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The Collision Spectrum

The Collision Spectrum

Here is a sentence I would not have believed five years ago.
March 2026
Alex Petty
The Collision Transform

The Collision Transform

Take the collision periodic table. Forty signed integers in base $10$, computed
March 2026
Alex Petty
The Collision Invariant

The Collision Invariant

Take a prime, any prime. Do long division by it in some
March 2026
Alex Petty
The Collision Spectrum and the L-Function Landscape

The Collision Spectrum and the L-Function Landscape

For five years I had been watching the collision invariant do things
March 2025
Alex Petty
The Spectral Repulsion

The Spectral Repulsion

I knew the collision invariant and the prime distribution were avoiding each
January 2025
Alex Petty
The Double Transversality

The Double Transversality

A quick recap for anyone just arriving. The collision invariant is a
October 2024
Alex Petty
The General Neutrality Theorem

The General Neutrality Theorem

The neutrality theorem proved that the prime $3$ controls the cancellation below
July 2024
Alex Petty
The Neutrality Theorem

The Neutrality Theorem

The collision transform and the critical strip ended with a discovery I
April 2024
Alex Petty
The Collision Transform and the Critical Strip

The Collision Transform and the Critical Strip

The centered collision sum converges at $s = 1$, the boundary where the
January 2024
Alex Petty
The Collision Periodic Table

The Collision Periodic Table

Here is a fact I find genuinely beautiful. Every prime number past
December 2023
Alex Petty
The Centered Collision Sum

The Centered Collision Sum

In the collision fluctuation sum I added up the collision deviations across
October 2023
Alex Petty
The Collision Fluctuation Sum

The Collision Fluctuation Sum

I added up the collision deviations for the first hundred primes past
April 2023
Alex Petty
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