In the holodeck, this could be easily explained with a complicated array of speakers that produce audio to mimic the visual illusion. However, if two character wander off far from each other in the simulation, the holodeck would have to be able to mask audio as well. Like in the Voyager episode "Fair Haven," we see some characters hang out at the bar while others can wander off to do their own thing. If they were all in the confined space of the holodeck with their own visual illusions to recreate environments, the recreated audio would have to be masked from others in the same room.
This is further complicated by the existence of the Doctor. If he was confined to sickbay or the holodeck, speakers could also explain his speech. But he isn't confined to those areas. He can use the mobile emitter to wander around 20th century Los Angeles, still with the ability to speak and produce audio. So somehow, the use of forcefields would have to be utilized to vibrate air, mimicking something akin to vocal cords. Either that, or I guess the mobile emitter could have its own small speaker, though surely this would be a dead giveaway for the Doctor in 20th century Los Angeles, with a voice originating from his arm rather than his mouth. Or in "Renaissance Man," where the Doctor is able to effectively disguise himself as members of the crew.
This is further complicated by the existence of the Doctor. If he was confined to sickbay or the holodeck, speakers could also explain his speech. But he isn't confined to those areas. He can use the mobile emitter to wander around 20th century Los Angeles, still with the ability to speak and produce audio. So somehow, the use of forcefields would have to be utilized to vibrate air, mimicking something akin to vocal cords. Either that, or I guess the mobile emitter could have its own small speaker, though surely this would be a dead giveaway for the Doctor in 20th century Los Angeles, with a voice originating from his arm rather than his mouth. Or in "Renaissance Man," where the Doctor is able to effectively disguise himself as members of the crew.
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