[center]Relativity - 101 Grade school - High school version I've been told, and that this has been known and taught for over a hundred years![/center]
Relativity
Physics - the dependence of various physical phenomena on relative motion of the observer and the observed objects, esp. regarding the nature and behavior of light, space, time, and gravity.
OK, .. so there seems to be a various physical phenomena on relative motion of the observer and the observed object, even I have noticed this phenomena, it is somewhat a different perspective going 150mph on a motorcycle vs standing still and watching someone pass me by doing 150 mph on a motorcycle.
This states that all motion is relative and that the velocity of light in a vacuum has a constant value that nothing can exceed.
E=MC^2 - where E is energy, m is mass, and c is the speed of light. Thus, Einstein stated that the universal proportionality factor between equivalent amounts of energy and mass is equal to the speed of light squared. The formula is dimensionally consistent and holds true irrespective of which system of measurement units is used.
All motion is relative, got it, but why ‘state’ that “the velocity of light in a vacuum has a constant value that nothing can exceed� .. and then go and square the speed of light in the equation E=MC^2?
OK, so this equation states that ‘C’ is Speed of Light which has a constant value of 186,282 miles / s.
Now squaring a speed that which nothing can exceed gives us a somewhat faster than ‘C’ speed of light, ... about 186,282 times faster because C squared is 34,700,983,524 miles / second.
Fine, let’s use that value of 34,700,983,524 miles / second to figure out the effects, or the relativity to T (time) on M (mass) when it is in motion at given V (velocity)?
- Among its consequences are the following: the mass of a body increases, and its length (in the direction of motion) shortens, as its speed increases;
OK, so the Mass of a body increases with speed, another word something with let’s say a mass of 50lb. becomes heavier and heavier as it goes faster and faster. So any mass reaching the assumed speed of light squared (34,700,983,524 miles / s) would become infinitely heavy, .. is this correct?
.. and ALSO, it’s length in the direction of the motion shortens, which I understand that at the speed of C^2 (34,700,983,524 miles / s) the Mass (any mass) would become the size of this universe (since they don’t consider anything outside the universe), meaning infinitely heavy and infinitely big .. is that correct?
- Holding true more generally, any body having mass has an equivalent amount of energy, and all forms of energy resist acceleration by a force and have gravitational attraction; the term matter has no universally-agreed definition under this modern view.
Continuing with the Energy=Mass C^2, what I’m understanding is (since ‘infinite’ is not imaginable for them in this universe, we’ll just stick with the size of the universe (whatever that may be?) .. so Mass at the speed of light squared, would become as ‘heavy’ as the entire universe, and as big as the universe since as stated; “the mass of a body increases, and its length (in the direction of motion) shortens as its speed increases� meaning that the leading end of the mass going at 34,700,983,524 miles / s would get shorter and shorter until it reached its trailing end, and since mass and energy is equal, it would all be one huge mass of energy (only this would happen at just past the speed of light, the effects of mass moving 186,282 times the speed of light would be much different effect) ... do I have this right?
But that is not all, they say that at the speed of light (especially at speeds C squared), Time would also slow down to a stop. Now if all the IFF’s are true, that would make sense since Mass and Weight would reach infinite, it would engulf the entire universe including time & space, thus everything would become an enormous gravitational Mass void of space, time or light ... am I close?
Is this what they call a ‘Gravitational Singularity’?
Question; to get to this point, don’t we need space and time where mass, any mass could have room to accelerate to reach the speed of light squared?
Let’s move on with relativity to how things 'might' appear by different observers at speed of light at 186,282 miles per second, or squared at 34,700,983,524 miles / second;
- the time interval between two events occurring in a moving body appears greater to a stationary observer; and mass and energy are equivalent and interconvertible.
As I understand and some of it based on - Among its consequences are the following: the mass of a body increases, and its length (in the direction of motion) shortens as its speed increases that if somebody was traveling near the speed of light for millions of years would have experienced only days, or just minutes vs the man standing would have been long gone and vanished millions of years ago,
also if a man traveling at the speed of light was able to look over at the watch of a man standing still, it would be flying by years not minutes, while his at the speed of light would be standing still, or stopped.
How close am I to understanding the Theory of Relativity as described by Einstein's equation of E=MC^2? And what parts am I misunderstanding?
