Physical model for the electron spin correlation

. In line with a previous result obtained within the framework of the quantum formalism, the probability space is partitioned according to the sign of the product

A=\alpha\beta

of the individual spin projections

\alpha

and

\beta

onto

\boldsymbol{a}

and

\boldsymbol{b}

; this precludes the transfer of

\alpha

\beta

from

C_{Q}(\boldsymbol{a},\boldsymbol{b})

C_{Q}(\boldsymbol{a},\boldsymbol{b'})

, for

\boldsymbol{b'}\neq\boldsymbol{b}.

A specific physical model that reproduces the quantum spin correlation serves to validate our approach.

Related papers

Geometric model for the electron spin correlation

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The quantum formula for the spin correlation of the bipartite singlet spin state, $C_{Q}(\boldsymbol{a},\boldsymbol{b})$ , is derived on the basis of a probability distribution $ρ(ϕ)$ that is generic, i. e., independent of $(\boldsymbol{a},\boldsymbol{b})$ . In line with a previous result obtained within the framework of the quantum formalism, the probability space is partitioned according to the sign of the product $A=αβ$ of the individual spin projections $α$ and $β$ onto $\boldsymbol{a}$ and $\boldsymbol{b}$ . A specific partitioning and a corresponding set of realizations {$ ϕ$} are associated with every measurement setting $(\boldsymbol{a},\boldsymbol{b})$ ; this precludes the transfer of $α$ or $β$ from $C_{Q}(\boldsymbol{a},\boldsymbol{b})$ to $C_{Q}(\boldsymbol{a},\boldsymbol{b'})$ , for $\boldsymbol{b'}\neq\boldsymbol{b}.$ A geometric model that reproduces the spin correlation serves to validate our approach, giving a concrete meaning to the quantum result in terms of a (local random variable) probability distribution.The quantum formula for the spin correlation of the bipartite singlet spin state, $C_{Q}(\boldsymbol{a},\boldsymbol{b})$, is derived on the basis of a probability distribution $ρ(ϕ)$ that is generic, i. e., independent of $(\boldsymbol{a},\boldsymbol{b})$. In line with a previous result obtained within the framework of the quantum formalism, the probability space is partitioned according to the sign of the product $A=αβ$ of the individual spin projections $α$ and $β$ onto $\boldsymbol{a}$ and $\boldsymbol{b}$. A specific partitioning and a corresponding set of realizations {$ ϕ$} are associated with every measurement setting $(\boldsymbol{a},\boldsymbol{b})$; this precludes the transfer of $α$ or $β$ from $C_{Q}(\boldsymbol{a},\boldsymbol{b})$ to $C_{Q}(\boldsymbol{a},\boldsymbol{b'})$, for $\boldsymbol{b'}\neq\boldsymbol{b}.$ A geometric model that reproduces the spin correlation serves to validate our approach, giving a concrete meaning to the quantum result in terms of a (local random variable) probability distribution.

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The quantum formula for the spin correlation of the bipartite singlet spin state,

C_{Q}(\boldsymbol{a},\boldsymbol{b})

, is derived on the basis of a probability distribution

\rho(\phi)

that is generic, i. e., independent of

(\boldsymbol{a},\boldsymbol{b})

. In line with a previous result obtained within the framework of the quantum formalism, the probability space is partitioned according to the sign of the product

A=\alpha\beta

of the individual spin projections

\alpha

and

\beta

onto

\boldsymbol{a}

and

\boldsymbol{b}

; this precludes the transfer of

\alpha

\beta

from

C_{Q}(\boldsymbol{a},\boldsymbol{b})

C_{Q}(\boldsymbol{a},\boldsymbol{b'})

, for

\boldsymbol{b'}\neq\boldsymbol{b}.

A specific physical model that reproduces the quantum spin correlation serves to validate our approach.

The quantum formula for the spin correlation of the bipartite singlet spin state,

C_{Q}(\boldsymbol{a},\boldsymbol{b})

, is derived on the basis of a probability distribution

ρ(ϕ)

that is generic, i. e., independent of

(\boldsymbol{a},\boldsymbol{b})

. In line with a previous result obtained within the framework of the quantum formalism, the probability space is partitioned according to the sign of the product

A=αβ

of the individual spin projections

α

and

β

onto

\boldsymbol{a}

and

\boldsymbol{b}

. A specific partitioning and a corresponding set of realizations {$ ϕ$} are associated with every measurement setting

(\boldsymbol{a},\boldsymbol{b})

; this precludes the transfer of

α

β

from

C_{Q}(\boldsymbol{a},\boldsymbol{b})

C_{Q}(\boldsymbol{a},\boldsymbol{b'})

, for

\boldsymbol{b'}\neq\boldsymbol{b}.

A geometric model that reproduces the spin correlation serves to validate our approach, giving a concrete meaning to the quantum result in terms of a (local random variable) probability distribution.