Description
Book SynopsisStarting 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:
Table of ContentsWhat are Quantum Fractals?; Cantor Set; Iterated Function Systems; Cantor System Through Matrix Eigenvector; Quantum Iterated Function Systems; The 'Impossible' Quantum Fractal; Lorentz Group; SL(2,C), and Relativistic Aberration; Hyperbolic Quantum Fractals; Platonic Quantum Fractals for a Qubit; Controlling Chaotic Behavior and Fractal Dimension; Quantum Fractals on N-Spheres; Clifford Algebras; Frobenius - Perron Operator; Computer Simulations; Foundational Questions; Stochastic Nature of Quantum Measurement Processes; Are There Quantum Jumps?; Bohmian Mechanics; Ghirardi - Rimini - Weber Spontaneous Localization; Event Enhanced Quantum Theory; Heisenberg's Uncertainty Principle and Quantum Fractals; Are Quantum Fractals Real?; Limits of Quantum Computation.
