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1) The origin: Conservation laws → Correlation
It’s the laws of conservation of energy, momentum, angular momentum,
that necessitates a correlation between the outcome of separated random
quantum processes. Specifically, the random process which is known under
various names as the projection, the Born rule, the collapse of the wave
function.
e.g: The Compton scattering of a photon on an electron is governed by the
conservation of energy and momentum, once the direction of the scattered
photon is detected we also know the direction of the electron hit by the
photon.
2) Bell inequalities violate the laws of conservation
They violate the conservation laws because they consider the separated
random quantum processes as being independent. The Bell type local
hidden variables can not be responsible for the required correlation because
they are merely input parameters for independent random processes while
they should actually override the randomness of the process.
e.g: The polarization angle of a photon is used as an input parameter when
the photon passes a polarizing filter or a Wollaston prism. Being merely an
input parameter is not sufficient to override the randomness of the process
and as a consequence the laws of conservation are violated. (There is not
enough correlation)
3) Locality vs non-locality
The process responsible for the correlation can either be local or non-local.
It is difficult to disprove locality (and prove non-locality) because there is
always a common origin, (The physical interaction between the two particles)
4) The full path history is required for the conservation laws
It is not sufficient to have a “last moment non-local communication” in
order to preserve the conservation laws. In general each particle can go
through several devices which modify direction (momentum), the angle of
polarization, et-cetera. All these changes must be accounted for.
e.g: If one particle is detected with spin up then the other particle must be
detected with spin down in certain experiments to conserve the angular
momentum. However, if a “spin-flipper” is placed in the path of one of the
particles then both particles must be detected with the same spin. The
history of the particle along its entire path is required.Regards, Hans
1) The origin: Conservation laws → Correlation
It’s the laws of conservation of energy, momentum, angular momentum,
that necessitates a correlation between the outcome of separated random
quantum processes. Specifically, the random process which is known under
various names as the projection, the Born rule, the collapse of the wave
function.
e.g: The Compton scattering of a photon on an electron is governed by the
conservation of energy and momentum, once the direction of the scattered
photon is detected we also know the direction of the electron hit by the
photon.
2) Bell inequalities violate the laws of conservation
They violate the conservation laws because they consider the separated
random quantum processes as being independent. The Bell type local
hidden variables can not be responsible for the required correlation because
they are merely input parameters for independent random processes while
they should actually override the randomness of the process.
e.g: The polarization angle of a photon is used as an input parameter when
the photon passes a polarizing filter or a Wollaston prism. Being merely an
input parameter is not sufficient to override the randomness of the process
and as a consequence the laws of conservation are violated. (There is not
enough correlation)
3) Locality vs non-locality
The process responsible for the correlation can either be local or non-local.
It is difficult to disprove locality (and prove non-locality) because there is
always a common origin, (The physical interaction between the two particles)
4) The full path history is required for the conservation laws
It is not sufficient to have a “last moment non-local communication” in
order to preserve the conservation laws. In general each particle can go
through several devices which modify direction (momentum), the angle of
polarization, et-cetera. All these changes must be accounted for.
e.g: If one particle is detected with spin up then the other particle must be
detected with spin down in certain experiments to conserve the angular
momentum. However, if a “spin-flipper” is placed in the path of one of the
particles then both particles must be detected with the same spin. The
history of the particle along its entire path is required.Regards, Hans
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