I'm developing a game that mostly takes place in a universe different from Earth's. In fact, the game has many other universes as well, each with different date/time systems (as opposed to Earth's hours, minutes, days, years etc.). The game takes place mostly on an artificial world that acts a bridge between Earth and all these other universes. While this world does have a sun of sorts, neither it nor the world move in relation to one another, leading to constant, endless daylight.
While I'd be happy to invent an entirely new date/time system for this bridge world, due to the nature of the game's mechanics, time management is an important aspect of the game. Additionally, I don't consider learning a new time system and making conversions between it and the hours/days etc. we're all used to to be a skill worth mastering for this game in particular. Because of this, I'd like to use a time system similar in structure to that of modern day Earth. While this choice is purely for the player's sake, I'd like to make it work in-universe as well, if at all possible.
So my question is, what reason, if any, would the inhabitants of this world have to adopt such a system?
Some additional notes/things I've already considered:
I'm not necessarily looking for a system that mirrors Earth's clock; that is to say, what year/day/hour it is currently on Earth does not matter. All that matters are the units used for keeping track of time (ie. hours, days etc.). Of course, a clock which is actually perfectly in sync with Earth's (or rather, one of Earth's timezones) is also acceptable.
The system does not need to match modern day Earth's perfectly. Specifically, it only needs to have minutes, hours, days and years. A lack of months can be remedied by having dates be expressed as, for example, 123rd day of year X, and subdivisions of minutes as well as grouping of years are not necessary.
The inhabitants of this bridge world regularly perform trades with the denizes of other universes. Trade would be a pretty solid reason to adopt matching clocks, but that would be true for the clocks of other universes as well, not just Earth's. I briefly considered actually creating the different time keeping systems for each universe and providing the player the ability to switch between each, but that would be a lot of work for not a lot of benefit, seeing as the player would likely just stick to the Earth clock for the entirety of the game. I should note that the player character is not human, and has never been to Earth, so there is no reason for them to prefer Earth's clock over any other.
One option would be to create some naturally occurring event in this world that repeats at a certain interval, and make this interval coincidentally match some human-relevant timespan (every 24 hours, for example). While there is one single naturally occurring, repeating event in this world, it is highly irregular in terms of when it repeats, so I would think building a system around it would be difficult. I'm not entirely opposed to creating additional natural events for the sake of solving this issue, but I'm curious as to whether there is a cleaner solution.
I'm happy to provide clarification/additional information if necessary. Thanks in advance!
EDIT: Thanks for all the answers and comments! I've decided to go for a combination of a few answers, specifically those that mention Founder Effect, but most importantly, Ángel's idea of Earth having literally gifted the bridge world a giant clock before anyone else.