Understanding Time Dilation in Einstein's Theory of Relativity

[cos]

In section 4 STR Einstein wrote -

"If one of two synchronous clocks at A is moved in a closed curve with constant velocity until it returns to A, the journey lasting t seconds, then by the clock which has remained at rest the traveled clock on its arrival at A will be a .5tv^2/c^2 second slow. Thence we conclude that a balance-clock at the equator must go more slowly, by a very small amount, than a precisely similar clock situated at one of the poles under otherwise identical conditions."

What do people think he meant by the phrase "...must go more slowly..."?

Does anyone agree that he meant that the moving clock will tick over at a slower rate than (i.e. incur time dilation relatively to) the other clock?

 

[skeptic2]

You worded it much better than he did. Obviously the clock at the equator is traveling faster but ticking slower so what the author was saying is that the clock was going slower by going faster.

 

[Entropia]

Yes, it is commonly understood that Einstein meant that the moving clock will experience time dilation, meaning that it will tick at a slower rate compared to the stationary clock. This is a fundamental concept in Einstein's theory of relativity, which states that the passage of time is not constant and can be affected by factors such as velocity and gravity. In this case, the moving clock experiences time dilation due to its constant velocity, causing it to tick at a slower rate than the stationary clock. This concept has been extensively proven and verified through numerous experiments and observations.