Quantum, Relativity & Forces Explained | Pixelated Physics
8 articles
Chaos Theory and the Butterfly Effect: Why Weat...
Edward Lorenz found that a tiny change in the starting numbers of a simple weather model led to a completely different forecast. That is the butterfly effect. Here are the...
Chaos Theory and the Butterfly Effect: Why Weat...
Edward Lorenz found that a tiny change in the starting numbers of a simple weather model led to a completely different forecast. That is the butterfly effect. Here are the...
Noether’s Theorem: Why Symmetry Means Conservation
Why is energy conserved? Why is momentum? In 1918 Emmy Noether gave a single answer: because the laws of physics have symmetries. Here is her theorem in plain language, a...
Noether’s Theorem: Why Symmetry Means Conservation
Why is energy conserved? Why is momentum? In 1918 Emmy Noether gave a single answer: because the laws of physics have symmetries. Here is her theorem in plain language, a...
The Rössler Attractor: One of the Simplest Chao...
Three short equations, only one nonlinear term, and the result is chaos: a band that spirals out, lifts, folds and falls back. Here is the Rössler attractor, how it stretches...
The Rössler Attractor: One of the Simplest Chao...
Three short equations, only one nonlinear term, and the result is chaos: a band that spirals out, lifts, folds and falls back. Here is the Rössler attractor, how it stretches...
The Duffing Oscillator: Hardening Springs, Jump...
Make a spring stiffer the more you stretch it, push it back and forth, and its resonance bends, jumps and can turn chaotic. Here is the Duffing oscillator: hardening and...
The Duffing Oscillator: Hardening Springs, Jump...
Make a spring stiffer the more you stretch it, push it back and forth, and its resonance bends, jumps and can turn chaotic. Here is the Duffing oscillator: hardening and...
Arnold's Cat Map: How Chaos Scrambles a Picture...
Stretch a picture, cut it, stack it back into the square, and repeat. After a few steps the image is noise. Keep going and it comes back. Here is how...
Arnold's Cat Map: How Chaos Scrambles a Picture...
Stretch a picture, cut it, stack it back into the square, and repeat. After a few steps the image is noise. Keep going and it comes back. Here is how...
The Brachistochrone: Finding the Fastest Way Down
What shape of ramp gets a ball to the bottom fastest? Not a straight line, and not Galileo's circle. Here is the 1696 brachistochrone challenge, the cycloid that answers it,...
The Brachistochrone: Finding the Fastest Way Down
What shape of ramp gets a ball to the bottom fastest? Not a straight line, and not Galileo's circle. Here is the 1696 brachistochrone challenge, the cycloid that answers it,...