R · the life of gravityevery clock relative to every other
yes: the 13.8 billion ticks and the 26.5 laps are the count of a clock far from all gravity. sit anywhere else and your clock runs slower, and so your "today" lands somewhere else on the lap. on a neutron star, 13.8 billion far-away years are 11.2 billion of yours: 21.5 laps, and your today is at 163°, mid-collapse (iron turning to element 0). hover at 1.01 × the edge of a black hole and it's 1.4 billion: 2.6 laps, today at 229°, two dead stars spiralling toward the merge. on Earth's surface the difference is 9.6 years in 13.8 billion. and every one of those clocks feels normal to whoever holds it; slowness only shows when you compare.
pick a seat–
–
your clock rate–
your years, when far-away says 13.8 billion–
you fall behind by–
your laps–
your today on the lap–
far-away today26.5 laps · 180° · element 0
how it feels to younormal · 1 s per s
a galaxy seen 13.2 Gyr backticks 9.4× slow, to us
the seats√(1 − rs/r)
the rule. a clock at distance r from a mass runs at √(1 − rs/r) of a clock far away. rs = 2GM/c² is the size at which light can't leave (8.9 mm for Earth, 3 km for the Sun, 4.1 km for 1.4 Suns). measured, not assumed: clocks a few floors apart disagree, and GPS satellites are corrected for it every day. the seats. Earth's surface runs 7 × 10⁻¹⁰ slow: 9.6 years lost over 13.8 billion. the Sun's surface: 29,000 years. a white dwarf: 3.6 million years. a neutron star: 2.6 billion years; it is 19% slow. hovering at 1.5 × the black-hole size costs 42%; at 1.01 ×, 90%. at the edge itself the clock stops, and the lap never turns. your today moves. the lap from the last pages is 521 million far-away years. a slow clock does fewer laps, so its "now" sits at a different station: the neutron-star seat is still mid-collapse (163°) when far-away reaches element 0 (180°). the black-hole seat at 1.01 rs is at 229° of its third lap, two dead stars spiralling toward the merge. relative to everyone else. nobody's clock is wrong. each runs one second per second for its owner, so none of them is the true one. far-away is just the seat with no gravity to subtract. seen across the universe. there's a second kind of slowing: light from a galaxy seen as it was 13.2 billion years ago has been stretched by the expanding universe (redshift ~8.4), so we watch its clocks run 9.4× slow. stamps. the formula and the Earth, Sun, white dwarf and neutron star numbers are LIT. the black-hole seats need a rocket to hover, and "sat there for 13.8 billion years" is a thought experiment: AMBER. the lap stations carry over from the last page: AMBER.
small words: heavy things slow time down near them. on Earth it's tiny, a few years over the whole life of the universe. on a squashed star it's a fifth. right next to a black hole, time almost stops. but whoever is there feels normal; only when two people compare watches do they see the difference.