On the proof of Falconer distance conjecture

Abstract

We are able to catch the main idea from OpenAI's recent release and present a proof of Falconer distance conjecture in our own words. Arguments are judiciously simplified and carefully designed for graduate-level readers.

arXiv comment20 pages, 5 figures, carefully written for graduate-levels. The first draft was hand-typed (40% left-handed + 60% right-handed as the corresponding author injured his left wrist at page 15). LLM then came in for proofreading and making figures