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Fractals, logarithmic spiral and coherent states

AIP Conference Proceedings, 2012
Self-similarity properties of fractal structures and logarithmic spiral are related to quantum dissipative dynamics, squeezed coherent states and noncommutative geometry in the plane.
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Infinity as a Fractal Logarithmic Spiral

Classical mathematics treats innity as a direction: the number line extends without end. Cantor's cardinal arithmetic reveals that some innities are larger than others but preserves the linear structure. Fractal Uncertainty Theory (FUT) and Coherent Mathematics (CoMath) propose a fundamentally dierent geometry: innity is a fractal logarith-mic spiral ...
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New Analytic Solution with Continuous Thrust: Generalized Logarithmic Spirals

Journal of Guidance, Control, and Dynamics, 2016
Jesus Peláez Alvarez, Javier Roa
exaly  

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