Using Quandles and the Alexander-Conway Polynomial to Detect Causality
Keywords:
Quandles, Causality, Alexander-Conway PolynomialAbstract
I examine whether the coloring invariant of specific Alexander quandles can be paired with the Alexander-Conway polynomial so that they can plausibly detect causality between two events in (2+1)-dimensional globally hyperbolic spacetime.
References or Bibliography
Samantha Allen and Jacob H Swenberg. “Do link polynomials detect causality in globally hyperbolic spacetimes?” In: Journal of Mathematical Physics 62.3 (2021), p. 032503.
Vladimir Chernov and Stefan Nemirovski. “Legendrian links, causality, and the Low conjecture”. In: Geometric and Functional Analysis 19.5 (2010), pp. 1320–1333.
David Joyce. “A classifying invariant of knots, the knot quandle”. In: Journal of Pure and Applied Algebra 23.1 (1982), pp. 37–65.
Maplesoft, a division of Waterloo Maple Inc.. Maple. Version 2021. Waterloo, Ontario, 2021. url: https://www.maplesoft.com.
Sam Nelson. Quandles and Racks. 2015. url: https://www1.cmc.edu/pages/faculty/VNelson/quandles.html.
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