- Location
- Earth
Short Answer: As long as Mat lets go before disappearing it, she's fine.There's a few types of shrimp that can achieve sonoluminescence without negative effects on themselves. As long as Mathilde isn't hugging the sword to herself while she disappears it underwater it doesn't seem like it should be a problem, though I admit I haven't got the level of knowledge required to sit down and math out the amount of energy an instant vacuum is dumping into the water.
In general, it's a phase transition in a chaotic fluid. Which while technically a physical process, actually happens on the molecular level. The heat of cavitation is hot enough to melt just about anything, and I do mean, anything. It's something like 4.5 - 5k °C. The pressure at the event horizon is also silly and ridiculously loud. But... All the individual events are tiny. The implosion in a fluid isn't like an explosion from a solid. It's a chaotic collapse that produces randomly scattered tiny events. Like a group of fireflies.
In practice, with how heat, sound and shock-waves work, even something like 10cm is safe in terms of heat, and 50-100cm will do you in open water.
Quick Math:
Pressure works on surface area, and that's 4*Pi*r*r. With cavitation events usually smaller than 1mm, 10cm distance means a 125663 surface/power ratio. Which is something like 51 decibels. 100cm makes for 12566370 times less force, or about 71 decibels of difference.
For comparison 1-Ton TNT Bomb makes 210 dB and 140db is fine with hearing protection. This means that if you filled a 1mm ball with the sound of 1-Ton TNT at 100cm it would be no louder than a rock concert, and significantly weaker than a gunshot.
With the size of Mat's sword and this being a flowing river, 120-130 dB tops for the starting event. So Mat probably heard something between the volume of a shout and a vacuum cleaner.