Here are some doubts about Einstein's (that is if it's truly Einstein's idea?) Theory of Relativity, so the question for the Original Post is: 'Am I wrong, and if so, where am I wrong?'
1. 'C'^2 is 186,282 times faster than the assumed speed of light in a vacuum. How can Mass move so fast, and where is it moving IN? (not the universe we know, because there is a 'speed-limit' in our universe as defined by Einstein, which is mutually agreed upon, .. right?)
2. it is claimed that; nothing is faster than the speed of light, yet they assume that on the outer-skirts of our expanding fabric-of-space lies entire galaxies that are expanding ten times the speed of light, AND still emitting light at the speed of light both in the direction of the expansion, and leaving a trail behind?
3. Why is it that at these speeds distance would be shorter, not the time it takes to get to these distances? Matter of fact, they claim 'time would stop' at 186,282 miles per second. This can only mean one thing; that once these expanding galaxies passed the speed of light, they are actually coming behind us, or as we see ourselves in the mirror, we behold our face from the back. That what we see out there is US passing through us?
But that can happen only UP-TO twice the speed of light, because three times the speed of light would pass through the 'twice the speed of light', and if Einstein is right about squaring 'C', we are actually seeing 186,282 TIMES the outskirts of our universe passing through us! That would be like taking a mirror and looking back INTO a mirror, ... our universe creating infinite universes... or am I missing something?
I could use any help on this,
Thanks.
The Theory of RELATIVITY
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Re: The Theory of RELATIVITY
Post #171I will try a couple of answers. "Why" is a very deep question. Science tries to explain "how" things work, but often cannot explain the deeper question of "why." The speed of light at 186,282 mps is one of the many constants of nature which we find in the universe around us. Call it a whim of God if you like. Some people talk about the "permeability of space" limiting the speed of light, but that only pushes the question back a step. What and why is permeability?arian wrote:You are right olavisjo, and I believe JohnPaul is right too, in my case anyways. I did not consider what would happen if my gun was either moving closer or farther AS it was shooting out water, and your pulsating water gun clearly shows what would happen. From space, as the source (which is my water gun) moved away as it was shooting, the intervals of each pulse would be farther apart, but what about light which is claimed is constant no matter how its being emitted, coming or going away from the target?olavisjo wrote: .I think that you missed it too.JohnPaul wrote: This is getting tedious. Again, I ask if you are joking? I completely agree with everything you wrote in your description of your experiment, EXCEPT you completely ignored any mention of the whole point of this discussion, the measurement of the speed of the water as it moves between the hose nozzle and the target. Its back-and-forth motion is irrelevant. To measure this speed, we must know the distance between the nozzle and the target, and also a way of comparing the exact times at which the water leaves the nozzle and the time at which it strikes the target. That was the whole point of Roemer's observation. How did you miss it?
The experiment has nothing to do with the speed, time or distance it left the hose (Jupiter) till it got to the garage door (Earth).
The experiment is better described as a constant pulsating beam of water shot at a moving car (Earth).
When the car is going toward the hose it will hit rapidly ta-ta-ta, but when the car is going away it will hit slower pahdah-pahdah-pahdah. Then if you know the distance the car traveled during the pulse of water, then the difference in time of the two pulses hitting the car and the distance the car traveled will allow you to calculate the speed of the water.
I do understand that light has to be a constant which I thought as INSTANT, but if the Jupiter's moon Io experiment was honest, then light does have a speed, and for this to work, it HAS to be constant.
But then I have to put it in such a perspective where I could visualize this. I understand what JohnPaul is saying, and according to that observation of Io, light would seem to have speed, actually in that sense it must have speed and a constant one at that. But I still have to figure it out in my own simple way to be able to see it in my own mind.
OK, if the speed limit of light in this universe is 186,282 m/p/s MAX
My biggest problem now is to understand this speed limit of light. OK, so I visualize a ship with headlights traveling let's say 170,000 m/p/s, and then turns on his headlights, so with a speed limit on light, that light coming out of the headlight, within this universe can only be 186,282-170,000=16,282 m/p/s, which keeps the light within the universal speed limit of 186,282 m/p/s.
