In “Take Me Out to the Holosuite”, captains Sisko and Solok form teams of their own crewmen and play a baseball game in one of Quark’s holosuites. Unlike most Holosuite programs, the real people involved are extremely spread out, with Rom (in the stands behind home plate) and Dax (climbing the center field fence) at least 450 feet apart at one point, with the dugouts roughly 200 feet apart along the opposite axis. We see the interior of various holosuites in prior episodes and they are nowhere near that large. Does Quark really have close to 100,000 square feet worth of holosuites, or does the holodeck have some special tricks to deal with this sort of situation?
I guess that could work if the holosuites either project a simulation of people/foreign objects once they get farther away in the simulation than in reality. Or, if it can do some really clever lensing magic with force fields to make the real world people and objects seem closer or further? That’s plausible, and maximizes the “reality” of what people are seeing.
This is the way I imagine it too, basically everyone gets divided up into their own little cubicles, with them essentially running on treadmills, every player gets their own view projected to them, and the physical ball is most likely ‘cloaked’ by the holograms, with force fields moving it around as needed through the various ‘cubicles’.