Category Archives: publications

Freedman et al: Quantum computing with Octonions


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

Title: Quantum computing with Octonions
Journal: arXiv:1811.08580 [quant-ph]
Authors: Michael Freedman, Modjtaba Shokrian-Zini, Zhenghan Wang
Link:https://arxiv.org/abs/1811.08580
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Hitzer & Hildenbrand: Cubic Curves and Cubic Surfaces from Contact Points in Conformal Geometric Algebra


E. Hitzer and D. Hildenbrand, Cubic Curves and Cubic Surfaces from Contact Points in Conformal Geometric Algebra, accepted for M. Gavrilova et al (eds.), Proceedings of Workshop ENGAGE 2019 at CGI 2019 with Springer LNCS, April 2019, 1 table. Preprint (PDF): http://vixra.org/pdf/1905.0026v3.pdf

Abstract: This work explains how to extend standard conformal geometric algebra of the Euclidean plane in a novel way to describe cubic curves Continue reading

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Hitzer & Sangwine: Foundations of Conic Conformal Geometric Algebra and Simplified Versors for Rotation, Translation and Scaling


E. Hitzer and S.J. Sangwine, Foundations of Conic Conformal Geometric Algebra and Simplified Versors for Rotation, Translation and Scaling, submitted to Topical Collection of Adv. in Appl. Clifford Algebras, for Proceedings of FTHD 2018, 21 Feb. 2019, 15 pages. Preprint (PDF): http://vixra.org/pdf/1905.0030v1.pdf
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Gillard & Gresnigt: Three fermion generations with two unbroken gauge symmetries from the complex sedenions


Adam B. Gillard, Niels G. Gresnigt, Three fermion generations with two unbroken gauge symmetries from the complex sedenions, 22 pages, 2 figures, preprint (PDF): https://arxiv.org/pdf/1904.03186.pdf (Submitted on 5 Apr 2019)

Abstract: We show that three generations of leptons and quarks with unbroken Continue reading

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D. Bryukhov: The Static Maxwell System in Three Dimensional Inhomogeneous Isotropic Media, Generalized Non-Euclidean Modification of the System (R) and Fueter Construction


Dmitry Bryukhov, The Static Maxwell System in Three Dimensional Inhomogeneous Isotropic Media, Generalized Non-Euclidean Modification of the System (R) and Fueter Construction, 27 pages, preprint: https://arxiv.org/abs/1904.08299 (Submitted on 16 Apr 2019). Continue reading

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New book by Gal & Sabadini: Quaternionic Approximation


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

Title: Quaternionic Approximation: With Application to Slice Regular Functions
Authors: Gal, Sorin G., Sabadini, Irene
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AACA, Contents of Vol. 29, Issue 2


We are pleased to deliver your requested table of contents alert for Advances in Applied Clifford Algebras. Volume 29 Number 2 is now available online.

In this issue

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