The simplistic beauty of a quaternion fractal...

Anotated Bibliography

Palmer, T. N. "Quantum Reality, Complex Numbers, And The Meteorological Butterfly Effect." Bulletin Of The American Meteorological Society 86.4 (2005): 519-530. Academic Search Complete. Web. 26 Mar. 2013.
T. N. Palmer is a Royal Society Professor in the Physics Department at the University of Oxford.  In this article, Palmer attempts to address some of the deep conceptual problems addressing quantum physics, namely non-local causality, or what Einstein called “spooky action at a distance”; and interdetermanicy. To explain away these problems Palmer goes outside the usual realm of quantum physics to borrow a concept know as “non linear thinking” from meteorology. Ed Lorenz, a famous meteorologist who pioneered working with computers to predict weather, largely put this concept forth. Palmer insists that no prior knowledge of quantum physics is need to understand the article and provides a glossary of terms. However, this is an extremely heavy read and deals with some very difficult concepts as well as higher math. More then anything, it reads like a philosophy paper. He draws on the work of a number of authors to highlight certain premises and then draws his own logical conclusions from there. This is a very interesting article spanning multiple disciplines. The connections he makes between non linear thinking, quantum reality, mathematical series and quaterions could be a helpful source for showing the quaternions have some true physical meaning.
Hauser, Jochem, and Walter Dröscher. "Gravity-Like Fields New Paradigm For Propulsion Science." International Review Of Aerospace Engineering4.5 (2011): 287-306. Academic Search Complete. Web. 1 Apr. 2013.
Walter Dröscher is a physicist who spends most of his time developing Hiem theory. Jochem Hauser is a Physicist & Professor of Computer Science at the University of Applied Sciences in Salzgitter, Germany. They have written several papers together. In this paper, they address the possibility of propulsion systems that employ a gravity-like field. First, they out line the problems that face current space travel and the inherent physical limitations associated with them. They then cite a few recent experiments where gravity-like fields have been observed.  The discuss how these observations are outside the explanations given by Einstein’s theory of General Relativity and discuss new theories that might be supported by these observations. Someone will best understand this paper with some background knowledge in particle physics and General Relativity. However, the difficulties here are mostly conceptual and not mathematical. This paper is of interest in the way that it relates the use of quaternions to PMT theory and gives reason to think that this system of algebra might have some physical meaning.
McDonald, J. "Teaching Quaternions Is Not Complex." Computer Graphics Forum 29.8 (2010): 2447-2455. Academic Search Complete. Web. 2 Apr. 2013.
J. McDonald is a professor of computer graphics at DePaul University in Chicago, IL. In this article He outlines the common difficulties that students usually encounter when trying to learn how to use quaternions. He then proposes a different way to teach this system of math opposed to the conventional method. He is writing here for students that are in higher math and or computer science. The article focuses mainly on how quaternions are used to rotate objects in three dimensional space in computer graphics. He walks the reader through multiple demonstrations of different problems in involving quaternions, matrices, trigonometry and basic rotations. This will provide helpful, simplified insight into how quaternions are being used in physical theories.
Sabatini, A. M. "Quaternion-Based Strap-Down Integration Method For Applications Of Inertial Sensing To Gait Analysis." Medical & Biological Engineering & Computing 43.1 (2005): 94-101. Academic Search Complete. Web. 2 Apr. 2013.
Angelo M. Sabatini received the Dr. Eng. Degree in electrical engineering from the University of Pisa, Italy in 1986 and the PhD degree in biomedical robotics from Scuola Superiore Sant’ Anna, Pisa in 1992. In this article Sabatini proposes an integration technique for quaternions used in human gait analysis. This is essentially a way for scientists to use mathematical language to accurately mimic human limb movement in biomedical robots.  This is very dense and I had a hard tim following it. He is writing to an audience with a very sound understanding of the concepts that he is addressing. I think that that only help this article will provide is an example of how someone finds the quaternion system to be useful in todays modern world. This could be used within the context of the ongoing debate about whether quaternions should be used or not.
Sheck, F, H. Upmeier, W. Werner (Eds.). Noncommutative Geometry and the Standard Model of Elementary Particles. Berlin, Germany: Springer, 2002. Print. 
This book is a set of lecture notes from a class taught, of the same name, at the Hellelberg Acadamy (in northern Bavaria, Germany) during the week of March 14-19, 1999. The authors are/were members of the academy that helped organze and collect the notes. This is like a very complex text book and very difficult for me to understand. I doubt I could understand very much of this book at all. I think it could be helpful in providing some examples of how quaternions are being applied to particle physics.

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...Here there be Quaternions...

...Here there be Quaternions...
The plaque from the bridge where Sir William Rowan Hamilton first discovered Quaternions.