Dear Tigersimmo,
I'm not sure what our missing connection is, but if you rest a putter shaft on the far side of a rail parallel to your putt line and run the putter shaft back and forth along the rail, the putter sweetspot MUST by definition run in a straight line. The putter head may rise vertically off the ground going back and going forward, but the sweetspot does not ever come inside the line.
And, similarly, if you setup a putter with the shaft resting under a rail and touching it, and run the shaft left and right along the rail, the same is true.
The only way the putter sweetspot comes inside when running the shaft along a rail is when the arms or hands twist the face out of plane (and the hosel is not centered at the sweetspot). Moving the shoulders in a plane parallel to the putt line (either vertical or tilted) is about all there is to a straight stroke. When the plane of motion is tilted, the shoulders move not straight up and down but out a little too, and this action results in the putter head moving STRAIGHT but the rising of the putter head behind and in front of the bottom of the stroke describes a "smile" shape that is titled too. This makes the putter sweetspot "appear" to move inside the line of the putt, but only if you view the putter looking vertically down on the line of the putt. If your eyes were centered inside the tilted plane looking out to the ground, you would see the putter and its sweetspot remaining perfectly on line at all times.
So a vertical stroke action of the shoulders in a plane parallel to the putt line produces a straight movement of the putter head back and forth, albeit rising on either side of the bottom. With no twisting of hands or arms, the sweetspot stays on line and the face stays square. This is what happens when you run the putter shaft along a rail with a vertical stroke motion of the shoulders.
Cheers!
Geoff Mangum
Putting Theorist and Instructor
Geoff Mangum's PuttingZone
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