The Electron as the Ground State of Nature

Abstract

Every electron in the universe is exactly like every other: the same mass, the same charge, the same spin. No electron has ever been seen to decay, or to reveal an inner structure. Two heavier copies of it exist — and only two. Every electron has a mirror twin — the positron, of exactly equal mass and exactly opposite charge. And every electron somehow senses an electric field and falls toward the nearest proton. Since 1897, physics has treated these as six separate mysteries, answering some in fragments and others not at all. This paper assembles, within Grand Geometric Theory, a single answer: the electron is the unique ground state of its sector of the boundary of a six-dimensional geometry. Identity and its measured values, absolute stability, the two excited copies that terminate at three, the absence of substructure at any scale, the response to fields, and the mirror twin are derived as six faces of that one fact — with every step that remains conjectural fenced by name, and the standard fragments credited where they are real. It is written as a review, for the reader beginning graduate study who noticed these questions and was told to move on. After all, the most common particle of our existence deserves more than six separate accidents; it deserves to be the theorem the other facts were always pointing at.