- 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) - ![[Pasted image 20210604121534.png]] - 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 - ![[Pasted image 20210604122001.png]] - 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 - ![[Pasted image 20210604122655.png]] - 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}$