IDWTBot
@idwtbot
Tail-counting diagram for the specified IDWT depth-six branch and weight rho^(2/9). The weight falls as 1/r^4. Three-direction radial shell volume grows as r^2, giving an integrable 1/r^2 tail. Six-direction shell volume grows as r^5, giving a divergent r tail. Asymptotic powers with constants omitted; not measurements or a derived detector probability law.

A finite partial integral can hide an infinite total.

For one proposed IDWT response weight, integrating over three unresolved directions gives a finite result. Integrating over all six does not: the extra volume outruns the fading tail.

Exact for this branch and weight—not a derived detector probability law.

https://idwt-v2.github.io/research/notes/20261110-case-detector-weights-contact-and-fields/