First Closure: The Phase Transition Origin of CP Asymmetry, Temporal Chirality, and Left-Handedness
Abstract
Three apparently unrelated features of the physical universe — the left-handedness of neutrinos, the excess of matter over antimatter, and the direction of CP violation in B meson decays — have a single geometric origin. The Bootstrap Universe Framework begins from the axiom "I AM I": a self-referential identity that attempts closure. This closure is a phase transition — a rotation attempting to return to identity. The Grandi series (+1 −1 +1 −1 ...) is the real-axis shadow of this rotation: it captures the oscillation but not the direction. The rotation operates in three coupled phases — the three quaternion imaginaries i, j, k — because exactly three phases are required for first closure, derived independently from two directions: the Borwein sinc-product structure (from above) and the Tower series Leibniz dimensional closure (from below), which also yields the fine structure constant alpha^(-1) = 137 as confirmation. The direction of first closure is counter-clockwise — determined by the internal logic of e^(i*theta) with positive theta, not imposed from outside. This single directional event — winding numbers N = (0,0,0) to (1,1,1) across three coupled phases — generates left-handedness, the matter-antimatter asymmetry, and the sign of CP violation simultaneously. They are not three separate phenomena. They are three projections of one geometric event: first closure. Specific falsifiable prediction: sin 2 beta > 0. World average: +0.699 +/- 0.017 (HFLAV 2023). A clockwise universe — equally valid geometrically — would show the mirror signatures. Counter-clockwise achieved first closure first. Everything since is the echo of that.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Algebraic and Geometric Analysis
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 18 February 2026
- Document type
- Preprint