“Expanding your horizons”
Stop for a second and really think about what that phrase means…
How exactly would one expand one’s horizons? If you’re down a well, the horizon would appear to be a small circle far above you, but if you’re at ground level, and outside, your horizon is pretty fixed.
Really, the way to expand your horizon if you’re outside is to remove all obstructions. Mountains? Mountains only block your horizons. Skyscrapers? They only block the sky[1].
The other way to expand one’s horizons is to be higher off the ground, so you can see further. The Burj Khalifa’s upper floors are so high up off the ground that a daily fast will last 2-3 minutes longer because your
horizon has expanded and you can see the sun further into the evening[2].
Perhaps ‘expanding your horizons’ means increasing the number of dimensions you’re looking at? Yes, a 4-D hypersphere would have a 3-D horizon, or event horizon in the case of a 4-D black hole, which is one theory for how the Big Bang started our universe[3].
So, it turns that to expand your horizons, you must first invent the universe[4].
[1]They don’t even scrape it. Really, there’s no way to scrape the sky. It’s not a solid. Technically, you could take air in the upper atmosphere and freeze and condense it such that it would be scrapeable, but your building would probably crack at that temperature anyway.
[2]Thanks, Neil deGrasse Tyson!
[3]This is so very cool. Read the article!
[4]“If you wish to make an apple pie from scratch, you must first invent the universe” – Carl Sagan