There is an abandoned laboratory on a tropical island. In this laboratory is a calendar that began six years ago, with certain days circled with a red marker and labelled as “shift”. These circled “shift” days occurred once or twice a year at first, but in the last two years the frequency began to accelerate erratically. Soon there were months with multiple shifts, and shifts that lasted for consecutive days. A year ago, the lab was abandoned, and it was untouched until our main character rediscovers it in the present day.
Trying to find a way to mathematically rationalize an exciting and plot relevant reason for the change in frequency (it’s fiction so we can lax the rules a bit).
Just to throw around ideas to explain the increased to frequency of shifts, maybe prime numbered days of the month, or a reverse nth sequence 1 4 9 16 25, or a reverse fibonacci sequence 34 21 13 8 5 3 2 1 1 0, whereupon hitting 0 the island no longer shifts dinosaurs forward into the present day, but starts shifting the main cast backwards into the cretaceous period.
And to explain the increased duration of the shifts… I have no idea. Maybe the first shift is an hour, the second shift is three, etc until there is a shift that lasts for 24 hours.
Just brainstorming here, I think it’s fun to work out things like this. Everything is malleable and I’m open to what you guys think.