Volume 2, Issue 3, pages 121-126
Ruth E. Kastner [Show Biography]
Ruth E. Kastner received her B.S., cum laude with high honors in physics, and after picking up an M.S. in physics from the University of Maryland, College Park in 1992, decided to pursue her interest in the foundational aspects being studied at the UMCP Philosophy Department. She received her Ph.D. in Philosophy (History and Philosophy of Science) with J. Bub as her dissertation advisor in 1999. She has won two National Science Foundation awards for her study of interpretational issues in quantum theory, and is Research Associate in the Foundations of Physics Group at UMCP. She wrote the first book-length treatment of the Transactional Interpretation of Quantum Mechanics (Cambridge, 2012) and followed that with a conceptual presentation of TIQM for the general reader (Understanding Our Unseen Reality: Solving Quantum Riddles, Imperial College Press, 2015). She serves as Editor (with Jasmina Jeknic’-Dugic’ and George Jaroszkiewicz) for a forthcoming collection, Quantum Structural Studies (World Scientific, 2016). She has over two dozen peer-reviewed publications and regularly attends international conferences on Foundations of Physics, where she is often an invited speaker. She currently resides in upstate New York.
It is shown that violation of the Born Rule leads to a breakdown of the correspondence between the quantum electromagnetic field and its classical counterpart. Specifically, the relationship of the quantum coherent state to the classical electromagnetic field turns out to imply that if the Born Rule were violated, this could result in apparent deviations from the energy conservation law applying to the field and its sources (Poynting’s Theorem). The result, which is fully general and independent of interpretations of quantum theory, suggests that the Born Rule is just as fundamental a law of Nature as are the field conservation laws.
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Ruth Kastner wrote on August 21, 2016 in a discussion forum arising out of the AAAS June 15-16 Retrocausality III Workshop at the University of San Diego
e.g. https://vimeo.com/171013596
https://vimeo.com/171178181 (Rod Sutherland)
“However as Jack has pointed out, this involved violation of the Born Rule, and as I’ve pointed out, there would be in-principle empirically observable violations of Maxwell’s eqs if such violations involve coherent field states. This could serve as a test of Jack’s model, so I think he should embrace those predictions.”
to which I replied:
The Glauber coherent states defined here
https://en.wikipedia.org/wiki/Coherent_states
do not exist without the Born rule.
This is the problem with your argument.
The real problem here is to find the solution for
post-quantum coherent “Frohlich”-? states 😉
in which Sutherland’s complete post-quantum Lagrangian is used prior to his taking the quantum limit where he integrates over the final destiny <f| states and ad hoc inserts the Born rule as the weighting factor in his integral
i.e. P(f|i) = ||^2 in his integral
This procedure reduces the non-unitary nonlinear operator post-quantum Aharonov weak measurement Lagrangian to the linear operator unitary quantum evolution using only the retarded forward in time |i> evolution that Henry Stapp mistakenly thinks he can explain consciousness with.
Henry Stapp also contradicts himself because any biasing of the Born rule is a direct violation of the core principle of orthodox quantum theory.
That said
Post-quantum Frohlich coherent states limit to quantum Glauber coherent states when Sutherland’s action-reaction Lagrangian is forced to zero.
However, Ruth does have a point that in living matter it is the post-quantum Frohlich coherent states that should exist.
There will be no problem with energy conservation as Sutherland proves quite generally.
The coherent state obeys
a|z> = z|z>
a is the boson destruction operator
z is the complex number coherent amplitude and phase like in ordinary classical electrical engineering in a given mode of the boson harmonic oscillator
where
da/dt = [H,a]
H = Hermitian operator for the “energy”
However in post-quantum theory
da’/dt = [H’,a’]
H’ is now a non-Hermitian nonlinear Aharonov weak measurement operator on the advanced destiny Hilbert spaces.
This is a whole new mathematics that must be developed.
I am sure the pure mathematicians have already done it somewhere in the literature.
Typo correction
. P(f|i) = ||^2 in his integral
should be
. P(f|i) = ||^2 in his integral
Sorry it’s the bracket symbol not showing up – let me try again
Typo correction
. P(f|i) = ||^2 in his integral
should be
. P(f|i) = |(f|i)|^2 in his integral