But from my ships perspective, my frame of reference I have a light front of me and originating from me, .. a beam of light that is only traveling at a speed of 16,282 m/p/s
what is wrong with this picture?
I thought that from any source, from any perspective LIGHT is a CONSTANT?
Another word, when I asked about a sun on the outer skirts of the fabric of our universe traveling near or faster than the speed of light, what speed did the light emanating from the front of that sun travel?
I was told that 'light travels at 186,282 m/p/s no matter which direction the source (in this case the sun) was traveling'. And since the source is a sun, it is emanating light in every direction at a constant C.
How is this explained?
Thanks for anyones input.
The question about the relativistic effect of the earth's speed in its orbit on observations of light from Jupiter's moon is that the speed of the earth in its orbit at only 19 mps is so very small compared to the speed of light that no relativistic effects are noticeable.
As for your question about the spaceship moving at 170,000 mps and emitting a beam of light ahead of it, the answer would be different depending on whether you are observing it from earth or from the moving ship. Remember that the speed of light is ALWAYS measured as 186,282 mps for ALL observers, no matter what the speed of the observer may be. By ordinary everyday experience on earth, the speed of the beam of light limited to 186,282 mps should seem to the ship's crew to be travelling at only 16,282 mps relative to the ship, but you are forgetting about the relativistic time dilation for the ship at that speed, which means that a second to them is longer (as measured from earth), so the beam of light seems to them to travel farther in their longer version of a second. So, as measured by the ship's crew using ship's time, the beam of light is travelling away from them at 186,282 mps while they seem to be standing still. I know this is confusing at first exposure to it, and is difficult to keep straight in your mind while trying to visualize it. Incidentally, both Relativity and Quantum physics contain ideas which are actually impossible for the human mind to visualize and can only be expressed mathematically.
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Re: The Theory of RELATIVITY
Post #172Sorry, what is it exactly we are misunderstanding?olavisjo wrote: .JohnPaul wrote: P.S. Perhaps I should apologize for berating you too harshly for your misunderstanding of Roemer's method of measuring the speed of light from observations of Jupiter's moon Io. It seems that a French reporter in 1676 also misunderstood it and totally garbled his report of it in Paris. So you are not the first to misunderstand it, and I apologize.A French reporter, JohnPaul and now A Troubled Man all misunderstood it.A Troubled Man wrote: But, the point is that water does not behave the same way as light. For example, with light, the car will be hit exactly the same (ta-ta-ta) whether it is at rest or moving fast, the light will not hit it slower (pahdah-pahdah-pahdah) as would the water. Huge difference.
Read it again, it is not rocket science (or is it?)...
http://en.wikipedia.org/wiki/Ole_R%C3%B ... d_of_light
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Re: The Theory of RELATIVITY
Post #173I think it had something to do with washing cars on Jupiter.A Troubled Man wrote:Sorry, what is it exactly we are misunderstanding?olavisjo wrote: .JohnPaul wrote: P.S. Perhaps I should apologize for berating you too harshly for your misunderstanding of Roemer's method of measuring the speed of light from observations of Jupiter's moon Io. It seems that a French reporter in 1676 also misunderstood it and totally garbled his report of it in Paris. So you are not the first to misunderstand it, and I apologize.A French reporter, JohnPaul and now A Troubled Man all misunderstood it.A Troubled Man wrote: But, the point is that water does not behave the same way as light. For example, with light, the car will be hit exactly the same (ta-ta-ta) whether it is at rest or moving fast, the light will not hit it slower (pahdah-pahdah-pahdah) as would the water. Huge difference.
Read it again, it is not rocket science (or is it?)...
http://en.wikipedia.org/wiki/Ole_R%C3%B ... d_of_light
Re: The Theory of RELATIVITY
Post #174Hey thanks again JohnPaul.JohnPaul wrote: I will try a couple of answers. "Why" is a very deep question. Science tries to explain "how" things work, but often cannot explain the deeper question of "why." The speed of light at 186,282 mps is one of the many constants of nature which we find in the universe around us. Call it a whim of God if you like. Some people talk about the "permeability of space" limiting the speed of light, but that only pushes the question back a step. What and why is permeability?
