Those waves would be Higgs bosons …
More like breaking waves than, since there's a collapse (bang/particle) that emerges out of it?
They are not gravity waves on the surface of an ocean, that analogy does not make sense.
… We know the extremely short lifetime of Higgs bosons.
Do 'we' know this from experience or from predictions?
Ok, so currently these *sparks* dim out within the distance of an Atom, what if we start increasing energies and velocities, will these 'breaking waves' erupt further and further from the collision center; and will this be a linear or exponential growth … because that's how the Higgs Field conducts these waves and let's them transform into a particle?
The Higgs boson has a lifetime of about 10^(-22) seconds, the LHC at full luminosity and energy produces about one Higgs boson every 2 seconds. With the high-luminosity upgrade, that might increase to 3.5 per second. In addition, those collisions happen over a volume of ~50µm x 50µm x 5cm, while the Higgs decays before it travels more than a few 10^(-14) meters. You'll never get two Higgs bosons to come together.
And where is the point at all? Every nucleus of oxygen has a nucleus with 8 protons and 8 neutrons (or 24 up- and 24 down-valence quarks, and even more sea quarks and gluons). Do you fear oxygen atoms just because multiple particles of the same type are at the same place?