The harmonic oscillator is everywhere
Why one differential equation shows up in pendulums, circuits, molecules, and quantum fields — and why nature had no choice.
Aug 2, 2026physics
Why one differential equation shows up in pendulums, circuits, molecules, and quantum fields — and why nature had no choice.
How hanging a sequence on a power series turns recurrences into algebra — with Fibonacci as the demonstration.
The bishop's one-move checkmate against mind-independent objects — and the quiet equivocation that undoes it.
A market for bets is a distributed machine that pays people to feed it information — and its price is the output register.