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How to Demonstrate Quantum Superposition of Classical Gravitational Fields?

Matti Pitkänen

Abstract


Marletto and Vedral have proposed that it might be possible to test experimentally whether gravitational field is quantized.  Authors claim that weak measurements giving rise to analog of   Zeno effect could be used to test whether the quantum superposition of classical gravitational fields (QSGR) does take place. One can however argue that the extreme weakness of gravitation implies that other interactions and thermal perturbations mask it completely in standard physics framework. Also the decoherence of gravitational quantum states could be argued to make the test impossible. In TGD, however, situation might change. In zero energy ontology (ZEO) the sequence of weak measurements  is more or less equivalent to the existence of self-identified as generalized Zeno effect. The value of heff/h=n characterizes the flux tubes mediating various interactions and can be very large for gravitational flux tubes at their ends. This means long coherence time characterized in terms of the scale of causal diamond (CD). The  lifetime T of self is proportional to heff so that  for   gravitational self T is very long as compared to that for  electromagnetic self. Selves could correspond sub-selves of self identifiable as sensory mental images so that sensory perception would correspond to weak measurements and for gravitation the times would be long: we indeed  feel the gravitational force all the time. Consciousness and life  would provide a basic proof for the QSGR.

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