RE: Sean Carroll's everyday equation.
July 23, 2016 at 5:53 am
(This post was last modified: July 23, 2016 at 5:59 am by Alex K.)
Now, this was the description of quantum gravity. The remaining terms in the square bracket describe the standard model of particle physics.
It turns out that one can give a mathematical expression for all the particle fields of the standard model called the "action", which plays a similar role as the curvature R, but for the other fields rather than spacetime. For example, (part of) the second expression F_mu nu F^mu nu , in the case of electromagnetism, is simply the electrical field squared minus the magnetic field squared once you disentangle the formalism. It turns out that if you average over all possible field values but weighted with a complex number whose angle is given by that number El.Field^2-Mag.Field^2, what remains after all else cancels out, are none other than the solutions to Maxwell's equations. Again, the other stuff doesn't cancel out exactly, and that's why photons have quantum superpositions and fuzzyness.
The remainder of the square bracket does the same, but for all the other fields, the fermions (yielding the Dirac equation) and the Higgs (yielding the Klein Gordon equation)
It turns out that one can give a mathematical expression for all the particle fields of the standard model called the "action", which plays a similar role as the curvature R, but for the other fields rather than spacetime. For example, (part of) the second expression F_mu nu F^mu nu , in the case of electromagnetism, is simply the electrical field squared minus the magnetic field squared once you disentangle the formalism. It turns out that if you average over all possible field values but weighted with a complex number whose angle is given by that number El.Field^2-Mag.Field^2, what remains after all else cancels out, are none other than the solutions to Maxwell's equations. Again, the other stuff doesn't cancel out exactly, and that's why photons have quantum superpositions and fuzzyness.
The remainder of the square bracket does the same, but for all the other fields, the fermions (yielding the Dirac equation) and the Higgs (yielding the Klein Gordon equation)
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
