Assuming the test is 100% accurate, could you be incubating the virus (such that it wouldn’t show up on the test at that stage)?
Yes yes yes (I am qualified to answer).
The general opinion is that you are very unlikely to test negative AND be infectious to others, though. Neither in that moment and in the very near future, so might be safely not infectious for next 36 hours or so. This opinion is based on both observations of real-life transmission chains and theory (understanding how transmission happens).
Honestly I can't keep up with latest, but months ago there was a good study showing the viral load in throat became detectable about 36 hours before symptoms started, and peaked about 12 hours before symptoms started. Majority view is that without coughing or spluttering, this silent-high-viral load person still seems highly unlikely to pass it on.
Some people are talking about airborne & aerosols: these are on a probability distribution with droplet transmission at one end and airborne at the other. The vast majority of covid transmissions must be via droplets; if droplet transmission is well controlled, transmission from the other types will decline sharply too. It makes sense to worry first about controlling the main transmission pathway.
Low risk is not = Absolute zero risk. There's no proper discussion going on about acceptable levels of risk.