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retrocausal nonlocal noncommutative photon quantum weirdness Valentina Parigi & John G. Cramer
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My own take on a quantum weirdness noncommutative photon experiment!!
Ruth E. Kastner, Ph.D. on quantum physics, transactional model
"Basically RTI agrees with this in the sense that metrical time
(the 'time' of 'spacetime') is generated by transactions, which
always involve the 'choice' of a particular observable, so that there
is a commutative space for the emission and absorption events. But
this is physically real--it really happens-- it's not a matter of our
ignorance. Metrical time is really physically generated. So when we
perceive the passage of time in this way, it's not illusory. It's
veridical. Only the measure of 'how much time has passed' is relative
to our inertial frame--our internal clock at the quantum level, which
is also physically real and based on the intrinsic periodicity of
fermionic spin. The latter however is not a spacetime process. See
Chapter 8 of my 2nd edition, excerpted material here:
" It is reasonable to think that there are also two ways to define WF [Wigner Function] in the deformation quantization of NCQM. [noncommutative quantum mechanics] In the NCQM case, Eq. (2) has
been extended to Eq. (6) to reflect the characteristic of noncommutative space. Correspondingly, as in this work we
demonstrated, Eq. (1) should also be replaced by Eq. (12) to give the WF of NCQM. Once having solutions of the effective Schrödinger equation (3) of NCQM, one can obtain the related WF by Eq. (12)."
A new form of Wigner functions on the noncommutative space ✩
Sicong Jing ∗, Taihua Heng, Fen Zuo
There are very compelling, and in my opinion enlightening reasons to call the Weyl transform a noncommutative Fourier transform.
Quantum theories can be naturally interpreted as noncommutative probability theories. The observables are noncommutative random variables, and states are noncommutative probabilities.
The Weyl observables are unitary, and therefore noncommutative phases. In fact, they exactly play the role of noncommutative characters.
Regardless, the Weyl–Wigner transform is a well-defined integral transform between the phase-space and operator representations, and yields insight into the workings of quantum mechanics. Most importantly, the Wigner quasi-probability distribution is the Wigner transform of the quantum density matrix, and, conversely, the density matrix is the Weyl transform of the Wigner function.
the latter two are unaffected by the non-commutative parameter θ, however,
both the butterfly and entanglement velocities increase with the strength of the non-commutativity. This implies that non-local interactions can enhance the effective light-cone for the transfer of quantum information, eluding previously conjectured bounds encountered in the context of local quantum field theory. We comment on a possible limitation on the retrieval of quantum information imposed by non-locality.
. With this holographic definition, it has been shown that for small enough regions the entanglement entropy follows instead
a volume law, while for large regions the standard area law (2.11) is recovered [88, 89]. This transition from a volume law to an area law behaviour has also been observed in quantum field theory calculations [90–92] and has been understood as a result of the non-
locality inherent of non-commutative theories [93, 94]
In this paper it was found that the entanglement velocity vE is
generically larger that the commutative counterpart, even exceeding the speed of light in the limit of very strong non-commutativity."
"We formulate an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes. It is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigner function negativity. "
Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States
Mattia Walschaers, Claude Fabre, Valentina Parigi, and Nicolas Treps
Phys. Rev. Lett. 119, 183601 – Published 31 October 2017
For mixed initial states, it is unclear that
subtraction or addition in a mode which is not part of such a
mode basis automatically leads to inherent entanglement,
because also convex decompositions which are not of the
form (12) must be considered.
Ruth E. Kastner, Ph.D. on quantum physics, transactional model
"Basically RTI agrees with this in the sense that metrical time
(the 'time' of 'spacetime') is generated by transactions, which
always involve the 'choice' of a particular observable, so that there
is a commutative space for the emission and absorption events. But
this is physically real--it really happens-- it's not a matter of our
ignorance. Metrical time is really physically generated. So when we
perceive the passage of time in this way, it's not illusory. It's
veridical. Only the measure of 'how much time has passed' is relative
to our inertial frame--our internal clock at the quantum level, which
is also physically real and based on the intrinsic periodicity of
fermionic spin. The latter however is not a spacetime process. See
Chapter 8 of my 2nd edition, excerpted material here:
" It is reasonable to think that there are also two ways to define WF [Wigner Function] in the deformation quantization of NCQM. [noncommutative quantum mechanics] In the NCQM case, Eq. (2) has
been extended to Eq. (6) to reflect the characteristic of noncommutative space. Correspondingly, as in this work we
demonstrated, Eq. (1) should also be replaced by Eq. (12) to give the WF of NCQM. Once having solutions of the effective Schrödinger equation (3) of NCQM, one can obtain the related WF by Eq. (12)."
A new form of Wigner functions on the noncommutative space ✩
Sicong Jing ∗, Taihua Heng, Fen Zuo
There are very compelling, and in my opinion enlightening reasons to call the Weyl transform a noncommutative Fourier transform.
Quantum theories can be naturally interpreted as noncommutative probability theories. The observables are noncommutative random variables, and states are noncommutative probabilities.
The Weyl observables are unitary, and therefore noncommutative phases. In fact, they exactly play the role of noncommutative characters.
Regardless, the Weyl–Wigner transform is a well-defined integral transform between the phase-space and operator representations, and yields insight into the workings of quantum mechanics. Most importantly, the Wigner quasi-probability distribution is the Wigner transform of the quantum density matrix, and, conversely, the density matrix is the Weyl transform of the Wigner function.
the latter two are unaffected by the non-commutative parameter θ, however,
both the butterfly and entanglement velocities increase with the strength of the non-commutativity. This implies that non-local interactions can enhance the effective light-cone for the transfer of quantum information, eluding previously conjectured bounds encountered in the context of local quantum field theory. We comment on a possible limitation on the retrieval of quantum information imposed by non-locality.
. With this holographic definition, it has been shown that for small enough regions the entanglement entropy follows instead
a volume law, while for large regions the standard area law (2.11) is recovered [88, 89]. This transition from a volume law to an area law behaviour has also been observed in quantum field theory calculations [90–92] and has been understood as a result of the non-
locality inherent of non-commutative theories [93, 94]
In this paper it was found that the entanglement velocity vE is
generically larger that the commutative counterpart, even exceeding the speed of light in the limit of very strong non-commutativity."
"We formulate an analytical expression of the Wigner function after the subtraction or addition of a single photon, for arbitrarily many modes. It is used to demonstrate entanglement properties specific to non-Gaussian states and also leads to a practical and elegant condition for Wigner function negativity. "
Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States
Mattia Walschaers, Claude Fabre, Valentina Parigi, and Nicolas Treps
Phys. Rev. Lett. 119, 183601 – Published 31 October 2017
For mixed initial states, it is unclear that
subtraction or addition in a mode which is not part of such a
mode basis automatically leads to inherent entanglement,
because also convex decompositions which are not of the
form (12) must be considered.
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