deletions | additions       diff --git a/Prime Factors.tex b/Prime Factors.tex  index 890efb1..90b12a7 100644  --- a/Prime Factors.tex  +++ b/Prime Factors.tex 
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etc.  \end{equation}  The benifits of the negative notation is the allowance of integer fractions for example $\frac{2}{3}=|1,-1,0,..>$.  This representation is nice. A key feature is that the product of two numbers is the term for term addition of their two states! For example $2\cdot3=6$ is $|1,0,...>+|0,1,...>=|1,1,...>$. This is from the normal rules of number multiplication. We also then know that each state is unique to a single number. A division process is then the subtraction of two states. For example $8/2=4$ is expressed $|3,0,..>-|1,0,..>=|2,0,..>$. This implies that negative entries are allowed in the state vectors! Something quantum field theory does not normally have, therefore the coefficients on any operation must be made to reflect this, OR, this may be expressed in the condition that $n/0 = \infty$ for certain operations. The concept of zero is again hard to define! $0/n=0$, so we require a state that with anything taken from it is still the same state!  This would lead to the state \begin{equation}  0=|\infty,\infty,\infty,...>