Explore the fascinating world of chaos theory and geometry in this comprehensive lecture by Tim Palmer at The Royal Institution. Delve into how fractal geometry bridges Newtonian and 20th-century mathematics, understand the concept of state space, and discover the predictability of chaotic systems. Learn about applying chaos theory to hurricane prediction, examine the Bell experiment's implications for quantum physics, and investigate the application of fractals to Bell's theorem. Gain insights into how the geometry of chaos can explain our uncertain world, from weather and pandemics to quantum physics and free will, ultimately challenging the notion of spatial reductionism.
Chaos Theory and Geometry - Can They Predict Our World? With Tim Palmer
The Royal Institution via YouTube
Overview
Syllabus
Introduction
Illustrating Chaos Theory with pendulums demo
Fractal geometry: A bridge from Newton to 20th Century mathematics
The three great theorems of 20th Century mathematics
The concept of State Space
Lorenz State Space
Cantor's Set and the prototype fractal
Hilbert's Decision Problem
The link between 20th Century mathematics and fractal geometry
The predictability of chaotic systems
Predicting hurricanes with chaos theory
The Bell experiment: proving the universe is not real?
Counterfactuals in Bell's theorem
Applying fractals to Bell's theorem
The end of spatial reductionism
Taught by
The Royal Institution
