> math get's really counterintuitive to grasp
People always say that about speed of light stuff, but I don’t get it. Do you have any more examples of counterintuitive math?
Because what you’re describing is basically the equivalent to compound interest in finance. (e.g. investing $100 at 10% interest over 10 years results in $260)
The proper time (that is, the time the traveler measures on a clock) goes to zero very quickly towards the end. Even with both axes plotted logarithmically, it's just a sudden drop at the end towards light speed.
- [pic](https://home.davidgoffredo.com/hackernews/proper-time-one-li...)
- [plot](https://home.davidgoffredo.com/hackernews/proper-time-one-li...)
Links seem to be broken?
No, but IPv6 only these days. I never set up dynamic DNS.
One million seconds is 11 days, a billion seconds is 31 years.
Thanks! But same here imho:
It all seems quite logical once you put everything into the same unit, I think.Maybe it's just our human calendar/time unit rollercoaster (60*60*24*30*12) that's playing tricks on us here.
Of course it is logical, we are not discussing the math.
But it isn't intuitive, you're not used to numbers that big or that grow that fast.
Few things go from a million to a billion, especially when related to time.
It’s the units that make it seem unintuitive. 12 days is roughly 0.032 years, and 17 minutes is likewise 0.000032 years. It’s relative to how we were taught to view smaller lengths of time. Of course you could argue measuring time by the rotation of heavenly bodies is more intuitive than counting on your fingers for the hours in a day and days in a lunar cycle.
Going from a million to a billion isn't some special relationship. It's just * 1000. It's the same as going 11000 or 101000.
I find it frustrating that people seem to think that someone going from 1M to 1B is somehow different to other numerical operations. It's not. It's 1000 times bigger, it's not a huge deal.