Kochen-Specker Theorem in Krein Space

Two-Valued Probability Measure on the Pontryagin Space

“…The proof of Theorem 1 consist of several steps. In[4] we have proved Theorem 1 in the real Pontryagin space dim H = 3.Theorem 2 On the real Pontryagin space of dimension three there is unique two-valued probability measure. Let H = H + [+]H − be a real Pontryagin space dim H = 3.…”

“…There are many papers devoted to the problem of hidden variables in quantum mechanics and to the Kochen-Specker theorem [3] (see references in [4]). In the paper we present an analogy of Kochen-Specker's theorem in Krein space: There is unique two-valued probability measure on the real or complex Krein space H , dim H ≥ 3 if and only if the indefinite rank of H is equal to one i.e.…”