Yeah now you say it that makes sense. I live in 220 volts country. Keep forgetting the oddities of split-phase. Why have 220 around and only ever decide to use HALF of it?
And yeah that'd make sense, it would kill stuff rather quickly. At double the voltage your kettle (resistive load) would soak 4x the power it was designed for and probably melt something inside as an impromptu fuse.
But a light cone is really just a snapshot. A measure of causality at one single instant in one single spot in space. Since we continuously exist, there’s an infinite series of these imaginary light cones expanding outward from every point along our path, moment after moment.
A worldline is the continuous path of something’s existence through space and time, as we move side to side in space while always marching upward through time.
In the Minkowski diagram, your worldline cannot tilt more than 45 degrees from the vertical without exiting your own previous light cones. That would mean moving faster than C, which is impossible.
And because we have finite lifetimes, our world-lines are lines with a definite length, because they have a beginning and an end. Once Grace was aboard the Hail Mary and it accelerated to relativistic speeds, his worldline diverged so far and at such an angle that it could never curve back to intersect Stratt’s again before both lines would end.
Excuse my excitability making me sound like a dork. Let me explain.
Imagine empty space. 3 dimensions. With time flowing forward like you’d expect. There’s a single point in that space.
At that point you’re at location 0, time 0. As time moves forward, an imaginary bubble expands outward in all directions at the speed of light (C), centered on that point.
Only things inside this bubble could technically be affected by whatever happened at that point. If you’re at 0-0 and you wave, the fact you did can only spread as fast as that of the bubble. Your friend would only know you waved when they enter that bubble.
Now look backwards in time from 0-0. There’s a second bubble that existed before location 0 and time 0. Tt was contracting at speed C and collapsed right down to your point. Only things inside that collapsing bubble could possibly have reached and influenced what happens at 0-0. If your friend was outside that bubble and waved, you couldn’t have known about it yet at 0-0.
To draw this on a Minkowski diagram, we flatten it! Instead of a bubble as a 3D sphere (a 4D object in space-time), we use 2D circles that expand and become cones. Space becomes a 2D horizontal sheet, the “hypersurface of the present”, and time runs vertically.
The expanding cone opens upward into the future; the contracting one opens downward into the past.
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