Let me ask this insipid question, then. How does order arise out of chaos 
(which is another word for random)? My suspicion is that some program must 
constrain, or initiate chaos into order. Also, is randomness a perpetual thing? 
Brownian motion eventually gives forth a colloid suspension. Just pondering. 
 

 

 

-----Original Message-----
From: John Clark <[email protected]>
To: everything-list <[email protected]>
Sent: Sat, Jun 27, 2015 6:05 pm
Subject: Re: A riddle for John Clark


 
  
   
  
  
   
   
On Sat, Jun 27, 2015  spudboy100 via Everything List     
<[email protected]> wrote:   
   
    
    
            
                ​> ​        Don't you suspect that the conclusion that 
phenomena can have an effect, sans cause, is largely because our ability to 
measure phenomena, is limited by our equipment, that isn't sophisticated or 
refined sufficiently to detect the true cause?      
    
    
     
    
    
     ​If that were true and quantum randomness was caused by our inability to 
obtain some crucial bit of information then Bell's inequality could not be be 
violated, but we know from experiment that it is. I wrote a little essay about 
that a few years ago, I'll repeat it here: ​          
    
     
    
When a photon of undetermined polarization hits a polarizing filter there is a 
50% chance it will make it through. For many years physicists who disliked the 
idea that God played dice with the universe figured there must be a hidden 
variable inside the photon that told it what to do. By "hidden variable" they 
meant something different about that particular photon that we just don't know 
about. They meant something equivalent to a lookup table inside the photon that 
for one reason or another we are unable to access but the photon can when it 
wants to know if it should go through a filter or be stopped by one. We now 
understand that is impossible. In 1964 (but not published until 1967) John Bell 
showed that correlations that work by hidden variables must be less than or 
equal to a certain value, this is called Bell's    ​     inequality. In 
experiment it was found that some correlations are actually greater than that 
value. Quantum Mechanics can explain this, classical physics or even classical 
logic can not.    
    
Even if Quantum Mechanics is someday proven to be untrue Bell's argument is 
still valid, in fact his original paper had no Quantum Mechanics in it; his 
point was that any successful theory about the world must explain why his 
inequality is violated. I will attempt to show how to find the inequality, show 
why it is perfectly logical, and demonstrate that nature refuses to be sensible 
and just doesn't work the way you'd think it should.                
    
I have a black box, it has a red light and a blue light on it, it also has a 
rotary switch with 6 connections at the 12,2,4,6,8 and 10 o'clock positions. 
The red and blue light    ​     blink in a manner that passes all known tests 
for being completely random, this is true regardless of what position the 
rotary switch is in. Such a box could be made and still be completely 
deterministic by just pre-computing 6 different random sequences and recording 
them as a lookup table in the box. Now the box would know which light to flash. 
   
    
I have another black box. When both boxes have the same setting on their rotary 
switch they both produce the same random sequence of light flashes. This would 
also be easy to reproduce in a classical physics world, just record the same 6 
random sequences in both boxes.     
    
The set of boxes has another property, if the switches are set to opposite 
positions, 12 and 6 o'clock for example, there is a total negative correlation, 
when one flashes    ​     red the other box flashes blue and when one box 
flashes blue the other flashes red. This just makes it all the easier to make 
the boxes because now you only need to pre-calculate 3 random sequences, then 
just change every 1 to 0 and every 0 to 1 to get the other 3 sequences and 
record all 6 in both boxes.    
    
The boxes have one more feature that makes things very interesting, if the 
rotary switch on a box is one notch different from the setting on the other box 
then the sequence of light flashes will on average be different 1 time in 4. 
How on Earth could I make the boxes behave like that? Well, I could change on 
average one entry in 4 in the 12 o'clock lookup table (hidden variable) 
sequence and make that the 2 o'clock table. Then change 1 in 4 of the 2 o'clock 
and make that the 4 o'clock, and change 1 in 4 of the 4 o'clock and make that 
the 6 o'clock. So now the light flashes on the box set at 2 o'clock is 
different from the box set at 12 o'clock on average by 1 flash in 4. The box 
set at 4 o'clock differs from the one set at 12 by 2 flashes in 4, and the one 
set at 6 differs from the one set at 12 by 3 flashes in 4.    
    
But I said before that boxes at opposite settings should have a 100% 
anti-correlation, the flashes on the box set at 12 o'clock should differ from 
the box set at 6 o'clock by 4 flashes in 4 NOT 3 flashes in 4. Thus if the 
boxes work by hidden variables then when one is set to 12 o'clock and the other 
to 2 there MUST be a 2/3 correlation, at 4 a 1/3 correlation, and of course at 
6 no correlation at all.     
A correlation greater than 2/3, such as 3/4, for adjacent settings produces 
paradoxes, at least it would if you expected everything to work mechanistically 
because of some hidden variable involved.     
    
Does this mean it's impossible to make two boxes that have those 
specifications? Nope, but it does mean hidden variables can not be involved and 
that means something very weird is going on. Actually it would be quite easy to 
make a couple of boxes that behave like that, it's just not easy to understand 
how that could be.     
    
Photons behave in just this spooky manner, so to make the boxes all you need it 
4 things:    
    
1) A glorified light bulb, something that will make two photons of unspecified 
but identical polarization moving in opposite directions so you can send one to 
each box. An excited calcium atom would do the trick, or you could turn a green 
photon into two identical lower energy red photons with a crystal of potassium 
dihydrogen phosphate.    
    
2) A light detector sensitive enough to observe just one photon. Incidentally 
the human eye is not quite good enough to do that but frogs can, for frogs when 
lightgets very weak it must stop getting dimmer and appear to flash.     
    
3) A polarizing filter, we've had these for a century or more.    
    
4) Some gears and pulleys so that each time the rotary switch is advanced one 
position the filter is rotated by 30 degrees. This is because it's been known 
for many years that the amount of light polarized at 0 degrees that will make 
it through a polarizing filter set at X degrees is [COS (x)]^2; and if x = 30 
DEGREES then the value is .75, if light is made of photons that translates to 
the probability any individual photon will make it through the filter is 75%.   
 
    
The bottom line of all this is that there can not be something special about a 
specific photon, some internal difference, some hidden variable that determines 
if it makes it through a filter or not. Thus the universe is either     ​not 
realistic (nothing exists till it is observed) ​    non-deterministic    ​ 
(events without causes)​     or non-local    ​ ​(     everything influences 
everything else and does so without regard for time or space    ​)​    . One 
thing is certain, whatever the truth is it's weird.    
    
  John K Clark    
   
  
 
  
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