A paper today takes seriously the idea that "at large scales", gravity is scale-invariant.
My notion has been that conformal symmetry is broken only inside what we now call "dark matter halos". And it is tempting to suppose that the Higgs boson is the dilaton, the goldstone boson of broken scale symmetry.
But wouldn't those two hypotheses somehow imply that electroweak symmetry is unbroken in intergalactic space too; and wouldn't that screw up the propagation of light?
Even if every little whorl of intergalactic gas inhabits its own bubble of spontaneously broken conformal symmetry, the fact that we can see the distant galaxies seems to imply that photons can survive the journey through the scale-invariant regions of space. And I don't know if that makes sense.
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