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The imaginary unit i=√-1, is not a real number, it is a math construct that intertwines with real numbers in the complex number plane. This intertwining produces real measurable effects in the physical world without in fact being real. The first derivative of the exponential function in Euler's formula reveals that circular motion is encoded with the imaginary unit i, here it represents a direction perpendicular to the circle's radius at every point on the circle. So linear motion is actually the limiting case of circular motion. Where you get piecewise linearity for very small sections of the circle(sect→0). And linearity over larger sections as the radius increases(r→∞).

This is why the kinetic energy formula for linear motion applies to circular motion as well:

Krot = ½Iw²

Where: w is angular velocity and I is moment of inertia 

A point mass m at radius r has a moment of inertia(I):

I = mr² and v = wr

Krot = ½mr²w² = ½mv²

By keeping the encoded imaginary unit i, we get:

Krot = ½m(iv)² = -½mv²

Here the -1 operator encodes an opposing kinetic energy to positive kinetic energy, it's a form of effective negative energy. Being real in effect but not in actual fact.

So what are we saying here. We are saying that the idea that kinetic energy is always positive only applies to real numbers and real physical boundaries in the physical world. But √-1 is not a real number, it's a math construct or abstract space, which I believe is associated with the quantum vacuum. The moment you encode circular motion with i, you leave the physical world and enter an imaginary dimension or abstract space.

We are saying that when circular motion can be approximated with linear motion or flatness; then we are dealing with real physical boundaries and real numbers on the real axis in the complex number plane. But once curvature becomes significant, real effects will emerge from sources that aren't physically real, because of the emergence of the imaginary unit i on the imaginary axis of the complex number plane.