The Electron Is Round: An Absence, Priced in TeV
The electron, as far as two of the finest instruments ever built can tell, has no electric dipole moment at all. An electric dipole moment — a separation of charge along the electron's spin — would break time-reversal symmetry, and with it CP symmetry, and the known sources of CP violation cannot make one anywhere near large enough to see: the Standard Model's own prediction sits at or below about 10⁻³⁸ e·cm, with modern evaluations nearer 10⁻³⁹ to 10⁻⁴⁰ e·cm. So any dipole the instruments could have seen would have been new physics, signed in the electron's shape. They saw nothing. The ACME collaboration, watching electrons inside thorium monoxide molecules, set |d_e| < 1.1 × 10⁻²⁹ e·cm in 2018. The JILA group, watching electrons inside trapped hafnium fluoride ions held coherent for up to three seconds, tightened the bound to |d_e| < 4.1 × 10⁻³⁰ e·cm in 2023. This paper does one piece of work and prints every assumption it spends: it converts that absence into the new-physics reach it buys, under the standard one-loop scaling, and it prices what the null excludes — generic TeV-scale CP violation, supersymmetric phases at natural size, and room for the new CP violation that electroweak baryogenesis needs. The conversion is a scaling, not a theorem, and it is printed as a range with its structure labels attached, never as a point: the same null reads as a reach of about 125 TeV in the most generous one-loop reading and as a few TeV in two-loop readings, and both numbers are honest answers to different questions. Grade: ABSENCE STANDS — PRICED IN TEV, AS A RANGE. This paper stands outside my work on the vacuum catastrophe; it draws nothing from that work and repairs nothing in it, and it touches no claim of that program.
Authors
- William Alexander Aldred
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-02
- DOI
- https://doi.org/10.5281/zenodo.23925952
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- preprint