Quantum Physics
Spin, scattering, exclusion, and atomic transitions derived from quaternion algebra
PAPER I · 2026
The State Quaternion
Describing Elementary Particles as Quaternions
Elementary particles described as quaternions — a unified algebraic state object capturing their fundamental properties.
PAPER II · 2026
The Pauli Exclusion Principle from Quaternion Algebra
A Derivation Without Spin Statistics
The anti-commutativity of quaternion multiplication — ij = −ji — means two identical fermions exchanging positions produce a wavefunction that is its own negative. Exclusion is not a postulate; it is quaternion arithmetic.
PAPER III · 2026
The Quaternion Quantum Leap
Atomic Transitions and Spectral Lines from Quaternion Geometry
The “quantum leap” emerges as a rotation on the quaternion 3-sphere rather than a mysterious discontinuity. Discrete energy levels and the Rydberg formula follow from the algebra’s rotational symmetries — no adjustable parameters.
PAPER IV · MAY 2026
The Quaternion Sphere
Scattering, Spin, and the Electron from Algebra Alone
Scattering cross-sections, the electron’s magnetic moment, and pair-creation threshold energy — all derived from the geometry of the unit quaternion sphere and octonion multiplication alone, with no prior physical theory.