You ask an interesting question about when Shabbos falls around the world and across the seas. I believe Hashem answers the question with the fact that He does not exist in daylight savings time.
It seems apparent that Hashem answered this question with the fact that Shabbos is based on resting on the seventh day from all our work of creation that humans perform in their occupation or business. It seems apparent that Maimonides missed Hashem’s single shabbos work prohibition.
“On the seventh day God finished the work that had been undertaken: [God] ceased on the seventh day from doing any of the work. And God blessed the seventh day and declared it holy—having ceased on it from all the work of creation that God had done.”
The definition of the word מְלַאכְתּ֖וֹ is obviously business or occupation creating work functions to make a living for oneself, and one’s family.
What do you think, Rabbi?
You are bringing up a few different points, and I will respond to them in order.
“I believe Hashem answers the question with the fact that He does not exist in daylight savings time.”
Daylight savings time is the same as regular time, with the mere fact that WE decided to move the hour on the face of the clock. Why would that make G-d not exist then?
Regarding your point that the prohibition to do work is only if it is business related. I take issue with your translation and interpretation of what “work” means. Why do you think that G-d made the world as part of his occupation or business? Maybe it was His hobby, and he made it for the fun of it, or for any other reason that he decided? Secondly, the reason we observe the Sabbath is because it is written in the Torah that we “should not do any work”. G-d didn’t specify that it is only if it is our official business.
Additionally, there is a second reason for Shabbath observance. That is because G-d took us out of Eqypt and slavery, (see Deuteronomy 5 verses 12-16) “and remember tht you were slaves in the land of Eqypt and Hashem your G-d took you out of there with a strong hand and outstretched arm, therefore Hashem your G-d has commanded you to keep the Sabbath”. This surely has nothing to do with resting from business related work, rather to abstain from all work on this day, to show that we recognize that He is the one who took us out of Eqypt.