength version. Its exciting that the same dynamics can happen at molecular scale, for THz optical-phonon operating frequencies." |
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