Abstract
In 1981, Caianiello showed that maximal acceleration arises when quantum considerations, namely the position-momentum uncertainty relations, are incorporated into the geometry of a particle in eight-dimensional phase space. The time-energy uncertainty relation was later used by Caianiello in an alternative derivation of maximal acceleration. The alternative derivation, given in 1984, was subsequently criticized by Sharma and Srirankanathan. This criticism is shown here to be unfounded. Caianiello’s 1984 derivation is also analyzed. It is found that, while maximal acceleration follows from an equation due to Landau and Lifshitz, this equation cannot be treated as a consequence of the time-energy uncertainty relation.
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