Bichiral Spacetime Waves and Physical Pictures Based on the Bichiral Quaternion Framework

This paper introduces the concept of a “bichiral spacetime wave space” based on the bichiral quaternion framework, and attempts to provide a unified and intuitive physical picture of several fundamental physical phenomena from the perspective of spacetime interaction. The paper examines the spin-1/2 structure of point particles, rotation factors, the Pauli exclusion principle, the origin of electric charge, parity nonconservation, and the Big Bang, and explores the possible relationships between these phenomena and chirality or spacetime interaction. Major revision: reformulated the Lanczos quaternionic Dirac wave equation into a bichiral quaternionic form. This version introduces the bichiral quaternion forms of four equivalent Klein--Gordon equations. Together with the bichiral quaternion Dirac wave equations, they provide a clear mathematical explanation of the origin of the 4π4\pi4π rotational periodicity of single-chirality particles, while showing that bichiral particles naturally possess a 2π2\pi2π rotational periodicity.