a change the Secretary of Transportation would have the authority to make
Wow, how statist...
The time zone is not determined by the government, but by the consensus of those who use time. Everybody has the right to come up with their own time zone and promote it. If I want I can even divide the day into 30 hours and use that with my friends to sync a meet up with them. It's very likely my local merchants etc. will not join the bandwagon, and I have no right to force it upon them.
Just like I have the right to change the rules of chess and play by them with those who want to play along. Or change the meaning of words in English. Or, indeed, fork Bitcoin.