Heisenberg Uncertainty Principle Extended to \textit{n-plets}

POSTER

Abstract

All measurable properties of a physical system come in n-plets; as one measures a member of the \textit{n-plets }very accurately, consequently the other left \textit{n-1} members of the \textit{n-plets} are measured very inaccurately. If there is a minimum uncertainty in a member's measurement, there is a maximum uncertainty in the other \textit{n-1} members' measurements. The product of the n uncertainties corresponding respectively to the measurements of the $n$ members is constant: $u_{1}$\textit{\textbullet u}$_{2}$\textit{\textbullet \textellipsis \textbullet u}$_{n} = h =$\textit{ 6.626 $\times$ 10}$^{-34}$\textit{ kg m}$^{2} s^{-1}$ where $h$ is Planck's constant. \begin{itemize} \item Open Question: If possible to simultaneously measure $m$ members of the \textit{n-plets} very accurately, for \textit{2 }$\le m \le $\textit{ n-1} would consequently result that the other left $n-m$ members of the \textit{n-plets} are measured very inaccurately? \end{itemize}

Authors

  • Florentin Smarandache

    University of New Mexico