Thoughts on various things. Views are my own.
An introduction to Riemannian geometry and the mathematics of curved space: manifolds, metric tensors, curvature, geodesics, and covariant derivatives.
The Schwarzschild solution explained visually: how mass curves spacetime, why gravity is the curvature of time, and how orbits and bending light are geodesics of general relativity.
A visual, interactive derivation of 3D Gaussian Splatting: radiance fields, the volume rendering integral, NeRF, and how splatting renders photoreal scenes in real time.
Classical probability says every digit should appear equally often. It is spectacularly wrong. The digit 1 leads roughly 30% of all real-world numbers — and the same law that explains why is also what catches financial fraud.
An AI's first answer is shaped like the right answer before it has the substance. The night before a USGA qualifier, I asked Claude for a pin sheet — and learned where the bluff actually lives.
A question that started with selfies and somehow ended with mortality, meaning, and the realization that some of the smartest people who ever lived didn't arrive at an answer either.
Trusted execution environments promise cryptographic proof that an AI model hasn't been tampered with. Here's how they work, with a live simulation you can verify yourself.
A qubit is not 'both 0 and 1 at once.' It is a precise mathematical object, and its geometry fits on the surface of a sphere.
If a qubit state is a point on the Bloch sphere, a quantum gate is a rotation. Unitarity tells us which rotations are allowed. The Hadamard is the most important one.
The golf ball flight laws explained: how face angle and swing path combine to produce all nine ball flights, and what Tiger's 9-window drill teaches about controlling them.