collision

The collision invariant and the prime distribution avoid each other across the strip. The avoidance persists at every lag, across every base tested.

Neutrality holds at every odd prime, not just 3. The same reflection identity, the same vanishing, at every scale. The anti-correlation between collision weights and prime sums is universal.

The mod-3 component of the collision transform vanishes. Remove it and the sum explodes. Neutrality is not decorative. It is structural.

The centered sum converges at s=1. Push it below. The penetration depth measures how far into the critical strip the collision signal survives.

Forty integers, determined by the last two digits of every prime past 100. Every complement pair sums to exactly -1. At base 12, the table sorts musical intervals by tension.

Subtract the family bias and the divergence vanishes. The centered sum converges at s=1, and the rate of convergence is controlled by the classical zero-free region.

The collision deviations, summed over primes, drift downward at the Mertens rate. The drift has a sign, a constant, and a structural origin in the digit function.

At seven primes in base 10, the collision count is exactly zero. The recipe that finds them involves the bin partition and a specific floor-function identity.

The collision fluctuation decomposes over Dirichlet characters. Only the odd characters survive, forced there by the complement involution. This is where the algebra begins.