Quantum Mechanics of the electron particle-clock

Abstract

Understanding the electron clock and the role of complex numbers in quantum mechanics is grounded in the geometry of spacetime, and best expressed with Spacetime Algebra (STA). The efficiency of STA is demonstrated with coordinate-free applications to both relativistic and non-relativistic QM. Insight into the structure of Dirac theory is provided by a new comprehensive analysis of local observables and conservation laws. This provides the foundation for a comparative analysis of wave and particle models for the hydrogen atom, the workshop where Quantum Mechanics was designed, built and tested.

References in corpus (4)

• Implications of Lorentz covariance for the guidance equation in two-slit quantum interference
• The Pilot-Wave Perspective on Quantum Scattering and Tunneling
• Coulomb oscillation in the hydrogen atom and molecule ion
• Coulomb oscillations as a remedy for the helium atom

Cited by in corpus (5)

• Gravity from Transactions: Fulfilling the Entropic Gravity Program
• Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
• Zitterbewegung structure in electrons and photons
• Testing a Conjecture On Quantum Chromodynamics
• The Relativistic Transactional Interpretation and Spacetime Emergence