On 4/24/2018 9:24 AM, agrayson2...@gmail.com wrote:
On Tuesday, April 24, 2018 at 4:10:30 PM UTC, Brent wrote:
On 4/24/2018 12:03 AM, agrays...@gmail.com <javascript:> wrote:
On Tuesday, April 24, 2018 at 5:14:25 AM UTC, scerir wrote:
According to Kennedy tensor product (in QM) has a very
interesting story.
https://philpapers.org/rec/KENOTE
<https://philpapers.org/rec/KENOTE>
On the empirical foundations of the quantum no-signalling
proofs
<https://philpapers.org/go.pl?id=KENOTE&proxyId=&u=http%3A%2F%2Fdx.doi.org%2F10.1086%2F289885>
J. B. Kennedy <https://philpapers.org/s/J.%20B.%20Kennedy>
/Philosophy of Science
<https://philpapers.org/asearch.pl?pub=827>/ 62 (4):543-560 (1995)
Abstract
I analyze a number of the quantum no-signalling proofs (Ghirardi
et al. 1980, Bussey 1982, Jordan 1983, Shimony 1985, Redhead
1987, Eberhard and Ross 1989, Sherer and Busch 1993). These
purport to show that the EPR correlations cannot be exploited for
transmitting signals, i.e., are not causal. First, I show that
these proofs can be mathematically unified; they are disguised
versions of a single theorem. Second, I argue that these proofs
are circular.*The essential theorem relies upon the tensor
product representation for combined systems, which has no
physical basis in the von Neumann axioms.* Historically, the
construction of this representation scheme by von Neumann and
Weyl built no-signalling assumptions into the quantum theory.
Signalling between the wings of the EPR-Bell experiments is
unlikely but is not ruled out empirically by the class of proofs
considered
Wow! Thank you. It costs $10 to get a copy for a non-member, but
very likely well worth it IMO. AG
I wouldn't pay $0.01 for a paper written by a guy who says
something is not ruled out /*empirically*/ by some /*mathematical
proofs*/, and says something has no /*physical*/ basis in
*/axioms/*. He seems very confused about the difference between
mathematics and empiricism.
Brent
I'll pay the money and see what he has to say. He's saying the tensor
product states do not follow from the axioms of QM. Seems pretty clear
even if wrong. But you can save me the fee if you can clearly state
how the tensor product states follow from First Principles, that is,
from the postulates of QM. AG
Physics isn't mathematics. It's not required to derive everything from
a few axioms. The mathematics is invented to describe the physics, no
the other way around. If you want to understand the use of the tensor
product in quantum mechanics read this:
https://ocw.mit.edu/courses/physics/8-05-quantum-physics-ii-fall-2013/lecture-notes/MIT8_05F13_Chap_08.pdf
Equation 1.20 answers your question about singlets.
Brent
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