A "Showerthought" is a simple term used to describe the thoughts that pop into your head while you're doing everyday things like taking a shower, driving, or just daydreaming. A showerthought should offer a unique perspective on an ordinary part of life.
And yet the 10,000 years of the clock's run time is not even a single tick in comparison to geological time or the lifespan of the sun.
Human life spans are so short in comparison to the wider universe it is hard for the human mind to grasp. We are not even a blink in the eye of a person who lives to 100.
What's the 10000 year clock?
It a huge clock built inside a mountain that is designed to encourage long term thinking
Depending on which point in Star Trek you're referring to, for the most part the shows are about 400 years into our future.