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Starting with numerical algorithms resulting in new kinds of amazing fractal patterns on the sphere, this book describes the theory underlying these phenomena and indicates possible future applications. The book also explores the following questions: -->: What are fractals?; How do fractal patterns emerge from quantum observations and relativistic light aberration effects?; What are the open problems with iterated function systems based on Mobius transformations?; Can quantum fractals be experimentally detected?; What are quantum jumps?; Is quantum theory complete and/or universal?; Is the sta

Fractals. --- Mathematical physics. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Physical mathematics --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Mathematics --- Fractals --- Mathematical physics --- Quantum theory