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If you mean a logfile for every file on your system....
hmmm
You need something like tripwire.
Can't help you there.

So, will the names of the log files follow a timeline? like the date/time of the test? or will they inherit the names of the added files?
Or are you going to be watching certain directories and...

Is this anything close to what you want?
log0=/tmp/changes.log

diff -r <(ls -1 $1 | sort) <(ls -1 $2 | sort) > /tmp/junk0

if [ ! -z /tmp/junk0 ]; then
>$log0
printf "Dirs %s and %s...