It has. If two spacecrafts (frames) are moving at a speed of around 0.1c with respect to Earth, then will you be able to calculate the time dilation between the two frames on the spacecrafts? Try and let me know.
No, because you have not stated the information necessary to calculate a relativistic scenario: (1) choice of reference frame, and (2) relative speed between reference frame and observed frame.
This is the matter of interpretation of definition of what you call "Time Travel"..... There are certain issues with what you are suggesting as 'time travel'..
I think that was Brian Greene's definition. We should probably get back to what he said.
a. Time Dilation requires two frames, comparison of lapse time in both the frames.
Agreed, which is why I objected to what you said immediately above.
b. If the travelling Twin starts her journey on 20th Sep 2015, then 'Travel to Past" would mean travel to something like 19th Sep 2015 or earlier in the self frame.
Or later. But that's not what Brian Greens is describing. He is explaining relativity.
c. Similarly if the travelling twin starts her journey on 20th Sep 2015, then "Travel to future" would mean travel to 21st Sep 2015 in self frame before others have reached there.
Or sooner. And same for relativity.
d. What you are trying to say, that a twin starting on 20th Sep 2015, if returns on sometime in 2017 with a time dilation of one day, then magically even in 2017, she is in past by one day and other sedentary people are in future by one day (Amount of time dilation). I have no dispute with the "Time Dilation" between the two frames, but terming this as Travel to Past or future is playing with the words.
Then why not just get back to what Brian Greene actually said, and lets talk about what a genius he is and how awesome this video is.
I think popularly, what I have written in (b) and (c) is understood as "time travel", but if you have anything to support your version, you may define.
I am merely trying my best to get the conversation back to the subject matter at hand.
I would think The God would have better spelling skills than this.
Just don't waken The Angry God. Personally, I'd to wake the God of R&R and have her zap some of these folks into Timeout (speaking of time, that is).
Simply ask yourself about the purpose of measuring time.
I have. Conclusion: time is relative.
Last but not least, people have cared about measuring time long before they have cared to measure, say, pressure.
The oldest document I know of involved counting (listing) the earliest kings of Sumeria. Oldest writings usually involved counting livestock and agricultural output.
The ideal clock has the following simple property: If I have such a clock, and you have such a clock, and we synchronize them now, they remain synchronized forever.
That's impossible unless you add the stipulation that they are forever kept in the same reference frame.
Of course, inaccurate clocks will fail to do this job. And there is a simple way to find out inaccurate clocks: Use two of them and compare if they remain synchronized or not.
That's not even an issue. Accuracy of clocks is moot; time is relative therefore the returning twin returns younger, and her clock establishes her actual age, despite the date of her return and the time elapsed on Earth since her birth.
This is in agreement with a quite general idea about how to identify the accuracy of our most accurate measurement devices (those where we cannot use more accurate devices to measure their error, simply because we don't have them): Compare the measurement results of different devices if they measure the same thing. So, if two of our best clocks show 1 sec. difference if we compare them one day after exact synchronization, we have an information about their accuracy.
You are addressing something different. The subject here is relativity. (More specifically: the fabric of the cosmos.)
Similarly, the same technique can be used to evaluate what distorts our measurement devices.
Sounds like subject matter for a thread on instrument calibration.
So, if measuring the same thing A gives result X at temperature t1 and result Y at temperature t2, and |X-Y| is much greater than the differences we obtain if above measurement are made at the same temperature, we can be quite sure that temperature distorts or our measurements.
You seem to want to talk about instrumentation. And yes, temperature affects most kinds of measurements.
Following this scheme, we can easily establish that clocks do not measure time really accurate, and that their error depends on their velocity and the gravitational of their location.
No, that would not necessarily be properly called error. Nor does it necessarily have anything to do with measurement accuracy. Clocks measure time within their own reference frame. Time is relative, so only clocks left undisturbed within a common reference frame can be expected to perform as well as designed.
If you like mystics and paradoxes, you can, of course, interpret inaccurate clocks as distortions of time itself.
I like cosmology, the subject here. And it's full of rich technical language. The appropriate term here is
time dilation. And the correct concept involves the change in the rate time elapses in a remote frame, as seen by a local observer. That change is described best as a projection of a rotation of remote spacetime onto the observation plane (spacetime). Brian Greene has taken this subject deeper, into the concept of a spacetime
fabric, still unadressed in much of the content of this thread.
No, this is the definition what it means to have an accurate, ideal clock. So you can reformulate this as the claim that no ideal clocks exist. This, of course, would not be nice. But it would not be a sufficient reason to change the definition of of an ideal clock.
The subject here is not clock technology, nor is it really necessary to go very far into that. Einstein's explanation arose from his familiarity with his father's problems trying to synchronize clocks at two train stations. And that deals with the limits of accuracy at the end of the 19th c.
It is not impossible. At least, we don't have any serious evidence that it is. All what we know is that we do not have, yet, local clocks able to measure it.
Your scenario is impossible to the extent that you are ignoring relativity, which is a real physical phenomenon.
A natural candidate exists: Time after the BB, as measured by a clock at rest relative to CMBR.
That's immaterial. My point was that there are an infinite number of time slices between any two points in time. And that criteria is pretty weird, since we can't establish the moment of the initial expansion with any useful accuracy.
So what? That means only that there is an infinity of candidates we are not able to exclude based on the actual theory of fundamental physics. This could be a point if we would know that our actual theory is the true fundamental theory of everything. We don't. Instead, we have several theories, and these theories are in contradiction with each other.
No, in the case of (special) relativity we have one theory (explanation) of the observations from ca. 1850-1905 in all labs in the world reporting speed of light measurements. And that explanation, in its initial form, appears in Einstein's 1905 paper: special relativity.