Can I measure my time dilation displacement

I have traveled over a million miles as a passenger in jet aircraft. According to GPT4 that produces 2 microseconds of time displacement. I’d like to use that as a science project with my great grand daughter. We both have oscilloscope software that can easily handle 2 microseconds. We could build oscillators or pulse generators if necessary or travel to a location with an accurate time reference.

So, is it possible to measure the time dilation between us?

Sure; it’s easy (and been done:

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Not cheap, though; you need a bunch of plane tickets, and some atomic clocks (+ power). Today you can get those accurate rack-mounted ones; will also need power, a laptop to interface with it and, I assume, coordination with the airline to get their permission to set up your gear.

I already did that part by traveling on jet aircraft. My great grand daughter can substitute for the other clock. So one of us is displaced given the same reference. Now how do I measure it.

I think the only way that makes sense is to start the measurements before you travel.

I think you might be confused, or missing something. Unless you were both actually actively measuring something while you were flying and she was not, it’s irrelevant what your previous flights were.

I should also comment that’s it’s (relative) speed that’s important, not distance travelled. You’re missing a denominator.

The aircraft traveled over a million miles at 500 miles an hour. That is a rate.

Time = space according to Einstein. So, “500 miles per hour” can directly be expressed as a kinematic time dilation factor; that was the measurement. However, now you are off the 'plane; it is not a residual effect or anything like that, like radiation exposure.

So, the guys in SF novels who return to earth after travelling around the galaxy and find everything different due to time dilation just have to jump out of their ship and it will spring back to ‘real’ time.

Oh yeah, if it’s not a property then the clock experiment would not have worked.

No more than I expect to “spring” back to LA after I fly from LA to New York and alight at JFK.

Right, so is there a way that I can measure the time dilation between me and my great grand daughter.

Not feasibly with any current methods.

You measure the time dilation by bringing a clock with you. Now, your own metabolic processes provide a clock of sorts, but it’s an extremely low-precision clock. A wristwatch is better, but still not nearly good enough. If you want to measure it, then you need to bring a really good clock with you. If you didn’t do that on your previous flights, then it’s too late now: You can’t measure those previous flights.

Why not? There are accurate references available and 2 microseconds is no big deal for any oscilloscope.

Oscilloscopes can’t do anything with events that happened in the past.

The clock is just a measurement device and is not required. Time dilation works on the thing in motion.

Or, earlier, the Pound–Rebka experiment where they measured the difference between clocks at the top and bottom of a tower.

Cheaper than taking a plane.

But you specifically asked about measuring it which, by definition, requires a measurement device.

But with time dilation one oscilloscope is 2 microseconds in the past compared to the other.

I read somewhere (ages ago now) that a cosmonaut who had been in space for six months was 2-seconds off from those on earth when he returned.