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Benedict Irwin added Aside.tex
over 9 years ago
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\section{Aside}
Consider that if a number is \begin{equation}
N = \prod_i p_i^{q_i}
\end{equation}
with primes $p$ and some integer powers $q$.
Then \begin{equation}
log(N)=\sum_j q_jlog(p_j)
\end{equation}
Now if all the $p_j$ are orthogonal in some sense, and the infinite number of primes form a Hilbert space, we have a loose anology as the log of a number being a wavefunction as \begin{equation}
\Psi(x,t) = \sum_n a_n\psi_n(x,t)
\end{equation}
