First, before I get to my questions, I will explain the basics of time dilation as I understand it (should be pretty accurate given that I've recently been reading about it).
Time Dilation is commonly known as a phenomenon due to consequences of special relativity. The effect is that the time interval measured by an observer moving with respect to a clock is longer than the time interval measured by the observer at rest with respect to the clock. For example, if two people had a stop-watch and started them at the same time, with one being on a spaceship moving at velocities close to the speed of light and the other person at rest on earth, when they land the person's clock who was on the spaceship will show less time elapsed than the stationary observer.
The most common thought-experiment used to illustrate how this concept can be is a variation of the following. Consider a moving vehicle with a mirror mounted on the ceiling. Let d equal the distance from the floor to the ceiling. There is a person in the moving vehicle and an observer at rest outside the vehicle. The person in the vehicle sends a light pulse straight up toward the mirror and it reflects and hits the floor of the vehicle.
For the person in the moving vehicle, it takes time t' for this to happen. t' can easily be determined using the definition of speed (speed = distance/time), so t' = (2 * d) / c, where c is the speed of light.
However, for the observer outside the vehicle, things are different because the light pulse appears to take a different path. Since the vehicle is moving, the light pulse's path will appear triangular. See the following (primitive with formatting likely screwed up) ASCII illustration below.
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So even though the light appears to go straight up and back down to the person inside the moving vehicle, it appears to reflect at an angle to the outside observer. The consequence of this is that the light appears to have traveled a further distance to the outside observer than from inside, since what was a distance of only 2*d is now dependant on how far the vehicle traveled (to do the geometric calculation for the distance the pulse traveled).
Since the distance traveled to the observer is larger, and time = distance/speed, and the speed of light is constant, it is concluded that the time elapsed according to the observer is longer than the time elapsed by the person in the vehicle. That's time dilation. It's widely accepted and has been proven with a few types of experiments (I've read about the Muons experiment and also the ones with the atomic clocks flying in jets).
Now, on to my questions.
Although I've kinda-sorta understood time dilation and relativity for many years (initially learned in High School Physics, and went more in depth in College), and could do math/physics problems by simply accepting the concepts as truth, I have a hard time buying into it after looking back at it.
My source of disbelief half comes from the fact that it contradicts with what seems logical to me, and half comes from the "sketchy" nature of experiments that prove it (many variables involved, results that weren't perfect although did indicate that time dilation was likely the cause due to variations of ~60 nanoseconds or so).
When reading the thought-experiment from above, my personal inclination is to believe that the time elapsed is in fact the same for both observers. What seems logical to me, is that the speed of light to the person in the vehicle would appear slower, although it is actually the same speed of light as always. The reason it would appear slower is because, as noted by the observer, the light is not taking a path straight up and back down. Now, if we could say that the outside observer was in a absolute reference point of rest, the path he observes is the correct one (the preferred frame of reference), so the distance the light travels is absolute and the time it takes to get there is absolute. The speed of light is always the same. The only source of variation between the two observers is the perceived speed of light depending on their frame of reference. To the outside observer (if he were at an absolute reference point of rest), the speed of the light would be perceived as 1*c. Any other frame of reference would result in a perceved speed of k*c, where k < 1 (so a slightly slower speed).
This seems completely logical to me, although it does contradict what I've learned. The reason it seems logical to me is that I think of the universe in terms of quantifiable "points", like you would have in a computer 3D world. I assert that there is a specific and absolute number of "points" the light has moved in its path from the floor to the ceiling and back. This number of points does not change, and the speed of light is the maximum of 1 point per time unit. Given this, time dilation is non-existant.
So, that's my understanding of time dilation and why I'm having trouble understanding/accepting it. Most likely, I'm not some genius who has just proved time dilation invalid, but rather I'm making in an error in 1) my understanding of what time dilation is, or 2) my reasoning for the contradiction.
Thanks in advance to anyone who can help clear things up for me.