Yes, I can see that permeability would seem to explain a speed limit on light, I kind of visualize this as friction on a book sliding on a desk, or actually water seeping through a vey fine strainer. I imagine pouring a gallon of water in a big bowl fine gradient strainer where the water would permeate through the strainer (matter) at a constant. But it's not a strainer, because they say that the slowing process of light in matter is thought to result not from actual slowing of particles of light, but rather from their absorption and re-emission from charged particles in matter.
But what is the substance that light permeate through absorption and re-emission in space to keep it at this speed limit? If it's not some substance in space, then what, some magnetic flux?
Or is it gravity of space? Is the entire space in the universe made up of some sort of constant gravity acting like a strainer that limits light to this constant? Actually I could see that, and it would explain a lot of things.
Hey, .. that would also explain why the weight of a spaceship flying through space would increase exponentially at faster and faster speeds, .. because the faster the ship went, the more space/gravity it would accumulate on/in the ship! So the mass of the ship would remain the same, ONLY the weight would increase, with all them quantum gravity that is accumulating in the ship.
By Einstein, I think I'm getting it, .. or am I just creating my own explanations again?
Well yes you are right, that would be very minute.The question about the relativistic effect of the earth's speed in its orbit on observations of light from Jupiter's moon is that the speed of the earth in its orbit at only 19 mps is so very small compared to the speed of light that no relativistic effects are noticeable.
Yes JohnPaul time slowing down would make perfect sense as you explained above. I have no problem in understanding that.As for your question about the spaceship moving at 170,000 mps and emitting a beam of light ahead of it, the answer would be different depending on whether you are observing it from earth or from the moving ship. Remember that the speed of light is ALWAYS measured as 186,282 mps for ALL observers, no matter what the speed of the observer may be. By ordinary everyday experience on earth, the speed of the beam of light limited to 186,282 mps should seem to the ship's crew to be travelling at only 16,282 mps relative to the ship, but you are forgetting about the relativistic time dilation for the ship at that speed, which means that a second to them is longer (as measured from earth), so the beam of light seems to them to travel farther in their longer version of a second. So, as measured by the ship's crew using ship's time, the beam of light is travelling away from them at 186,282 mps while they seem to be standing still.
Only for some reason, .. for now, with all the experiments I have done in my head regarding time dilation, I just cannot see TIME slowing down as we travel faster. and here is one example why; (there is more)
Look;
* take two ships facing opposite directions, and make the Space-station as our starting point, as our inertial frame of reference.
* Now let both ships accelerate to 0.4 C in a straight line going the opposite direction, OK?
* After about a light month, they both stop and return to the space station.
Now what is the age, or time difference between each ship? There is none, right? Why? It is because of the symmetry of acceleration, both ships would have aged the same.
OK, now lets do this again and add two more ships, but this time let's add a shuttle facing backwards onto one of the LEFT moving ships traveling right towards the Space Station, and we have another ship coming in from the RIGHT of the space station, ..all traveling at 0.4 C.
Now once they reach the Space Station, the LEFT ship carrying the shuttle looses the shuttle and continues to travel the same direction to the right at 0.4 C past the space station,
and the RIGHT ship continues in the same direction passing the space station to the left. (they pass each other going opposite directions), BUT back at the same inertial frame right at the space station the shuttle launched from the LEFT ship and started heading left at 0.8 C.
See the speed paradox, the time paradox follows:
* So in the same inertial frame we have the RIGHT ship that just passed the space station traveling left at 0.4 C, side by side with the shuttle (that launched off of the LEFT ship) traveling at 0.8 C the same direction side by side for the duration of a light month.
* In the opposite direction we also have two ships traveling at 0.4 C, one of them is the ship the shuttle launched off from, .. and at exactly one light month they all turn around and they all arrive at the space station.
In the two shared inertial frames that arrived at the space station, the shuttle aged less then the other ships.
Thank you again JohnPaul. Please don't take this as arrogance on my part, but I understand all the concepts of quantum physics I have read, heard and seen so far, but the mathematical part I couldn't even start without taking grade school Algebra, Geometry, (I know Trigonometry pretty good) but would definitely need a few years of physics. So far there has been no philosophical, or scientific concept that I could not understand, it is the rules and the laws that I need to brush up on, as evidenced in this OP. This is probably why I sound so 'way out there', or as if I didn't know what I was talking about, because I lack the basics to explain to someone what I already know. But I am working the best I can learning those basics.I know this is confusing at first exposure to it, and is difficult to keep straight in your mind while trying to visualize it. Incidentally, both Relativity and Quantum physics contain ideas which are actually impossible for the human mind to visualize and can only be expressed mathematically.
