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We consider the gravitational effect of quantum wave packets when quantummechanics, gravity, and thermodynamics are simultaneously considered. Under theassumption of a thermodynamic origin of gravity, we propose a general equationto describe the gravitational effect of quantum wave packets. In the classicallimit, this equation agrees with Newton's law of gravitation. For quantum wavepackets, however, it predicts a repulsive gravitational effect. We propose anexperimental scheme using superfluid helium to test this repulsivegravitational effect. Our studies show that, with present technology such assuperconducting gravimetry and cold atom interferometry, tests of the repulsivegravitational effect for superfluid helium are within experimental reach.

Repulsive gravitational effect of a quantum wave packet and experimental scheme with superfluid helium