📕 subnode [[@vera/universal topography]] in 📚 node [[universal-topography]]
• I am starting with a disclaimer that while this concept uses science and math it is categorically metaphysical and should be used for educational purposes only

• We model the universe as a bit matrix of

• the size of the matrix is equal to maxium entropy of the system, for our example we use a value of 4, but you could just as easily plugin the maximum entropy of the actual univserse (1e122 according to Max Tegmark)
• initial universe configuration "empty universe" (pre big bang)

• this represents a universe with a max entropy of 4 (4 bit slots)
• universes move from one matrix stage to the next, each stage can exist in a set of superpositions, a superposition is represented by the total amount of possible combinations in that stage e.g.

• stage one
• one bit is added to our matrix
• we see in this stage there are four possible superpositions
• we can traverse from stage zero to any superposition in stage one
• in the many worlds interpretation of quantum mechanics there is a link between stage zero and all superpositions of stage one
• Counting the number of superpositions is intuitive all small values but can be computed for large values using the combination formula
• n here is the total entropy of our system, r is the stage number
• for stage one 4C1 = 4!/(1!3!) = 4
• stage two
• ## in stage two we are working with two bits of data, using the combination formula we see that the total number of superpositions in stage two is 6

$\begin{bmatrix}1 & 0\0 & 0\end{bmatrix}$$\begin{bmatrix}0 & 1\0 & 0\end{bmatrix} \begin{bmatrix}0 & 0\1 & 0\end{bmatrix}$$\begin{bmatrix}0 & 0\0 & 1\end{bmatrix}$

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