Yes it is deep, .. but I like deep. Thanks for giving me a chance.JohnPaul wrote:Welcome to the deep end of the pool. I welcome corrections to what I have written above.
Re: The Theory of RELATIVITY
Post #175.
This Doppler effect was what Ole Rømer used to calculate the speed of light (it would be over 150 years latter that Doppler named this effect).
Rømer noticed that the period of Jupiter's moon Io should be constant at about 42.5 hours, if light was transmitted instantly. But it was not constant, and he noticed that when the Earth was moving toward Jupiter that the period became about 15 seconds quicker, and when the Earth was moving away from Jupiter the period was 15 seconds longer. (due to the Doppler effect)
The Earth orbits the Sun at a speed of about 107,300 km/hr times 42.5 hrs gives us a distance of 4,560,250 km. Rømer figured that the reason the period of Io was shorter was because the light did not have to travel as far to get to the Earth, it got there sooner because the Earth had moved closer to Jupiter. So the speed of light would then be 4,560,250 km divided by 15 sec or about 300,000 km/sec.
I hope you can understand that, because I just don't know how I can make it any simpler. But there is no "Huge difference" between water, waves, sound or light when we are talking about the Doppler effect.
I think that JohnPaul could have explained this to you if his car had not been dirty at the time.
If you have a constantly pulsating source (be it water, light or sound) that source will be compressed or elongated if the distance to or from that source increases or decreases. Think of a motorcycle approaching you at a constant speed, you will hear the pitch of the engine drop when it passes you even though the speed of the motorcycle did not change. This is called the "Doppler effect". If you can calculate the amount of the drop and you know the speed of sound you would be able to know how fast the motorcycle was going, or vice versa.A Troubled Man wrote:Sorry, what is it exactly we are misunderstanding?olavisjo wrote:A French reporter, JohnPaul and now A Troubled Man all misunderstood it.A Troubled Man wrote: But, the point is that water does not behave the same way as light. For example, with light, the car will be hit exactly the same (ta-ta-ta) whether it is at rest or moving fast, the light will not hit it slower (pahdah-pahdah-pahdah) as would the water. Huge difference.
Read it again, it is not rocket science (or is it?)...
http://en.wikipedia.org/wiki/Ole_R%C3%B ... d_of_light
This Doppler effect was what Ole Rømer used to calculate the speed of light (it would be over 150 years latter that Doppler named this effect).
Rømer noticed that the period of Jupiter's moon Io should be constant at about 42.5 hours, if light was transmitted instantly. But it was not constant, and he noticed that when the Earth was moving toward Jupiter that the period became about 15 seconds quicker, and when the Earth was moving away from Jupiter the period was 15 seconds longer. (due to the Doppler effect)
The Earth orbits the Sun at a speed of about 107,300 km/hr times 42.5 hrs gives us a distance of 4,560,250 km. Rømer figured that the reason the period of Io was shorter was because the light did not have to travel as far to get to the Earth, it got there sooner because the Earth had moved closer to Jupiter. So the speed of light would then be 4,560,250 km divided by 15 sec or about 300,000 km/sec.
I hope you can understand that, because I just don't know how I can make it any simpler. But there is no "Huge difference" between water, waves, sound or light when we are talking about the Doppler effect.
I think that JohnPaul could have explained this to you if his car had not been dirty at the time.
