Tuesday, March 01, 2005

Great Blunders of the Great Bohr-Einstein Debate


Bohr's detailed recount of the debate can be read here:










Blogger Zelah said...

Hi quantoken.

Your analysis of this experiment is

However, this is actually know to cognoscente. I will later post an analysis of this experiment exploring this case in more detail.

By the way, I have looked into quantum entropy, and cannot find any consistent definitions!!! Now, you say that the quantum information is conserved in the universe due to unitary action! I have investigated this idea of yours and found out this very disturbing fact.

The UNITARY action of quantum mechanics can only be proved for BOUND states. What this means is that operators like exp(-iHrep) are not to be used!

(In Elementary Quantum Mechanics - Ele QM, this is quietly pushed to the side... This is possible as the basic example in Ele QM is the Hydrogen atom which has the bounded operator exp(-iH^2rep) !!!)

Yet again I ask you to explain what is the entropy of matter and how do I calulate it? Remember that quantum entropy is conserved so exp(-iHrep) and the like is forbibben!

An Amateur Mathematician

11:45 AM

Blogger Quantoken said...


You have raised very good and legitimate points. I am glad you are thinking about the same things.

My theory is still not complete. I have some very reasonable and legitimate ideas. But the mathematics is still lacking. So no I do not know how to calculate entropy of regular matters.

What I can say is you can not calculate entropy of matter as isolated objects. You have to calculate it as a none-separatable part of the universe. i.e., the matter exists within a specific region of space for a specific amount of time.

As I discussed previously the total mass-energy of the universe is N^2, but the total entropy is N^3. The two are not linearly proportional to each other. Therefore, consider an electron in our universe, or an electron in a different and smaller universe. Their entropies would be different even though they are the same electron!

My speculation is the entropy of a spacetime region is simply proportional to the surface (which is 3-D) that encloses the 4-D spacetime region. Note that's contrary to Hawking's 2-D surface of the 3-D space (space only, no time). Note my definition is Lorentzian invariant, and Hawking's is NOT Lorentzian invariant.

As for bound state. Since the universe is limited and enclosed. All states can be considered bounded. You can not extend exp(-iHrep) to infinity!!! If you can, then the universe is infinite, and then quantum entropy conservation of the universe no longer holds. So you see there is no inconsistency.

A limited universe has to be closed, and therefore there has to be spacetime curvature. And that naturally leads to gravity, which we know is just another way of saying spacetime curvature. Limitness and conservation of quantum entropy then leads to QM and uncertainty principles. That makes it so attractive that GUITAR leads to both GR and QM naturally.

What is especially encouraging is the fact that
G = 1/2N.
N = PI* exp(2/(3*alpha)).

So the same alpha leads to both the scale of gravity and the scale of the universe. Or in another word: both alpha and gravity arises from the size of the observable universe.

Please ignore the psycho who repeatedly posted the same vulgar harrasments again and again. He is obviously very sick.


1:56 PM

Blogger Cartoon Nazi said...

You know this is all fine and good, the uncertainty principle is indeed intact but, I can’t help but feel that Einstein’s “Hidden Variables” argument has, over time, been proven true. What else could you call the extra dimensions of string theory? I, for one, believe that in the end, Bohr will be proven wrong and Einstein right. If “Many Worlds”, “Many Histories” and Branes are not “Hidden Variables” then I don’t know what is.

4:25 AM


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