P
Perion
- Jan 1, 1970
- 0
And so with any motion related phenomena. Person A is on a flatbed rail car.Sylvia Else said:I'm not disagreeing with Kevin, but there is a simple thought experiment
that shows how careful one must be about taking a theory, such as that
of James Clerk Maxwell, and attempting to use it as anything more than a
description.
Take two electrons, separated in space, stationary relative to some
observer. There's an electric field, obviously, but no magnetic field.
Now take another observer moving perpendicularly to the line joining the
electrons. This observe sees the electrons in motion. Electrons in
motion are an electric current, and an electric current produces a
magnetic field, so for that observer there is a magnetic field present.
So one observer finds a magnetic field present where another observer
finds none. The notion that a magnetic field has a concrete existence is
clearly problematic. This paradox doesn't appear in the theory itself,
because it simply tells you what will happen (or more exactly, what your
measurements will show). It doesn't say anything about what is "really"
there.
Just as the train passes a road crossing A tosses a tennis ball straight up to a
height h and catches it as it comes back down. Person A calculates the distance
the ball has traveled as 2h. Person B is stopped at the crossing watching the
train go by and sees the ball as moving through a parabolic arc. He calculates
that the ball has moved a distance through space equal to the length of the
parabola, greater than 2h. The two observers arrive at completely different
values and describe completely different trajectory geometries. So, how far did
the ball REALLY move through space and what was its ACTUAL trajectory? What was
the ball's ACTUAL kinetic energy in the direction of the train's motion? A says
zero, B says it's half the mass of the ball times the velocity of the train
squared. Either the ball has energy or doesn't - who's right. The problem is
that even notions as simple as "trajectory" or "kinetic energy" aren't entities
in themselves but arise as part of a relationship between the motion of observer
with observed.
Perion