- #1
snoopies622
- 840
- 28
I just had a strange thought:
In section 23 of his popular book, "Relativity - The Special and General Theory", Einstein explains why a clock on the edge of a rotating disk will run more slowly than one at the center, and then says,
"thus on our circular disk, or, to make the case more general, in every gravitational field, a clock will go more quickly or less quickly, according to the position in which the clock is situated (at rest)."
In the next paragraph he uses the same kind of argument - applying a prediction of special relativity to the rotating disk - to conclude that,
"the propositions of Euclidean geometry cannot hold exactly on the rotating disk, nor in general in a gravitational field.."
Since an observer on the disk will also notice a Coriolis force (if, say, he has a little Foucault pendulum and sets it in motion) why does it not then follow that every gravitational field is accompanied by a Coriolis acceleration? Are Einstein's arguments in this section simply disingenuous?
In section 23 of his popular book, "Relativity - The Special and General Theory", Einstein explains why a clock on the edge of a rotating disk will run more slowly than one at the center, and then says,
"thus on our circular disk, or, to make the case more general, in every gravitational field, a clock will go more quickly or less quickly, according to the position in which the clock is situated (at rest)."
In the next paragraph he uses the same kind of argument - applying a prediction of special relativity to the rotating disk - to conclude that,
"the propositions of Euclidean geometry cannot hold exactly on the rotating disk, nor in general in a gravitational field.."
Since an observer on the disk will also notice a Coriolis force (if, say, he has a little Foucault pendulum and sets it in motion) why does it not then follow that every gravitational field is accompanied by a Coriolis acceleration? Are Einstein's arguments in this section simply disingenuous?