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One day I assigned a question to my students :
If Aaron can walk 1.2 meters for each second, how long will it take for him to walk 25000cm.
And the next lesson we discussed the question, and I asked them "how long the distance Aaron can walk within a second ?". I was expecting them to say "1.2 meters" since it is so easy and it is stated directly in the question, but instead, one of them said 250seconds".
Of course, I have to correct them, but after the lesson, I think to myself, if what they said is a possible situation, what would this mean?
Most of the time we would think that "time moves in one direction", this means that time is one dimensional. I can simply draw a time line. When I say "Aaron can walk 5 seconds in a second",
This means that time can be more than one dimension.
if we try to plot the statement onto a graph, what we have is a "time plane", in fact, it is possible that we can go to higher dimensions.
This can also explain why time is relative... I guess.
Let's set up a thinking experiment :
there are 2 worlds with perpendicular timelines, A and B,
Aaron is holding an hourglass,
with the hourglass he walked 3 seconds along with world A,
then walked 5 seconds along world B,
Then he continued walked 4 seconds along with world A.
How would the two worlds observe him?
From the perspective of world A,
At first, the 3 seconds seems normal, then the 5 seconds of sand in the hourglass suddenly flowed, then the hourglass flows normally for 4 seconds.
From the perspective of world B,
At first, 3 seconds of sand in the hourglass suddenly flowed, then the hourglass flowed normally for 5 seconds, then 4 seconds of sand suddenly flowed.
From Aaron's perspective
for the first 3 seconds, time is flowing normally for world A, but time is frozen for world B
then for 5 seconds, time is frozen for world A, but time is flowing normally for world B then for 4 seconds, time is flowing normally for world A, but time is frozen for world B
We can actually plot a graph like this:
Let's Setup another experiment :
Adam is holding a stopwatch and observing Celia from the perspective of world A
Bob is holding a stopwatch and observing Celia from the perspective of world B
Celia is holding a stopwatch and traveling along world A and B for some angle or proportion
When Celia's stopwatch counted 5 seconds, Adams counted 4 and Bob's counted 3;
When Celia's stopwatch counted 10 seconds, Adam's counted 7 as well as Bob's
To Celia,
she traveled 4 seconds along with world A in 5 seconds and traveled 3 seconds along world B in 5 seconds at first, then the other way around.
To her,
for the first 5 seconds, Adam slows down, and Bob is even slower
for the second 5 seconds, Adams becomes slower, and Bob becomes slightly faster but still slower than Celia
To Adom, At the beginning, Bob vanishes
for 4 seconds, Celia is experiencing time faster,
then for 3, Celia speeds up even faster
To Bob,
At the beginning, Adam vanishes for 3 seconds, Celia is experiencing time very fast then for 4 second, Celia is still "faster" but slows down a bit
As you can see, Each of them experiences time at a relatively different rate. My 5 seconds, may not be your 5 seconds. Time is relative. In the thought experiment above, we are just dealing with 2D time, if you have nothing to do today or you are completely free today, think about this: What can we observe if time is 3D or higher ?
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