Gravitons & Inertia: Do They Cause Each Other?

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SUMMARY

The discussion centers on the relationship between gravitons and inertia, specifically questioning whether gravitons cause inertia. Participants argue that while gravitational mass and inertial mass are equivalent in General Relativity, it is more accurate to attribute inertia to the Higgs Boson rather than gravitons, which mediate gravitational forces over distances. Two significant papers by Steven Weinberg are referenced, demonstrating the connection between gravitational and inertial mass through quantum theory and the S-matrix's Lorentz invariance.

PREREQUISITES
  • Understanding of General Relativity
  • Familiarity with quantum field theory
  • Knowledge of the Higgs Boson and its role in mass generation
  • Basic principles of the S-matrix and Lorentz invariance
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  • Research Steven Weinberg's papers on gravitational and inertial mass
  • Study the implications of the Higgs mechanism in particle physics
  • Explore the quantum theory of massless spin-2 particles
  • Learn about the S-matrix and its role in quantum field theory
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Physicists, students of theoretical physics, and anyone interested in the fundamental forces of nature and the interplay between gravity and quantum mechanics.

Usaf Moji
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Among those who believe in gravitons, is it believed that gravitons cause inertia? This would seem logical to me since gravitational mass is, as far as we can tell, the same as inertial mass.
 
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Gravitational mass and inertial mass are equivalent under the weak argument of General Relativity. Graitons are supposed to mediate the force of gravity on long distances, whilst inertial mass itself is strictly provided by a Higgs Boson.

Would it not be better to say a Higgs provided inertia rather than a graviton, who's job is to send quantum force signals over distances?
 
There are two old papers by Weinberg in which he demonstrates that the quantum theory of a massless spin-2 particle gives you GR so long as you impose the condition that the S-matrix is Lorentz invariant, plus one other condition in each paper. I can't follow all of the arguments, but in case you can:

Weinberg, S;Phys Rev. vol 135, 1964;
-Makes additional assumptions about the pole structure of the S-matrix to demonstrate the equivalence of gravitational and inertial mass.
Weinberg, S;Phys. Lett. vol 9, 1965
-Uses perturbation theory to derive Einstein's equations under the additional assumption that effectively helicity =[tex]\pm[/tex]spin for massless particles.

To boot, he also treats electromagnetism in each, showing the conservation of charge and deriving Maxwell's equations under the same assumptions, but assuming instead the existence of a massless spin-1 particle.
 

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