rbwang1225 said:In the book of ED of Griffiths, p.506, prob. 12.22, I don't understand why the solution manual says that one can say she arrived at B before she left A?
Any help would be appreciated.
The "World Line" problem, also known as the "Light Cone" problem, is a theoretical physics problem that involves finding the world line of a particle moving in space-time, given its initial position and velocity. This problem is commonly used in special relativity and is a fundamental concept in understanding the behavior of particles in the universe.
P.506 and prob. 12.22 refer to page 506 and problem 12.22 in the book "Introduction to Electrodynamics" written by ED Griffiths. This specific problem discusses the "World Line" problem and provides a solution for it.
The solution to p.506, prob. 12.22 provides a mathematical framework for calculating the world line of a particle moving in space-time. It takes into account the effects of special relativity, such as time dilation and length contraction, to accurately describe the motion of the particle.
The "World Line" problem has practical applications in various fields such as astrophysics, particle physics, and engineering. It is used to understand the motion of particles in extreme conditions, such as near black holes or at high speeds. It also helps in the design of electronic devices, which use principles of special relativity.
The solution proposed in p.506, prob. 12.22 is based on the assumptions of special relativity. Therefore, it may not accurately describe the motion of particles in situations where the effects of general relativity are significant, such as in the vicinity of massive objects. Additionally, the solution assumes a flat, Minkowski space-time, and may not be applicable in curved space-time.