LAUSR

A quantum description is used to find the time limit for balancing an idealized pencil-like object on end. In agreement with some prior studies, analysis for this system shows that quantum effects are not observable in any foreseeable circumstances, either by casual experimentation or by extensive laboratory preparation. A direct solution of Schrodinger’s equation avoids an a priori use of the Heisenberg uncertainty relation in the classical equations of motion, which, although very much a proper usage, may lead to misunderstanding of the results. The classical equations of motion are adequate for the pencil in all circumstances.