Sunday, June 4, 2023

A fundamental physics discussion I moderated btwn Prof. Jean Bricmont and David Chester, Ph.D.

 

Hi David: Thanks for your reply.  Still Basil J. Hiley's paper on Bell's Inequality focuses on nonlocality, rather than entanglement. https://arxiv.org/pdf/1412.0594.pdf
"Schr ̈odinger’s equation is non-relativistic, so could it be that this non-
local effect is an artifact of a non-relativistic theory? The problem with
that claim is that we know entanglement is a necessary and indispensable
feature of the standard quantum formalism. For example, we know that in
helium, the ground state wave function of the two electrons is an entangled
state and this is necessary to produce the correct energy levels. Any relativistic corrections will merely produce small modifications
....
Essentially the necessity of using the Clifford algebra for the Pauli and Dirac equations arises because the wave function does not capture the full implications of the non-commutative
structure which only become significant in these algebras. To bring out these
features we must go to the algebra. In such algebras one must distinguish
between left and right operations. This means that when we come to con-
sider time development we need two equations, a left translation and a right
translation-the equation and its dual. In the case of the Schr ̈odinger equa-
tion, the dual is simply the complex conjugate equation, which is dismissed
since it seems to add nothing new. This cannot be done for the Pauli or
Dirac equations where the full non-commutative structure is necessary."

thanks,
drew

David Chester

"Right but my point was that quantum entanglement can be studied in QFT. Of course we don't have wormhole technology yet."
9:18 AM (11 minutes ago)


to me

 The problem is that, AFAIK, what he is talking about has no experimental verification, like wormholes. What is really successful are the predictions of scattering data.

Jean 

 From: David Chester Date: Wed, May 31, 2023 at 12:56 PM
Subject: Re: Virtual particles are not just mathematical fiction

Also, QFT is not defined by what is explained in textbooks. All QFT books are much different, implying we don't understand QFT. Most of our knowledge about QFT is not contained in textbooks, but rather modern research papers. Many calculus textbooks are similar because we've found the easier ways to teach it, which isn't true for QFT.

On Wed, May 31, 2023 at 10:54 AM David Chester
Absolutely false, QFT is different from scattering amplitudes. Scattering amplitudes are defined to only care about data between infinity, but one could look at position-space path integrals. There's also the worldline formalism. My thesis used field theoretic methods to compute gravitational radiation from Feynman diagrams.

Isn't there all of this ER = EPR hype with entanglement in relation to wormholes and all of these physicists at Princeton talking about the notion of wormholes in path integrals, which includes a lot of details related to entanglement in a QFT context?

"In fact QFT predicts accurately the results of scattering experiments but ignores what happens between t=-infinity and t=+infinity and never discusses AFAIK EPR type situations." 

From: Jean Bricmont
Subject: Re: Virtual particles are not just mathematical fiction

Hi,

I don’t know much about virtual photons, but it is true that books on QFT or relativistic QM never mention the collapse, which is presented as an axiom in ordinary QM books, because that collapse is nonlocal and thus not easy to treat relativistically. In fact QFT predicts accurately the results of scattering experiments but ignores what happens between t=-infinity and t=+infinity and never discusses AFAIK EPR type situations. 

Best regards,

Jean

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