The Higgs boson interaction gives mass to matters according to standard model. Does that represent the reason of space time curvature in general relativity?
Dear Robert
Even if Higgs boson is related firmly to special relativity but this can be considered as an approximation to the more general case which is working with curved space time. This is logical because Higgs boson worked with mass and mass is related to curvature of space time. Isn't it?
Dear Robert
Thanks for your link, Nevertheless I think there is big gap between the two primary theories in physics which are general relativity and the standard model. I think there may be some faults in one of them or both that make the unification hard to reach.
Just as the electromagnet field (or, more generally, the nonabelian gauge fields) can be viewed (as in the Kaluza-Klein approach to unification) as the projection of tangential components along the isometry group of the metric field in a higher dimensional pure metric geometry, and which appear as gauge field part of the Einstein-Yang-Mills action functional on the quotient space, so the Higgs field may be viewed as the residual tangential components of a pure gauge field that is invariant along the orbits of a symmetry group in higher dimensions, and appear as the Higgs part part of the Yang-Mills-Higgs action functional on the quotient space.
The (unstable) symmetric critical points correspond, in the case of orbits that are Riemannian symmetric spaces, to the canonical left or right invariant connections on the orbits while the asymmetric stable critical points correspond to extensions of the homomorphism from the stability subgroup into the gauge group to one from the entire symmetry group to the gauge group, These are the "Higgs vacua", defining the spontaneous symmetry breaking that gives rise to the mass of the scalar and vector fields. The process, both in the Kaluza-Klein (gravity/elecromagetism) case, and the Higgs (gauge/Higgs) case is called "dimensional reduction".
This is a bit out of my league, but here goes.
I did some work on an internally consistent physics model to introduce complex topics from other fields of physics to undergraduate students in an intuitive manner.
Here is a link to the paper, still needs work, not complex physics, but a fairly extensive model.
http://www.academia.edu/1118589/Undergraduate_Thesis_A_relativistic_quantum_model_of_atomic_structures_from_particles_to_the_atom_
Going back to Maxwell's original equations, the Higgs would be the Mass particles formed out of the vacuum energy along with charged particles, in the manner he described the process for the photon, which is the same for pair-production with quantum spin determining particle types formed. Granted I have not looked at the Higgs in this model yet.
I tried to deal with curved space-time with the section on Lattice theory, but a bit to complex for an undergrad to grasp intuitively I think. It is a work in progress.
While not an ideal way to describe the Higgs in general relativity, it should be a descent introduction in a more general science course.
We still do not know how to unify quantum mechanics with gravity.
General relativity is a theory of gravitational interactions and
standard model is a quantum field theory. That is the essential
problem. In supergravity theories gravity is unified with standard
model, but as a bridge over troubled waters, there is the
supersymmetric standard model. Physicists are searching
superparticles at LHC. Then a supersymmetric version of
standard model can be well established. In that case one can hope
to embed MSSM in a supergravity theory.
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