Exactly ! Thanks for your answer Chris. And this is where it gets interesting: whereas, in static 3D mathematics, when we relate circular to linear, when we measure circular in a linear way, we introduce the concept
π as a conversion constant. When we leave the field of pure mathematics, we are entitled to ask ourselves what distinguishes math from physics by verifying whether, in the field of dynamics, the externally and theoretically observed value of
π is always the same.
Let's not forget that when we pass from kinematics to dynamics, in Einstein relativity,
π already varies for extremely high speeds. And as we describe the circular, starting from the linear, through
π, wouldn't
π finally describe the relation of forces between the linear and the circular? The question is entitled to ask when we remember that the C's told us that in 4D, we perceive the inside and the outisde, at the same time, thanks to the 4th "dimension" that Einstein identified with linear time, for linear and non-circular movements.
Instead of having to reach speeds close to the speed of light to observe a different
π, in linear speed, we could obtain the same result by difference of a linear speed and a circular speed? In other words, could an observed difference between linear velocity and acceleration result in a different
π? Interestingly, you talk about additional force, where the C's talk about an additional spatial reference to better understand reality.
Even more surprisingly, we can observe elements that go in the same direction with the cycloid. What if instead of adding a force, we could modify our mathematical constants? In any case, there is only experience to settle the debate.