"It is a miracle that curiosity survives formal education." 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 lead to interactions by overlapping holographic memory patterns, see "Nuclear Aspects of Overlapping Holographic Phase Patterns".
In physics the attractor could be realized under classical and quantum constraints, where
the central property of the attractor is an additional linear coupling between angular (Euler) variables, which can be engineered under classical conditions:
the magic angle attractor acts 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.
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
"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