chroot
Prosoothus,
Actually I think I agree with ch on this one. But the following is my response on the same issue to everneo under topic "3 Clocks.
Prosoothus,
Actually I think I agree with ch on this one. But the following is my response on the same issue to everneo under topic "3 Clocks.
Finally
everneo,
Congratulations. Somebody actually is starting to understand the problem.
If you have followed this string you know I have said my objection was not the concept of Relativity and Lorentz Contraction. It is and has been the improper description of relavists of using the Pi ratio as an analogy.
Velocity should (rim affect) shrink by velocity, the radius should shrink by acceleration (equivelent gravity). But the case has been argued haphazardly in one case that the rim changes but the radius doesn't. Then it is the rim doesn't but the radius does.
In either of these cases you get what you refer to a collasp of the merry-go-round (and as I stated the struts puncturing the rim).
And in any case at the rim, radius or both, the merry-go-round and a ruler is subjected to the same geometry and affects of Relativity which means there should be no measurable affect on Pi by definition.
I fully understand drawing circles on a sphere. Solid geometry. But for example in solid geometry you can refer to "Solid Angles" or "Steradians" but it is improper to refer to degrees angle because a triangle in solid geometry doesn't have 180 degrees included angles.
Likewise Pi is defined as the ratio between the diameter of a circle and its circumference. Not some variable ratio between the radius of a sphere and a circle drawn on its sufrace.
So the entire problem here is two fold.
1 - One Either the lack of understanding by the responders or their incapacity to communicate, not my lack of understanding anything yet discussed.
2 - The failure of explaining how Pi (the ratio of the diameter of a circle to its circumference) changes relavistically when the ruler and merry go round, in any geometry, must also be subjected to the same affect of Relativity which cancels any mearsuremental change.
Your response has been appreciated.