Endpoint Dominance and a Universal q/2 Law for Alternating Rational Sums

A short proof showing that alternating rational sums have a universal growth law independent of the shift parameter, with cancellation explained through Euler–Boole summation and confirmed by numerical experiments.

IMPORTANT: This document contains AI-assisted mathematical exploration. The research direction, hypotheses, and numerical experiments were generated and performed by the author. A large language model was used to assist with symbolic derivations and drafting text. Mathematical correctness is not guaranteed; this document represents exploratory AI-assisted research. This upload is part of an experiment on whether large language models can produce research-level mathematical content under guided direction. Expert feedback and verification (positive or negative) are welcome and will be incorporated into future revisions.