The Collision Periodic Table

Here is a fact I find genuinely beautiful. Every prime number past

The Collision Spectrum

Here is a sentence I would not have believed five years ago.

The Collision Transform

Take the collision periodic table. Forty signed integers in base $10$, computed

The Collision Invariant

Take a prime, any prime. Do long division by it in some

The Neutrality Theorem

The collision transform and the critical strip ended with a discovery I

The Collision Transform and the Critical Strip

The centered collision sum converges at $s = 1$, the boundary where the

The Centered Collision Sum

In the collision fluctuation sum I added up the collision deviations across

The Collision Fluctuation Sum

I added up the collision deviations for the first hundred primes past

Silent Primes

Sit down at a desk with a sharpened pencil, a sheet of

The Character Structure of the Collision Fluctuation

$\log \log x$. Take any number $x$. Compute its logarithm. Then compute

Bin Derangements and the Gate Width Theorem

Forget the prime Nine. At every prime in base ten, this is

Phase-Filtered Ramanujan Sums and the Spectral Gate

Take a small prime, ask nfield for the loop of $1/p$