No, the cost is huge. The SHA-1 for the tree with _exactly the same
contents_ will be different, just because f.e you applied a patch one
second earlier than I did, and that's completely insane. Git is purely
a content tracker as has been said numerous times on this mailing
list, and that is for good reasons. If the tree entries change just
because some timestamps are different, the CPU time needed to
generate a diff will grow by a big amount of time.
Atempts to add additional information to the basic git objects have
failed several times, and yours will probably fail too since there are
numerous reasons why you do _not_ want a timestamp in the tree
_and_ there are several workarounds for your problem, which at
least in my opinion seem much less insane than adding timestamps...
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