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Re: The Theory of RELATIVITY
Post #176"Rømer never did compute the speed of light, maybe because he felt that the distance between the Earth and the Sun was not known too well."olavisjo wrote:
This Doppler effect was what Ole Rømer used to calculate the speed of light
http://www.rundetaarn.dk/engelsk/observ ... /light.htm
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Re: The Theory of RELATIVITY
Post #177OK, but other people did compute it using the data which Roemer had compiled. Roemer was not even trying to measure the speed of light. That was an accidental result of his work. Roemer was onlly looking for something in the sky for ocean navigators to us as a "clock" to give them accurate time which they needed to navigate and compute their position on the open ocean. Only pendulum clocks were accurate at that time, and these could not be used on ships because the motion of the ocean waves disturbed the accurate swings of the pendulums. Roemer failed to find a useful navigation "clock" in the sky, but he did find more than he was looking for.A Troubled Man wrote:"Rømer never did compute the speed of light, maybe because he felt that the distance between the Earth and the Sun was not known too well."olavisjo wrote:
This Doppler effect was what Ole Rømer used to calculate the speed of light
http://www.rundetaarn.dk/engelsk/observ ... /light.htm
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Re: The Theory of RELATIVITY
Post #178[Replying to post 174 by arian]
Arian, your sample problem involving multiple spaceships moving at different speeds and in different directions is too complicated for my feeble brain to tackle at the moment. I will leave it to some of the geniuses here in the forum. Besides, it involves acceleration, speeding up and slowing down, turning around, etc. That completely screws up the relatively simple math of motion at constant speeds, and requires more math than I have. It would involve General Relativity math, not just Special Relativity, and even Einstein needed help with that.
Besides the complicated math to calculate the relativistic effects, your example involves some practical engineering problems. Accelerating at a rate tolerable to humans, a spaceship would have to fire its rockets continuously for several months to reach a speed of .8 C, and the same again for slowing down. By that time, the ship would not only be far beyond the space station, it would be completely out of the Solar System and on its way to the stars. Also, chemical rockets can carry enough fuel to fire their rockets for only a few minutes, certainly not for several months. Even if we developed fusion drives, there would still be the problem of carrying reaction mass. I am afraid it will be some time before your hypothetical problem becomes a real problem.
Arian, your sample problem involving multiple spaceships moving at different speeds and in different directions is too complicated for my feeble brain to tackle at the moment. I will leave it to some of the geniuses here in the forum. Besides, it involves acceleration, speeding up and slowing down, turning around, etc. That completely screws up the relatively simple math of motion at constant speeds, and requires more math than I have. It would involve General Relativity math, not just Special Relativity, and even Einstein needed help with that.
Besides the complicated math to calculate the relativistic effects, your example involves some practical engineering problems. Accelerating at a rate tolerable to humans, a spaceship would have to fire its rockets continuously for several months to reach a speed of .8 C, and the same again for slowing down. By that time, the ship would not only be far beyond the space station, it would be completely out of the Solar System and on its way to the stars. Also, chemical rockets can carry enough fuel to fire their rockets for only a few minutes, certainly not for several months. Even if we developed fusion drives, there would still be the problem of carrying reaction mass. I am afraid it will be some time before your hypothetical problem becomes a real problem.
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Re: The Theory of RELATIVITY
Post #179Time does not slow down for us as we travel faster, our clocks tick as normally as if we were at rest. It is the clocks that are at rest or moving at different velocities from us that are observed to tick slower.arian wrote:
Yes JohnPaul time slowing down would make perfect sense as you explained above. I have no problem in understanding that.
Only for some reason, .. for now, with all the experiments I have done in my head regarding time dilation, I just cannot see TIME slowing down as we travel faster. and here is one example why; (there is more)
That is correct.Look;
* take two ships facing opposite directions, and make the Space-station as our starting point, as our inertial frame of reference.
* Now let both ships accelerate to 0.4 C in a straight line going the opposite direction, OK?
* After about a light month, they both stop and return to the space station.
Now what is the age, or time difference between each ship? There is none, right? Why? It is because of the symmetry of acceleration, both ships would have aged the same.
I see no "speed paradox" at all, what exactly are you referring?OK, now lets do this again and add two more ships, but this time let's add a shuttle facing backwards onto one of the LEFT moving ships traveling right towards the Space Station, and we have another ship coming in from the RIGHT of the space station, ..all traveling at 0.4 C.
Now once they reach the Space Station, the LEFT ship carrying the shuttle looses the shuttle and continues to travel the same direction to the right at 0.4 C past the space station,
and the RIGHT ship continues in the same direction passing the space station to the left. (they pass each other going opposite directions), BUT back at the same inertial frame right at the space station the shuttle launched from the LEFT ship and started heading left at 0.8 C.
