I would agree in principle. Though if the government is able to obtain said keys from someone other than yourself, they weren't really "private", were they?
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Would this indicate new physics if proven?
Maybe, but it would really shake up the scientific method...
It is an interesting attack, and IANAL, but I'd be curious about the legal ramifications. If I slip a carbon (ah... the way-back machine) in a stack of papers and ask someone to sign the top one without thus informing them, I think my stealth probably invalidates the additional document(s).
You could argue that there's a noticeable difference between pen and carbon -- making the copy hard to enforce -- but I'd argue the digital version is even easier: at least in the PS example, both "copies" of the document need to be present to preserve the hash.
In normal (pen/paper) signature situations, I get a copy of what I signed. The same ought to apply to digital sigs, resulting in a simple legal challenge to the validity of the document.