Logic is the cornerstone of physics.
If the premisses are valid and a deduction based solely on those premisses is valid, then the conclusion must also be valid.
Conservation of angular momentum in a variable radii system has not been verified by rigorous scientific experiment. There is no famous experiment. In more than a year of discussions, not one detractor has managed to produce any reference to any experiment which does confirm it.
My efforts here are purely in the interests of exposing a long hidden fault.
If simply reading this presentation is upsetting to you, please consider that the cause might be due to cognitive dissonance.
I would really appreciate it if you could avoid targeting your anger towards me as I am merely the messenger. I have no option, since making this discovery, other than to try and make it known.
I hope you can see that censoring this information is not the most intelligent course of action.
Both angular momentum and momentum are generally accepted by scientists to be conserved values, and both of these variables are contained within the equation L = r x p, where L corresponds to angular momentum, r corresponds to radius, and p corresponds to momentum. Assuming that the implied rotation occurs around a central point, the magnitudes of angular momentum and momentum cannot both be conserved when the magnitude of the radius changes. The generally accepted principle is that the magnitude of the momentum must change in order to conserve angular momentum. However, it is logically proven that it is the magnitude of the component of momentum perpendicular to the radius that must be conserved.
While working on a project that did not achieve the results predicted, I stumbled upon this oversight within the laws of physics.
For the equation L = r x p(1) assuming that the implied rotation occurs around a central point.
Premise 1: There is a force at all times directed from the point mass along the radius toward the centre of rotation (centripetal force).
Premise 2: A change in the magnitude of radius is conducted by altering the magnitude of this force.
Premise 3: There can be no component of this force perpendicular to the radius.
Premise 4: In order to affect the magnitude of the component of momentum perpendicular to the radius, one must apply a parallel component of force (Newton’s first law).
A change in the magnitude of the radius cannot affect the magnitude of the component of momentum perpendicular to the radius.
In the equation L = r x p, assuming that the implied rotation occurs around a central point, it is the magnitude of the component of momentum perpendicular to the radius that must be conserved when the magnitude of the radius changes.
1) D. Halliday & R. Resnick, Fundamentals of Physics, second edition, extended version (John Wiley & Sons, Inc., New York, 1981) p. 181.