Showing posts with label superselection rules. Show all posts
Showing posts with label superselection rules. Show all posts

Sunday, June 4, 2023

Schrödinger’s Cat

 Erwin Schrödinger, one of the founders of quantum theory, introduced his thought experiment that involves the poor animal in his 1935 paper “The present situation in quantum mechanics”1. According to the orthodox interpretation of quantum mechanics, a cat locked in a chamber with a radioactive material that can trigger a killing poison would be in “neither alive nor dead state” until someone “looks” inside, in order to check. This “neither alive nor dead state” is, according to the orthodox quantum theory, a “superposition” of “cat alive” and “cat dead” states. 

Then Schrödinger focuses on “knowledge”, on “what do I know”, instead of focusing on what “objectively happens”. That is why he got himself into a “paradox”, and his paradox has been examined again and again in hundreds if not thousands of papers and books by physicists and by philosophers ever since. A typical conclusion is that reached by John Gribbin in his book “In Search of Schrödinger’s Cat”2: “there is no underlying reality to the world.”


The Reality of Superselection

Again we seem to be dealing with a typical example of compartmentalized thinking that is so typical for authoritarians. John Gribbin is an astrophysicist and certainly he has studied the subject before writing about it. So, Gribbin must have known the term “superselection rules”, introduced by Wick, Wightman and Wigner in their 1952, and 1970 papers34.

In 1974 Strocchi and Wightman gave a rigorous proof of “charge superselection rules”, which means that two states of any system that carries different electric charges are “classically different”, that is, performing “quantum superpositions” of such states is meaningless. It would be rather strange if “cat alive” and cat “dead” had exactly the same electric charge, up to one electron! But John Gribbin evidently did not think about that. His thinking was probably compartmentalized and certain facts - those that would contradict some of the authorities he followed - have been put into a non-active part of his mind, if not ignored entirely.

1Reprinted in W. Zurek et al, Quantum Theory and Measurement”, Princeton University Press, 1983

2John Gribbin, “In Search of Schrodinger’s Cat”, Bantam Books, 1984

3Wick, G. C., Wightman, A. S., & Wigner, E. P. (1952). The intrinsic parity of elementary particles. Physical Review, 88, 101-105.

4Wick, G. C., Wightman, A. S., & Wigner, E. P. (1970). Superselection rule for charge. Physical Review D, 1, 3267-3269

P.S.1.My wife likes this... so this is for her. Very REAL.

Mike Farris: Mercy Now

My father; could use a little mercy now
The fruits of his labor; fall and rot here on the ground
His work is almost over; pretty soon he won't be around
I love my father; he could use a little mercy now

My brother; could use a little mercy now
He's a stranger to freedom; shackled to his fears and doubts
The pain that he lives in; it's almost more than living will allow
And I love my brother; he could use a little mercy now
Oh, yes he can

Every living thing; could use a little mercy now

Only the hand of grace; can end the race towards the mushroom cloud
The people in power; they'll do anything to keep their crown
I love life and life itself; could use a little mercy now

Everything; could use a little mercy now
I know we don't deserve it; but we need it anyhow
We hang in the balance; dangle 'tween hell and hallowed ground
Every single one of us; could use a little mercy now
Every single one of us; could use a little mercy now
Every single one of us; could use a little mercy now

Another version of the same song.

P.S.2. 05-06-23 7:29 Reading Greub et al. Vol. I, p. 139
Show that the following submanifold of R^3 is nonorientable:

ParametricPlot3D[{Cos[v] + u Sin[v/2], Sin[v] - u Cos[v/2], 
  u}, {u, -1/2, 1/2}, {v, -4 Pi, 4 Pi}, PlotPoints -> 100]

P.S.3. First seven pages of my "Notes on Aether Theory"

Biolocation

  On Tuesday, December 23, Vlad Zhigalov (see e.g. here ) had a talk at the " Temporology " seminar hosted at Omsk.  He spoke abo...