After reading some of the science on auditory perception it seems you are wrong. If you perceive a signal in the left ear and then get a louder signal on the right ear a few milliseconds later you will perceive this as one sound coming from the right. The precedence effect breaks down.
Edit: I can also tune a guitar by plucking two strings at once, but I can't by plucking them one at a time.
This really has nothing to do with noticing the absence or presence of a 3ms latency difference in a situation where your baseline is already dozens of ms of latency in the best case.
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Can you tell direction of a sound just by turning your head? Congrats, you can detect the difference of less than 1ms.
After reading some of the science on auditory perception it seems you are wrong. If you perceive a signal in the left ear and then get a louder signal on the right ear a few milliseconds later you will perceive this as one sound coming from the right. The precedence effect breaks down.
https://en.m.wikipedia.org/wiki/Precedence_effect
With simultaneously present signals...
Edit: I can also tune a guitar by plucking two strings at once, but I can't by plucking them one at a time.
This really has nothing to do with noticing the absence or presence of a 3ms latency difference in a situation where your baseline is already dozens of ms of latency in the best case.