What would a sixth physical sense be?

The latest issue of Smithsonian has an article about the discovery of pressure receptors on the jawline of alligators. The “bumps” had been noticed all along, but only recently did a scientist determine that there were nerves directly associated with them, and work to determine just what might be being sensed.

She found that they seem to detect pressure waves in water, allowing the 'gator to find moving prey without resorting to vision, sound, or scent. Arguably a highly specialized form of touch, but apparently contributing directly to the 'gator’s sense of its surroundings in three dimensions.

My psychology professor agrees with you, and I was gong to post that balance is sense #6.

Sense of balance is real, and quite distict from the regular 5.
Sense of time is real, although not always accurate (but neither are the other 5).

You could sense the fart before you got into the elevator.