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The explanation still kinda sucks. I like this one: The easiest way to understand the relationship between time and space is repeat the thought experiment with
by ActorNightly 2y ago
The explanation still kinda sucks. I like this one:
The easiest way to understand the relationship between time and space is repeat the thought experiment with the void, but assume that there is no consciousness there (i.e nothing running that can sense time passing).
Now imagine the only action you can take is to fire particles (say photons) in a given direction. In a void, that action is meaningless - the particle fires and never comes back. No information exists.
Now imagine there is a mirror somewhere in space. A particle fires, and then comes back. And maybe interacts with another particle. But still, this is generally meaningless and you cant derive any measurable thing from it, but you have a piece of information - particle comes back.
Imagine there are 2 mirrors in different directions. What you do is you set up 2 identical devices. Each one fires a particle, and when the particle comes back, it triggers a certain color ball to fall down a common shared tube, and then the particle gets fired again.
So with 2 mirrors, you get a sequence in the tube that looks something like blue, blue, blue, green, blue, blue, blue, green. Now you can make a measure of distance. You take the "blue" mirror as your unit, and say green mirror is 2 away.
You have also in fact created a clock. The tube contains information on how many cycles have passed - i.e in order to say that mirror is x away, you need to have counted x blue balls before that respective ball shows up. So you can see how distance and time is intimately intertwined. To measure distance, you have to necessarily have something that measures time.
Now lets say that the "green" mirror starts moving away from you, at a slow speed (i.e your particles are much faster. You start to see 3 balls in sequence, then 4, then 5, and so on. By comparing the difference in the subsequent position of the green balls, you can measure speed.
What happens if the speed of the mirror is 99% of the particle speed? The particle takes its sweet time getting there, and sweet time coming back. Even if you fire the particle as the green mirror is close to the particle emitter, its going to result in a measurement of a very large distance.
This is the relativistic effect where the space behind something moving fast increases.
This whole experiment demonstrates that what we consider space is precisely defined by measurements, and relativistic effects alter these measurements, which alters our perception of space.
You can do similar thought experiments to understand why space in front of you seems to shrink, why time dilation becomes a thing, and so on.
- arijun 2y agoThat explanation seems like it would not line up with the mathematical reality of the situation. It seems like one of those handwave-y things that always confused me as a child. “Gravity is just massive objects deforming space like a weight deforming a sheet, and things fall into the well they make.” Ok but what would make something fall into the well, there is no gravity.
- jdranczewski 2y agoThat is a very good point! Gravity is just such an ingrained intuition that people tend to be ok with saying things go into the spacetime wells, but it is a little tautological. My understanding is that a more correct intuition is thinking of straight paths on the curved sheet. Say it's like a loosely woven tablecloth - objects in free fall will go along the threads of the weave, so if you stretch the fabric by placing a heavy object on it, the paths of smaller objects on the fabric will be stretched towards the heavy thing. This metaphor falls apart for orbits though, as it requires "stretching" the fabric so much that the threads now somehow go in a circle around the mass heh. But the underlying principle is the same - an object in orbit is in free fall along a straight path in curved spacetime.
- ActorNightly 2y agoIn my explanation, if the particles trajectory can change, you can see how gravity affects distortion of space. Its not really that the space is some sort of entity that is being distorted, its the concept of measuring what you define as distance gets influenced by how these particles fly about.
- meindnoch 2y agoNo. What you described is still 100% Galilean relativity. Special relativity cannot be explained with Galilean relativity.
- ActorNightly 2y agoI guess I forgot to mention one fact - the particle speed is set and constant, and does not change. The point overall is to demonstrate that ideas of time, space, and speed are all just sequences of events from which you derive those metrics, and relativity is the fact that those sequences change with all three.