Is Quantum Field Theory and General Relativity Theory mutually exclusive?

  • Thread starter sujoykroy
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Does Quantum Field Theory and General Relativity Theory predict anything which is mutually exclusive? This question came up to me as i was thinking about why there was/is apparent rivalry/debate between the proponents of these two theories.

As far as i understood, Universe(or Multiverse) is made of fundamental particles of several kinds. The particles differs by properties like spin, mass, charge, color etc. Particles of different kind or same kind interact with each other in some ways. Particles can clump together or burst out from a clump based upon these interactions.

Quantum Field Theory tries to find out natural law governing these interactions. And General Relativity Theory attempts to build up natural law governing motion of clumps with respect to one another.

This way of thinking lead me to two mutually exclusive ideas. viz.

A) Motion of any particle-clump with respect to any other particle-clump involves interaction of some particles between the two clumps. I guess, this is QFT way of thinking and demands the presence of Graviton particle. This also makes GRT as one of many special cases of QFT.


B) There exist motion of some particle-clump with respect to some other particle-clump which does not involve exchange of any particles among them. In this case, a particle-clump moves because of interaction of it's constituent particles within some confinement, which doesn't intersect the confinements of the other particle-clump. This makes motion of these clumps, in this special case, be governed by only geometrical law, a different point of view. I guess this is what GRT does. This makes GRT a space-time geometry theory not necessary but sufficient to predict motion of non-interactive clumps, and is not required when particle-clump touches or interacts with the reference clump, because then motion stops by defintion. In other words, if we find any case where GRT works, that would mean there is no exchange of particles among the participants. But, this way of thinking can be tested for validity. If there is a motion of particle-clumps that satisfies GRT, but involves exchange of particle among themselves, then this (B) idea will become invalid, making (A) valid.

But even though these two above ideas are mutually exclusive, they both make GRT a special case of QFT, although of different kind. This made me thinking that there is no confliction between QFT and GRT.

My knowledge is certainly limited, specially in String Theory and Loop Quantum Gravity. So, i don't know if my way of thinking is utterly absurd, hence i am asking help from masters to enlighten me or at least to give hint for that :)

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