standard model - How does Higgs field relate to Aether theories?

I am an amateur learning about the Higgs because I was interested in what the LHC's purpose is.

I read that as a particle passes through space, it is actually passing through a Higgs field and there are little Higgs particles that accumulate on the moving particle, which is where mass and momentum come from.

But that's where my main question comes from:

This all sounds similar to a "medium"; and mediums usually impart resistance on particles moving through them so the particles would slow down even in space. As far as I know, this is the reason why aether/ether theories don't work.

Please let me know.

Answer

The Higgs ether does not pick out a preferred velocity--- it is the same in all reference frames. Because of this, it can't impart a resistance to velocity, since any velocity is symmetric with any other. There is no Higgs drag. But it can impart a resistance to change in velocity, and this is a change mass. The most important thing is that it allows different helcities of fermions, which would be necessarily massless, to join up in pairs to make massive fermions.