http://curious.astro.cornell.edu/physics/55-our-solar-system...
Even if the muon-dose theory is true, it doesn't amount to an extinction-level event for a single species. Cancer takes time to develop; sometimes it doesn't. When the muon flux goes away, life would resume as normal. It might contribute to an extinction event already in progress, but that is not the same thing. And there is a lot of if, if, if in this hyopthetical.
Further, specific tissues receiving radiation only increases the risk to those tissues. A sunburn does not increase your risk of lung cancer. Making a x mSv exposure to your lungs less risky than that same exposure to your entire body.
PS: Heavy smokers also don’t start in infancy. If they did they would be dying ~20 years sooner.
Water is a great shield vs most kinds of radiation as is their bulk which means these animals may have significantly lower resistance. Worse they would still be getting ~1SV over 30 years at ~1km below the oceans let alone the few feet of their bodies. Which is vastly above background radiation levels.
Other events, like north and south america coming together changing global currents and weather systems, seem much more likely to cause catastrophe for marine life.
Edit: just looked it up, a sievert is already per mass.
...
They get to the ground, they hit you, and some of them will interact with you, and damage your DNA, Melott said. “They are in a sweet spot for affecting ground-based life.
Shark ... ground based life. Eh?
Are muons attenuated by water?
Well, first of all sharks are famous for being extra-resistent to developping cancer. They are superconservative in its structure and did not changed practically its shape in the last 100 millions of years. If there are a creature that is practically un-mutable are sharks.
Second, the theory claims that big sharks where killed by muons but whales where somehow respected. Why the animals able to find refuge in deep waters (that stop muons) were wiped, but the animals that need to remain in the ocean surface are alive?
Third, trees are also huge organisms, for some reason weren't wiped. Why?
and fourth, big animals trive in Chernobill even with radiation.
I think that as hypothese is interesting but it has a lot of loose ends to explain.