Well, you immediately just broke conservation of energy, so you could indefinitely prolong the heat death of the universe.
Or you could speed it up, get it over with.
Considering that some cosmic ray reach energy in the Joule range, it would definitely be very bad.
On the other hand, people would use you as a particle accelerator for research and that's damn cool
how much of a threat it would pose to our current computer systems
A critical threat.
It could change arbitrary data randomly, so the results are undefined and unlimited. Only a super small fraction of data is secured against arbitrary (=unexpected) changes.
So you would have a particle accelerator at your finger tips, for it to emit a low enough power for it to not be harmful to humans you want the radioactivity to be on the small scale. Basically a banana, you would be walking around with a banana in your hand. If we remove the requirement of it not been low powered to not harm humans, then we are talking about an instant cascade of particles coming from your finger in a cone, basically it would fuck everything up in its path
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