Testing the Dirac equation

Abstract

The dynamical equations which are basic for the description of the dynamics of quantum felds in arbitrary space--time geometries, can be derived from the requirements of a unique deterministic evolution of the quantum fields, the superposition principle, a finite propagation speed, and probability conservation. We suggest and describe observations and experiments which are able to test the unique deterministic evolution and analyze given experimental data from which restrictions of anomalous terms violating this basic principle can be concluded. One important point is, that such anomalous terms are predicted from loop gravity as well as from string theories. Most accurate data can be obtained from future astrophysical observations. Also, laboratory tests like spectroscopy give constraints on the anomalous terms.

11 pages. to appear in: C. Lämmerzahl, C.W.F. Everitt, and F.W. Hehl (eds.): Gyros, Clocks, Interferometers...: Testing Relativistic Gravity in Space, Lecture Notes in Physics 562, Springer 2001

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• Quantum-Gravity Phenomenology: Status and Prospects
• On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
• Space-time quantum solves three experimental paradoxes
• Principles of Equivalence: Their Role in Gravitation Physics and Experiments that Test Them
• On alternative approaches to Lorentz violation in loop quantum gravity inspired models
• Detecting a logarithmic nonlinearity in the Schrödinger equation using Bose-Einstein condensates
• Fundamental physics in space: a Quantum-Gravity perspective