Can virtual produce anti-gravity?

wangyi
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Perhaps it is a stupid question, but really confuses me.
In QFT, virtual particles can be produced from vacuum, say, (M,0,0,0) and (-M,0,0,0)
In Einstein's theory, if we consider the (-M,0,0,0) virtual particle, make it's energy-momentum tensor and solve the Einstein equation, and take the limit of weak field, we find the potential it produces for other real particles is positive, so it gives a exculsive force.
Is it right? if so, can the negative-energy particle fall into the black hole? because if the negative energy particle has anti-gravity, it can never go into a place that have infinity high potential energy.

Thank you!
 
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When a particle-antiparticle pair is created from vacuum both have positive energies. However, there is a heuristic way to explanation Hawking radiatio invoking negative energies viewed by observers at infinity (I remember I read something in Schutz). Anyway, consider a particle of negative energy at the event horizon. The force between the black hole and this particle would be repulsive. However, since the particle has a negative (inertial) mass, it would accelerate in the contrary direction to the force and it would fall into the black hole.
 


No, virtual particles cannot produce anti-gravity. Virtual particles are not real particles, they are a mathematical concept used in quantum field theory to describe the interactions between real particles. They do not have physical properties such as mass or energy, and therefore cannot produce anti-gravity. The concept of negative energy particles is also a theoretical concept and has not been observed in experiments. It is important to remember that theories and mathematical equations are models that attempt to explain and predict the behavior of the physical world, but they are not the same as the physical world itself. So while it may seem confusing, it is important to distinguish between theoretical concepts and actual physical phenomena.
 
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