See the speed paradox
Not necessarily, the shuttle was traveling faster than the other ships, hence the time dilation calculations must be derived separately based on the changes in velocity. Doubling the speed does not mean we double the dilation.the time paradox follows:
* So in the same inertial frame we have the RIGHT ship that just passed the space station traveling left at 0.4 C, side by side with the shuttle (that launched off of the LEFT ship) traveling at 0.8 C the same direction side by side for the duration of a light month.
* In the opposite direction we also have two ships traveling at 0.4 C, one of them is the ship the shuttle launched off from, .. and at exactly one light month they all turn around and they all arrive at the space station.
In the two shared inertial frames that arrived at the space station, the shuttle aged less then the other ships.
And yet, to actually gain full understanding of those physics concepts, one must indeed understand the math. It simply doesn't work with mere layman's terms.
Thank you again JohnPaul. Please don't take this as arrogance on my part, but I understand all the concepts of quantum physics I have read, heard and seen so far, but the mathematical part I couldn't even start without taking grade school Algebra, Geometry, (I know Trigonometry pretty good) but would definitely need a few years of physics. So far there has been no philosophical, or scientific concept that I could not understand
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Re: The Theory of RELATIVITY
Post #180Hmmm. Problems like these have always confused me, math or no math. For example, the two ships leaving the space station in opposite directions at speed of .4 C and then returning would be symmetrical in relation to the space station, but they have been moving at .8 C in relation to each other, so the time difference between the two ships would be quite different than that between each ship and the space station? Also, most of the time would be spent in accelerating and decellerating, which I understand is quite different than motion at a constant speed.A Troubled Man wrote:Time does not slow down for us as we travel faster, our clocks tick as normally as if we were at rest. It is the clocks that are at rest or moving at different velocities from us that are observed to tick slower.arian wrote:
Yes JohnPaul time slowing down would make perfect sense as you explained above. I have no problem in understanding that.
Only for some reason, .. for now, with all the experiments I have done in my head regarding time dilation, I just cannot see TIME slowing down as we travel faster. and here is one example why; (there is more)
That is correct.Look;
* take two ships facing opposite directions, and make the Space-station as our starting point, as our inertial frame of reference.
* Now let both ships accelerate to 0.4 C in a straight line going the opposite direction, OK?
* After about a light month, they both stop and return to the space station.
Now what is the age, or time difference between each ship? There is none, right? Why? It is because of the symmetry of acceleration, both ships would have aged the same.
I see no "speed paradox" at all, what exactly are you referring?OK, now lets do this again and add two more ships, but this time let's add a shuttle facing backwards onto one of the LEFT moving ships traveling right towards the Space Station, and we have another ship coming in from the RIGHT of the space station, ..all traveling at 0.4 C.
Now once they reach the Space Station, the LEFT ship carrying the shuttle looses the shuttle and continues to travel the same direction to the right at 0.4 C past the space station,
and the RIGHT ship continues in the same direction passing the space station to the left. (they pass each other going opposite directions), BUT back at the same inertial frame right at the space station the shuttle launched from the LEFT ship and started heading left at 0.8 C.
See the speed paradox
Not necessarily, the shuttle was traveling faster than the other ships, hence the time dilation calculations must be derived separately based on the changes in velocity. Doubling the speed does not mean we double the dilation.the time paradox follows:
* So in the same inertial frame we have the RIGHT ship that just passed the space station traveling left at 0.4 C, side by side with the shuttle (that launched off of the LEFT ship) traveling at 0.8 C the same direction side by side for the duration of a light month.
* In the opposite direction we also have two ships traveling at 0.4 C, one of them is the ship the shuttle launched off from, .. and at exactly one light month they all turn around and they all arrive at the space station.
In the two shared inertial frames that arrived at the space station, the shuttle aged less then the other ships.
And yet, to actually gain full understanding of those physics concepts, one must indeed understand the math. It simply doesn't work with mere layman's terms.
Thank you again JohnPaul. Please don't take this as arrogance on my part, but I understand all the concepts of quantum physics I have read, heard and seen so far, but the mathematical part I couldn't even start without taking grade school Algebra, Geometry, (I know Trigonometry pretty good) but would definitely need a few years of physics. So far there has been no philosophical, or scientific concept that I could not understand