AAWSAP DIRD, The Space Communication Implications of Quantum Entanglement and Nonlocality, March 2010

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However, emerging from work on quantum gravity offers the possibility of an explicitly
nonlinear form of quantum mechanics that reduces to linear quantum mechanics in the
limiting case of weak or no gravity. Using the wave picture, it is possible to formulate a
Laplace-Beltrami wave equation for gravitationally curved space. The Laplace-Beltrami
operator on the left-hand side contains information about the space-time geometry (the
metric tensor) and operates on the wave function. On the right-hand side is the same
term found in the flat space Klein-Gordon wave equation. In flat space (no gravity), this
"curved-space" wave equation reduces to the Klein-Gordon wave equation, but in
curved space it is nonlinear in a way that could facilitate nonlocal communication. Thus,
in an environment where strong space curvature is expected-for example, the vicinity
of a neutron star or black hole-sufficient quantum nonlinearity may exist to facilitate
nonlocal communication .
XIII. Conclusion
Ultimately, the question of whether nonlocal communication is possible is an
experimental one. The issue should be resolvable by testing for nonlocal communication
and observing what experimental limits appear. In particular, are the limits of
coherence/entanglement complementarity so severe as to preclude signaling? Currently
at least one experiment in progress aims to produce a coincidence-free version of the
Ghost Interference experiment. We await the outcome of such tests.
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