The Composite Interleaving

Does the collision spectrum of a composite factor through its primes? It

The Collision Spectrum and the L-Function Landscape

This is the paper where everything connects. The collision spectrum factors into

The Spectral Repulsion

The collision spectrum and the prime spectrum don't just avoid

The Double Transversality

The collision spectrum and the prime spectrum avoid each other. Not once.

The General Neutrality Theorem

The neutrality at mod 3 is not special. It happens at every

The Neutrality Theorem

The centered sum converges at $s = 1$. But why? The cancellation is

The Collision Transform and the Critical Strip

The centered sum converges at $s = 1$. What about below? The strip

The Centered Collision Sum

The prime number theorem gives an asymptotic formula for the count of

The Collision Transform

Everything before this was about one prime at a time. This paper

The Collision Fluctuation Sum

Sum the collision deviations over primes. Weight each by $1/p$. Watch

Silent Primes

Some primes produce zero autocorrelation at a given lag. No digit matches

Phase-Filtered Ramanujan Sums and the Spectral Gate

The autocorrelation vanishes at exactly $b - 1$ lags. Those are the