Assume that two entangled quantum particles of equal mass ‘m’ are brought to the opposite sides of a massive gravitating object of mass ‘M’ as shown in Figure 1. Let the distance between the massive object and the particles on both sides are exactly equal. Also assume that the massive object is absolutely neutral in terms of electric charge.

Since the massive object is neutral in terms of electric charge, the only possible interaction between the particles and the object would be due to gravity. Since both the particles are placed at same distance from the object, the gravitational force on the particles will be same and act in opposite directions simultaneously. However, it is to be noted that these two particles are entangled (in quantum mechanical sense) before bringing them in the vicinity of the massive object.

In such situations, I suspect that there will be a pseudo force on both the particles acting exactly opposite to the direction of gravitational force as shown in Figure 1. This is because the gravitational force acting on the particle on one side will eventually cause a force on the particle on the other side in the exact opposite direction due to their entanglement with each other. This proposed pseudo force acting on the particles will completely neutralize the effect of gravity on the particles causing a dynamic equilibrium and a motionless state. 

Hence it seems possible that gravitational effects can be neutralized using quantum entanglement.

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