Chapter 15: Problem 9
One way to set up the system of synchronized clocks in a frame \(\mathcal{S}\), as described at the beginning of Section 15.4, would be for the chief observer to summon all her helpers to the origin \(O\) and synchronize their clocks there, and then have them travel to their assigned positions very slowly. Prove this claim as follows: Suppose a certain observer is assigned to a position \(P\) at a distance \(d\) from the origin. If he travels at constant speed \(V\), when he reaches \(P\) how much will his clock differ from the chief's clock at \(O\) ? Show that this difference approaches 0 as \(V \rightarrow 0\).
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.