"Holzhacken ist deshalb so beliebt, weil man bei dieser Tätigkeit den Erfolg sofort sieht." "People love chopping wood. In this activity one immediately sees results."
Albert Einstein
Concepts
Geometric phases play a central role in Maxwell-Coulomb interaction and quantum computation. The idea presented here is to focus on a geometric phase strange attractor (sine/cosine map)
emerging with rotated rotations on curved surfaces, where the attractor fixed points (magic precession angles) can be calculated by the functional equation of the Riemann zeta function, see "Magic Angle Precession and the Riemann Zeta Function".
The attractor can produce higher-dimensional phase patterns that are Fresnel ring/spiral holographic memory patterns able to map and focus nonlocal topological charge and spin properties onto a local point-like image structure. So it is interesting to see how the spin and charge properties of this attractor show strong and neutralizing interactions between overlapping holographic memory patterns with a Coulomb potential mapped to a neutral oscillator potential, see "Nuclear Aspects of Overlapping Holographic Phase Patterns".
In "Twistorial Holography of Curvature-Invariant de Sitter Spin Currents", we consider twistorial/gyro angular density patterns or holograms on simple AdS/dS surfaces and apply a Gudermannian mapping, where the stereographic mapping between surfaces of different constant curvatures induces by the AdS/CFT correspondence the geometric extra rotations and frequency/phase shifts. This leads to a curvature-invariant geodetic impedance and matching condition for spin currents mediating between spaces of different constant curvature. The dynamics and special curvature-invariant frequency relations can be quantified by semi-classical (Euler) variables and experienced in a widespread fitness toy called "Gyrotwister", "Powerball", "Dynabee", ...,
where a rolling gyroscope axis -the linear angular coupling- allows to control the high frequency spin by a low frequency precession generating in this way very strong angular moments per mass.
Higher Holographic Spin Currents obtained by a Twistorial Holography Gauge Theory
Simone Giombi (Harvard) and Xi Yin (Harvard, Princeton) have recently computed the holographic correlation function of topological
monopole twistor structures considering a twistor
transform of the correlation functions on the polarization spinors
in "Higher Spins in AdS and Twistorial Holography".
The central message of Giombi and Yin is the complete agreement of the tree level three point functions of higher spin currents in Vasiliev’s theory
with the conjectured dual free O(N) vector theory. "Firstly, the bulk higher spin gauge theory is analogous to the tensionless limit
of string field theories in AdS space, but has explicitly known classical equations of
motion. Secondly, the conjecture provides the first explicit holographic dual of a free
(gauge) theory. Thirdly, the conjecture provides the first precise holographic dual of a
CFT that can be realized in the real world, namely the critical O(N) vector model (for
small values of N)."
The general picture was based on E. Sezgin and P. Sundell, “Massless higher spins and holography,”
(2003) and I. R. Klebanov and A. M. Polyakov, “AdS dual of the critical O(N) vector model” (2002).
Comment: intuitively, this result is clear and not too complex regarding the understanding of the AdS dual of O(N). The way they tried it the first time was like using a sledgehammer to crack nuts. As a fact, despite of it's simplicity in the twistor internal variables it has never been in the focus of considerations. Calculating the correlation functions on the polarization spinors with twistor internal variables is exactly what we do in our computer experiments. Giombi and Yin work with delta functions in Fourier space, we obtain the correlation function from a convolution of Gaussian shape functions working in Fourier Space and get strong local overlap effects, which provides for the same limit and Coulomb/Kepler interaction at large distances.
Harvard and Princeton and others are frequently web-visitors here, hopefully they can find more inspirations.
Due to the very high degree of complexity and nonlinearity in higher-dimensional holgraphic spin interactions (N > 3),
proper computer simmulations are the real challenge and really needed for verification, validation, inspiration, and prediction. The MAP attractor provides for fixed points exchanging spin currents lossless between spaces of different constant curvature, like AdS SO(1,N-1) or SO(N-1,1) and dS SO(N).
Aharonov-Bohm Effect and Berry Phase Anniversary 50/25
"Geometric Phase Patterns and Holography - Encoding Model for Charge and Spin", invited poster, "Aharonov-Bohm Effect and Berry Phase Anniversary 50/25
2009, Dec., 14-15, University Bristol", GB (2009). It was a great pleasure to celebrate with, listen and talk to Sir Michael Berry, Sandu Popescu, John
Hannay, Sir Michael Atiyah, Yakir Aharonov, Joseph Avron, Andre Geim and many others and to learn about the history around the Bristol physics department.
Summary:
Geometric phases arise from interference, where the interference of spatial separated interference patterns shows a characteristic correlation or interaction.
Considering overlapping holographic interference patterns of topological charges (local twists and phase singularities), the local interference patterns of these topological patterns arising in the overlap region are proposed to be neutral Berry's phase patterns (interpreted as neutrons or neutrinos) related to strong interaction.
It seems that a stable configuration requires that all neutral patterns connecting charged patterns are in phase. This effect could be dominant in 4-Be-9 (Beryllium-9, occurence 100%, extremely stable) in contrast to 4-Be-8 (Beryllium-8, occurence 0%, totally unstable).
Space, Propulsion & Energy Sciences International Forum (SPESIF)
The
SPESIF platform seeks to promote the exchange of information among technologists, academicians, industrialists, and program managers on technical and programmatic issues related to the Space, Propulsion and Energy Sciences.
Anholonomy Attractor - Generating Strong Geodesic Flows and Pumps
"Geodesic Holonomy Attractor between
Surfaces of Different Curvature Signs relevant
to Spin Transport", CHAOS2009, Chania, Crete (2009).
Selected Publications
"Twistorial Holography Pointing to Curvature-Invariant de Sitter Spin Currents", preprint
"Magic Angle Precession and the Riemann Zeta Function", preprint
"Nuclear Aspects of Overlapping Holographic Phase Patterns", preprint
Harvard SAO/NASA Astrophysics Data System (ADS)
"Magic Angle Chaotic Precession", in "Topics on Chaotic Systems: Selected Papers from CHAOS
2008 International Conference", Editor Ch. Skiadas, Singapore, World Scientific Books, p.31-42 (2008),
(Amazon).
"Berry's Phase and
Fine Structure", preprint (2002), (PhilSci archive).
"Friedmann Propulsion in a Flat Holographic Universe" (Advanced Gauss Unit Scale Flux Normalization), STAIF 2008, New Mexico.
In "Space Technology and Applications International Forum-STAIF 2008", Editor M. S. El Genk, AIP Conference Series 969, p.1146-1153 (2008).
Conferences with Contributions
STAIF 2007 Albuquerque (New Mexico, USA), QUANTUM MIND 2007 Salzburg (Austria), STAIF 2008 Albuquerque (New Mexico, USA), CHAOS2008 Chania (Crete, Greece), SPESIF 2009 Huntsville (Alabama, USA), CHAOS2009 Chania (Crete, Greece), Aharonov-Bohm Effect and Berry Phase Anniversary 50/25 2009 (Bristol, UK), SPESIF 2010 John Hopkins University (Washington, USA), SPESIF 2011 University of Maryland
Simulations 
Berry's Phase & Fine Structure Constant Java simulation, some screenshots
Geometric Phase Bifurcation near Z=115
Parallel Transport and Precession
Quantum Precession or Quantum Gyroscope with Magic Angle Precession (MAP)
Quark Model: Three Space-like Cones Rolling on a Common Time-like Cone
MAP part of a Chua oscillator showing "charged" bifurcation singularities
(c) Bernd Binder 2002-2010