Much appreciated Peter. I hope my eyes do not fail -- I have too many books to read! Diana
From: Peter Montgomery <[log in to unmask]>
Reply-To: "T. S. Eliot Discussion forum." <[log in to unmask]>
To: [log in to unmask]
Subject: Re: Warning//Quantum Mechanics/ /way off topic
Date: Thu, 26 Jul 2007 22:56:44 -0800
Dianne may find some illumination in: Catching the Light by Arthur Zajonc
I've heard it said by the odd (very odd -- but what physicists aren't)
that electrons are a convenient fiction. They don't really exist. Nez perse?
----- Original Message -----
From: Richard Seddon
To: [log in to unmask]
Sent: Thursday, July 26, 2007 7:25 AM
Subject: Warning//Quantum Mechanics/ /way off topic
. I'm interested in two phenomena or facts especially: that at the speed of
light there is no time, and that the response of two particles to each other
at distant locations occurs faster than the speed of light, i.e., in no
time. Light outrunning time appeals to my imagination! Again, thanks. Diana
Your two interests, although seemingly related, are not related. The first
has to do with relativity of which I know nada. The second is one of the
quantum mechanical (of which I know almost nada) paradoxes. In fact it is
the basis of the EPR paradox which gave Einstein the willys. What you are
referring to is "spin". An electron can have + or - (up or down) spin. If
when we determine their spin while they are in the same atomic orbit one
always has one spin and the other has the other spin. The reason is bound
up in the math. But, and it is a big but, as the electrons exist in the
atom they must be neither until we measure them. At the moment I determine
the spin of one the other simultaneously assumes the opposite spin. Note
it is simultaneous. It is not faster than the speed of light, it is
simultaneous. There is no speed; as one is measured to have up spin the
other has down spin. Two things here. Not only does the untouched electron
know what spin it should have but it knows that it should have spin.
Remember the spin of both electrons was undefined until one was measured.
Distance makes no difference. The last thing I saw was two "entangled'
particles (I think they were photons) were separated by about 40 miles when
one was measured. At the moment of measurement of the one the other
revealed it had spin and that its spin was the opposite of its sister.
Again it is not faster than the speed of light, it is simultaneous.
Another implication here which is also hard to swallow is that the electrons
really don't have spin until examined. Then all of a sudden they have it.
They are identical until one is examined. When one is examined it appears
to "choose" which spin to have and the other is simultaneously forced to
have the opposite spin.
Gribbin goes into some depth in a non-mathematical treatment of spin. I
want to emphasize that there are no contradictions in the math.
Concerning your first question. Remember the constant "C" refers to the
speed of light in a vacuum. The speed of light in other mediums is quite
different. Cherenkov radiation
http://en.wikipedia.org/wiki/Cherenkov_radiation is an effect of charged
particles exceeding the speed of light in water. IAW the charged particles
are outrunning the photons in the same water. Now as far as I know both the
charged particles in water and the photons in the same water are still
affected by time. Why would it be different in a vacuum???
There are time paradoxes in quantum mechanics. As I recall Susskind will
introduce you to some of them. Basically they involve the "stuttering" of
particles between negative time and positive time.
I'll give you a question that bothered me for a long time. Look up the
mass of a photon. It is zero!!! Yet a photon has energy!!! And, energy is
another way of measuring mass!!! E=MC^2!!!! So if I do the equation for a
photon of energy such and such I get a mass right, wrong. ?????? BTW there
is an answer it just is not very satisfying.
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