Time Dilation is commonly known as a phenomenon due to consequences of special relativity. The effect is that the time interval measured by an observer moving with respect to a clock is longer than the time interval measured by the observer at rest with respect to the clock. For example, if two people had a stop-watch and started them at the same time, with one being on a spaceship moving at velocities close to the speed of light and the other person at rest on earth, when they land the person's clock who was on the spaceship will show less time elapsed than the stationary observer.
The most common thought-experiment used to illustrate how this concept can be is a variation of the following. Consider a moving vehicle with a mirror mounted on the ceiling. Let d equal the distance from the floor to the ceiling. There is a person in the moving vehicle and an observer at rest outside the vehicle. The person in the vehicle sends a light pulse straight up toward the mirror and it reflects and hits the floor of the vehicle.
For the person in the moving vehicle, it takes time t' for this to happen. t' can easily be determined using the definition of speed (speed = distance/time), so t' = (2 * d) / c, where c is the speed of light.
However, for the observer outside the vehicle, things are different because the light pulse appears to take a different path. Since the vehicle is moving, the light pulse's path will appear triangular. See the following (primitive with formatting likely screwed up) ASCII illustration below.
[ ] [ ] [ ] [*] [ ] [ ] [ ]
[ ] [ ] [*] [ ] [*] [ ] [ ]
[ ] [*] [ ] [ ] [ ] [*] [ ]
[*] [ ] [ ] [ ] [ ] [ ] [*]
So even though the light appears to go straight up and back down to the person inside the moving vehicle, it appears to reflect at an angle to the outside observer. The consequence of this is that the light appears to have traveled a further distance to the outside observer than from inside, since what was a distance of only 2*d is now dependant on how far the vehicle traveled (to do the geometric calculation for the distance the pulse traveled).
Since the distance traveled to the observer is larger, and time = distance/speed, and the speed of light is constant, it is concluded that the time elapsed according to the observer is longer than the time elapsed by the person in the vehicle. That's time dilation. It's widely accepted and has been proven with a few types of experiments (I've read about the Muons experiment and also the ones with the atomic clocks flying in jets).
Now, on to my questions.
Although I've kinda-sorta understood time dilation and relativity for many years (initially learned in High School Physics, and went more in depth in College), and could do math/physics problems by simply accepting the concepts as truth, I have a hard time buying into it after looking back at it.
My source of disbelief half comes from the fact that it contradicts with what seems logical to me, and half comes from the "sketchy" nature of experiments that prove it (many variables involved, results that weren't perfect although did indicate that time dilation was likely the cause due to variations of ~60 nanoseconds or so).
When reading the thought-experiment from above, my personal inclination is to believe that the time elapsed is in fact the same for both observers. What seems logical to me, is that the speed of light to the person in the vehicle would appear slower, although it is actually the same speed of light as always. The reason it would appear slower is because, as noted by the observer, the light is not taking a path straight up and back down. Now, if we could say that the outside observer was in a absolute reference point of rest, the path he observes is the correct one (the preferred frame of reference), so the distance the light travels is absolute and the time it takes to get there is absolute. The speed of light is always the same. The only source of variation between the two observers is the perceived speed of light depending on their frame of reference. To the outside observer (if he were at an absolute reference point of rest), the speed of the light would be perceived as 1*c. Any other frame of reference would result in a perceved speed of k*c, where k < 1 (so a slightly slower speed).
This seems completely logical to me, although it does contradict what I've learned. The reason it seems logical to me is that I think of the universe in terms of quantifiable "points", like you would have in a computer 3D world. I assert that there is a specific and absolute number of "points" the light has moved in its path from the floor to the ceiling and back. This number of points does not change, and the speed of light is the maximum of 1 point per time unit. Given this, time dilation is non-existant.
So, that's my understanding of time dilation and why I'm having trouble understanding/accepting it. Most likely, I'm not some genius who has just proved time dilation invalid, but rather I'm making in an error in 1) my understanding of what time dilation is, or 2) my reasoning for the contradiction.
Thanks in advance to anyone who can help clear things up for me.