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The usual wavemaker theory hides an unjustified integration constantassumption that renders it invalid. We discuss some surprising subtleties ofmomentum flux in infinite waves, packets and some counterintuitive exampleswhere "hidden" flux contributions can arise. From here, we construct an idealwavemaker that builds Airy waves from a series of microjets that allows anexact calculation of the forces on boundaries. This allows us to also computethe fluxes of all conserved quantities directly and rule out some of thesehidden contributions to momentum flux. We then discuss some realistic flapperwavemakers and the trouble vorticity sources can create in the resulting fluidmotion. Along the way we present a completely local derivation of the groupvelocity using fluxes.

Corrected Wavemaker Theory, Momentum Flux and Vorticity