Hitzer & Sangwine: Exponential Factorization and Polar Decomposition of Multivectors in Cl(p,q), p+q <=3


E. Hitzer, S.J. Sangwine, Exponential Factorization and Polar Decomposition of Multivectors in Cl(p,q), p+q <=3, submitted to AACA (2019). Preprint: http://vixra.org/abs/1911.0275 Continue reading

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M.E. Horn: Cheating with Complex Numbers (English + German)


Martin Erik Horn: Cheating with Complex Numbers – Der Selbstbetrug mit den Komplexen Zahlen.

English abstract:
Together with complex conjugation, complex numbers are misused to model anti-commutative structures. Continue reading

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Software: Differential geometric algebra (Grassmann.jl v0.3.3) + preprint


Graph: A new a skeleton function useful for Discrete Morse Theory. I am contacting you in regards to my free GPL software called Grassmann.jl (preprint of 6p.: here or here).

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Li et al: The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-euclidean Planes


Zijia Li, Josef Schicho, Hans-Peter Schröcker, The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-euclidean Planes, in Prof. Luigi Cocchiarella (ed.), ICGG 2018 – Proceedings of the 18th International Conference on Geometry and Graphics, 40th Anniversary – Milan, Italy, August 3-7, 2018, Springer, 2018.
URL: https://www.springerprofessional.de/the-geometry-of-quadratic-quaternion-polynomials-in-euclidean-an/15914864
Arxiv: https://arxiv.org/abs/1805.03539

Abstract: We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions Continue reading

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Li et al: Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions


Li, Zijia; Scharler, Daniel F.; Schröcker, Hans-Peter; Factorization results for left polynomials in some associative real algebras: state of the art, applications, and open questions, J. Comput. Appl. Math. 349, pp. 508-522 (2019).
URl: https://doi.org/10.1016/j.cam.2018.09.045
Arxiv preprint: https://arxiv.org/abs/1803.06194

Abstract: We discuss existence of factorizations with linear factors for (left) polynomials over certain associative real involutive algebras, most notably over Clifford algebras. Continue reading

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D. Hestenes: Zitterbewegung structure in electrons and photons


Note: Communicated by Nek Valous, National Center for Tumor Diseases (NCT), Heidelberg.

Title: Zitterbewegung structure in electrons and photons
Journal: arXiv:1910.11085v1 (Submitted on 2 Oct 2019)
Author: David Hestenes
Link: https://arxiv.org/abs/1910.11085
Abstract: The Dirac equation Continue reading

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Call for papers: International Conference on Advances in Physical, Chemical & Mathematical Sciences ICA-PCM 2020, Nagpur, India, 13-16 Feb. 2020


Title : ICA-PCM 2020
Dates of conference: Feb. 13-16, 2020
Title of conference: International Conference on Advances in Physical, Chemical & Mathematical Sciences (ICA-PCM-2020)
Place (city, country): Nagpur, INDIA
Address: Rashtrasant Tukadoji Maharaj Nagpur University, Nagpur (MS)-440033, India. Continue reading

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