Contents:

  • Introduction
  • What are Quantum Fractals?:
    • Cantor Set
    • Iterated functionality Systems
    • Cantor Set via Matrix Eigenvector
    • Quantum Iterated functionality Systems
    • Example: The "Impossible" Quantum Fractal
    • Action at the Plane
    • Lorentz crew, SL(2,ℂ), and Relativistic Aberration
  • Examples:
    • Hyperbolic Quantum Fractals
    • Controlling Chaotic habit and Fractal Dimension
    • Quantum Fractals on n-Spheres
    • Algorithms for producing Hyperbolic Quantum Fractals
  • Foundational Questions:
    • Stochastic Nature of Quantum size Processes
    • Are There Quantum Jumps?
    • Bohmian Mechanics
    • Event more desirable Quantum Theory
    • Ghirardi–Rimini–Weber Spontaneous Localization
    • Heisenberg's Uncertainty precept and Quantum Fractals
    • Are Quantum Fractals Real?
  • Appendix A. Mathematical Concepts:
    • Metric Spaces
    • Normed Spaces
    • Measure and Integral
    • Markov, Frobenius-Perron and Koopman Operators
  • Appendix B. Minkowski area Generalization of Euler-Rodrigues Formula:
    • Alternative Derivation through SL(2,ℂ)

Readership: complicated undergraduate scholars and pros in quantum chaos, in addition to philosophers of science.

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