- #1

guy_incognito

- 11

- 0

Everything is from MY (twin A) point of view.

Two twins (A and B) synchronize their clocks. One gets in a space ship (B), the other stays on earth (A). Twin A walks 100 feet in front of the spaceship (im assuming this small distance/acceleration is negligible and both clocks can be assumed synchronized still). The spaceship accelerates to near light speed almost instantly, and is already cruising at a constant velocity as it passes twin A. The exact moment it passes twin A it drops its own internal time stamp on twin A. From there it continues out in a straight line to a planet 1 light year away (as measured by twin A). Twin B does not stop, but keeps going, but as he passes the planet he transmits his internal clocks time stamp to the planet. The planet in question is exactly the same mass/size of earth and is not moving relative to earth. As soon as the timestamp is received it is transmitted back to twin A on earth.

What is the discrepancy between A and B's time stamp the moment after takeoff? ie what effect does massive acceleration have on the clocks.

I am assuming that a planet not moving relative to earth with the same gravity which is 1 light year away (as calculated from my point of view on earth) will be able to calculate real times based on signals sent back and forth. What I mean is this planet has some information (my twins time stamp as he passed by), and they beam it back to earth. On earth I receive this signal, and I know it has taken exactly 1 year according to my clock to travel the distance between us, therefor I can simply subtract one year from my clock to know what my clock read at the time the time stamp was produced.

Does that logic work? If so what would my twins corresponding "local time" be at each point?

I'm not looking for real numbers here, just generalizations.

Like at At=0, Bt=0

then B accelerates quickly and sends a time stamp as he passes, so At=0.01 (or something super small) and Bt=???? less than my time? or more?

then right as twin B passes the planet 1 light year away (from A's point of view) At=1yr, Bt=??

At= time read on twin A's clock from A's own perspective

Bt = time read on twin B's clock from B's own perspective.