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List of publications and
preprints, last updated 10 August 2013.
Personal versions from this page are different from the referenced publication. They are subject to change or correction at any time. Please always obtain the definitive document from the referenced publication.
J. Köplinger, V. Dzhunushaliev, Nonassociative quantum theory, emergent
probability, and coquasigroup symmetry, arXiv:0910.3347 (2011).
J. Köplinger, An analysis of Rick Lockyer's "octonion variance sieve"
J. A. Shuster, J. Köplinger, Doubly nilpotent numbers in the 2D plane, Appl. Math. Comput. 217 (2011),
doi: 10.1016/j.amc.2011.02.021 (personal version
J. A. Shuster, J. Köplinger, Elliptic complex numbers with dual multiplication, Appl. Math. Comput. 216 (2010),
doi: 10.1016/j.amc.2010.04.069 (personal version
J. Köplinger, Nonassociative quantum theory on octooctonion algebra, J. Phys. Math.
J. Köplinger, Gravity and electromagnetism on conic sedenions, Appl. Math. Comput. 188 (2007),
doi: 10.1016/j.amc.2006.10.050 (personal version
J. Köplinger, Hypernumbers and relativity, Appl. Math. Comput. 188 (2007),
doi: 10.1016/j.amc.2006.10.051 (personal version
J. Köplinger, Signature of gravity in conic sedenions, Appl. Math. Comput. 188 (2007),
doi: 10.1016/j.amc.2006.10.049 (personal version
J. Köplinger, Dirac equation on hyperbolic octonions, Appl. Math. Comput. 182 (2006),
doi:10.1016/j.amc.2006.04.005 (personal version
J. Köplinger, G. Kasper, and S. Hunklinger, Glass transition in chlorobenzene-decalin under pressure, J. Chem. Phys. 113 (2000) 4701-4706 (issue 11); doi: 10.1063/1.1288904.
The following preprints have not been independently reviewed, and represent an intent to publish, which may include a transfer of copyright. They are subject to change at any time. For personal use only.
no preprints at this time
J. Köplinger, J. A. Shuster, Beyond the Complexes: Toward a lattice based number system, talk at 3rd Mile High Conference on Nonassociative Mathematics (2013), University of Denver, CO ( PDF).
J. Köplinger, Beyond complex number exponentiation: Two prototypes, talk at AMS Spring Central Section Meeting (2013), Iowa State University, Ames, IA ( PDF).
J. Köplinger, Introducing Burgin hypernumbers in one page, Micropaper (2013), PDF.
J. Köplinger, John A. Shuster, "1 + 1 = 2" A step in the wrong direction?, Essay (2012), PDF.
J. Köplinger, V. Dzhunushaliev, Notes towards a nonassociative quantum theory, talk at AMS Fall Central Section Meeting (2010), University of Notre Dame, South Bend, IN ( PDF, PS).
V. Dzhunushaliev, J. Köplinger, Hidden nonassociative structures in quantum mechanics, talk at 2nd Mile High Conference on Nonassociative Mathematics (2009), University of Denver, CO ( PDF, PS).
J. Köplinger, V. Dzhunushaliev, and M. Gogberashvili, Emergent time from non-associative quantum theory, Essay (2008), PDF.
J. Köplinger, V. Dzhunushaliev, Non-associative decomposition of angular momentum operator using complex octonions, talk at 75th SESAPS meeting (2008), SES08-2008-000089 ( PDF, PS.gz; see also supplement with details and notation cross-reference: PDF, PS).
J. Köplinger, Quantum of area from gravitation on complex octonions,
J. Köplinger, Proposed operator description of four dimensional Euclidean quantum gravity, talk at 74th SESAPS meeting (2007), SES07-2007-000015 ( PDF, PS).
J. Köplinger, Remarks on four dimensional Euclidean gravity
without Wick rotation, arXiv:hep-th/0605233 (2006).