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Unreal Probabilities by Carlos C. Rodriguez Dept. of Mathematics The University at Albany

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1 Unreal Probabilities by Carlos C. Rodriguez Dept. of Mathematics The University at Albany carlos@math.albany.edu

2 Real Probability  Whole   if   :  [  ]

3 Real Probability  Whole   if   :  [  ]

4 The Axioms  Boolean algebra of propositions:  , Clifford algebra:  Operations: OR :  AND:  NOT:    FALSE  TRUE

5  Defined Hilbert Space of  ’s

6 The Truth with  Real Truth

7 Independence  makes  and  independent given  if symmetric includes usual formula generalizes to more than two propositions

8 Weak Law of Large Numbers     Example

9 QM        Boolean algebra of filters:  “x open at time t” “one filter on top of the other”

10 Independent segments t independent given

11 QM Dictionary Amplitude Wave function Hamiltonian   commutes will all the  ’s

12 Schrödinger Equation ( generalized for possible non commuting  ’ s with independent segments)

13 Ed, what do you think ?


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