The Fourth permits no such thing. The only thing it permits is protection from unreasonable search and seizure. The Constitution doesn't dictate the specific crimes, statutes (etc...) what you can and can't arrest for (except Treason), that's case/common law. Possibly an arrest for a simple misdemeanor charge or small monetary value and/or fine, hasn't made it's way to the U.S. Supreme Court as of yet for a violation of the 4th.
Again, as I said before...just because the law gives the police a hammer, does not mean they should swing it. In this guys case, all that was necessary was a pen, a pen to write him a summons to appear in court or write a ticket. (again, from the facts given, that is my opinion...I would like to know more).
For you to say that it's not unreasonable, is clearly speculative; just the same as me saying it is.... notice how I use "probably". I'm sure the Framers didn't speculate loud audio systems and noise coming from said as being a crime.

