Classical Mechanics
The Curious Case of the Inverted Pendulum
Everyone who has studied basic physics, mechanics, dynamics or control system have encountered the inverted pendulum.
Physics
Relativity
Thinking Relativistically
Problem-solving in special relativity.
Astrophysics
Black Hole Entropy and the Laws of Thermodynamics
The Remarkable Similarities Between the Black Holes Mechanics and Laws of Thermodynamics
Physics
Oppenheimer’s Letter of Recommendation for Richard Feynman (1943)
Let’s journey back to November 1943. The Manhattan project is in its fourth year of operations, and J. Robert Oppenheimer’s Los Alamos Laboratory is eleven months into its mission of designing and building the first atomic bomb.
Physics
When Wiener met Einstein (1925)
Mathematician and later father of cybernetics Norbert Wiener (1894-1964) crossed paths with many great minds in his life, from Bertrand Russell and G.H. Hardy, to Max Born, John F. Nash Jr. and John von Neumann.
Astrophysics
Kepler’s Laws of Planetary Motion
The laws of planetary motion.
Analysis
A Curious Observation about Analytic and Harmonic Functions
Their zeroes have opposite properties
Electromagnetism
Electricity, Gravity and Statics
Electrogravitostatics
History
The Great Purge of 1933
How Nazism Destroyed Science in Germany
Physics
Is it time to retire Newton’s Gravitational Constant?
Mathematical operations that involve Newton’s gravitational constant are extremely counter intuitive at the subatomic level.
Quantum Mechanics
What is Wave-Particle Duality?
Why we need quantum physics.
History
The Mathematical Center of the Universe
The inception of quantum mechanics can essentially be traced back to a single “Golden Age” in the mid-1920s at one university: the Georg-August University of Göttingen, in the city of Göttingen in Germany.