December 30th, 2011 in Samoa

On December 29th, 2011, the country of Samoa, which is in the middle of the Pacific Ocean, was on the east side of the International Date Line in the UTC-11 time zone. In order to better facilitate trade with Australia and New Zealand, Samoa announced it would be switching to the UTC+13 time zone, moving it to the *west* side of the International Date Line. This took effect as the clock struck midnight on what would've been December 30th, 2011, immediately launching Samoa 24 hours ahead to midnight of December 31st, losing them an entire day. That is to say, **December 30th, 2011 never existed in Samoa.**

If one had the DeLorean in Samoa, and set the time circuits to December 30th, 2011, and accelerated to 88mph with a fresh vial of plutonium loaded up, what would happen? How does the DeLorean translate times and dates into tangible units of time when times and dates are purely social constructs? By what standards does it follow?