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Quantum tests of the foundations of general relativity

Claus Lämmerzahl

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A new test theory for describing tests of fundamental principles of special and general relativity is presented. Using a generalized Pauli equation which may be based on a generalized Dirac equation, possible violations of local Lorentz invariance and local position invariance on the quantum level are described. On the quantum level there are more possibilities to violate these principles than on the classical level. The corresponding terms can be tested by Hughes-Drever-type experiments or by atom interferometry. It is proposed that an atom interferometric test of local position invariance will give a three orders of magnitude improvement over existing estimates.


PACS

04.80.Cc Experimental tests of gravitational theories

03.30.+p Special relativity

03.65.Pm Relativistic wave equations

03.75.Dg Atom and neutron interferometry

11.30.Cp Lorentz and Poincare invariance

MSC

83A05 Special relativity

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

83Cxx General relativity

Subjects

Quantum gases, liquids and solids

Gravitation and cosmology

Particle physics and field theory

Quantum information and quantum mechanics

Dates

Issue 1 (January 1998)

Received 30 December 1996, in final form 1 September 1997



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