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

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Presentation transcript:

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

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

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

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

 Defined Hilbert Space of  ’s

The Truth with  Real Truth

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

Weak Law of Large Numbers     Example

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

Independent segments t independent given

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

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

Ed, what do you think ?