https://www.youtube.com/watch?v=iTVN6tFknCg
Penrose says the switch from the "density matrix" back to the Schroedinger wave function is a "double ontology cheat." very fascinating!!!!
There's famous theorem due to Landau and von Neumann which tells you if you take the environment into consideration then this you follow a certain procedure and you get this sequence of probabilities. If you look at it carefully, you see it actually involves what I call a double well a double cheat or I say cheat which is an ontology switch. That is you have a certain view about how the theory relates to the real world and then youchange your view to something different. Technically, it's you change from the wave function to what's called a densitymatrix and then you change it back again to probability mixture of different wavefunctions. And that's where you're cheating. You do a double cheat. It's a very good cheat. I would say it's thesort of thing which gives you the right answer. And it's a really very impressive thing to do. I'm not saying that what Landon von Neumann did was was rubbish. Absolutely not. It was veryclever. But it does involve this double ontology shift to cheats if you likethat to do a big good physicist you know how to cheat properly. I think that's that's part of the idea and uh okay that's fine part of the game but it's more important to see what's going on what's really going on there. Now I took the view because of this part first part of my talk that what's going on has tobe something which is not computable. Now that's was not a normalview about these things. People often would say about me well I waffle aboutconsciousness
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something very unusual in relation to temporal ordering....
https://www.youtube.com/watch?v=d887sgrZEZc
More details here....
the density matrix is describing ontology (as the FIRST ontology shift)..."those diagonal terms [of the density matrix] represent probabilities" then shift it back to probabilities as the 2nd ontology shift to "reduce the states" without saying so......
your wave function has a phase factor that is different... that shouldn't count because you are just squaring the phase factor anyway...to get the probability... but in quantum field theory you have to worry about the phase factor because you have a different vacuum (of spacetime).... So if you assume an accumulating error between two different spacetime phases that are in superposition then this creates an uncertainty over a certain amount of time... The uncertainty is INVERSELY proportional to its lifetime.... So the uncertainty is how much energy it would require to pull the two particles apart...out of superposition....as only the gravitational force.... the reciprocal of that energy is the lifetime of the superposition....
Penrose is emphasizing that when you take the measurement with an apparatus you suddenly no longer "follow the rules" of the Schroedinger equation.
"you make a measurement on it....you wheel in an apparatus....this, this or this is the answer....It [that apparatus] doesn't tell you the evolution of the Schroedinger equation! But why doesn't it? Why doesn't the whole system follow the Schroedinger equation! You change the rules! You collapse the wavefunction and you NOW say it's an "eigenstate" that follows an "operator" and all that stuff - it's a different story altogether. It's not the Schroedinger equation. It's the other part of quantum mechanics, it's the measurement part. It's in conflict with direct evolution, because evolution of the Schroedinger equation would say all these different alternatives would happen at once.
So that is a way to confront the contradiction of the principle of equivalence in gravity and the principle of superposition in quantum physics.... Penrose giving a talk recently
There's an exponential that involves the cube of time.... or t-cubed.... [for the phase of the quantum field vacuum difference and then there's a complex number for the quantum superposition]
he's talking about before the collapse of the wavefunction - so there is quantum nonlocal superposition of two particles before they are measured. He's saying based the mass of the particles superposed then there is a frequency as momentum that is the gravitational potential energy that separates the particles - this energy is inverse to how long the particles can be maintained in quantum superposition.
Penrose says you have to be careful about the phase factor as a quantum superposition of masses because the time cubed has negative and positive frequency. That's where the noncommutativity sneaks in that Penrose doesn't want to deal with....
yes he says the inverse or RECIPROCAL [Double quotient] is the "lifetime" - so it's h-bar over the gravitational self-energy.... so the smaller the particle (the smaller the momentum as classical momentum but higher in quantum frequency and hence the larger the inverse time as wavelength for the "lifetime" in superposition)....
The difference between the two states is given by the uncertainty "error" as Eg.
the collapse into two separate particles took place when the single superposition point was already super-positioned and thus "referred back" or retrocausal to the origin point...
so spacetime itself is in a quantum superposition....and so "all the time" it was the one particle that ends up as the classical reality....
the quantum reality says you have left and right at the same time.... You have to have a retrocausal return to the quantum origin to see how the classical reality evolves. The classical reality is "more robust."...
if you are correct in the quantum realm that it is 100% but if you are wrong then you get a probabilities of what it could have been otherwise...whereas the classical realm is always certain, yes or no....
Since it's only quantum reality - as long as there's no quantum displacements of mass, if there is too much mass moved around then it will collapse.... -
Once you get past the past light cone of Alice then Bob's quantum result will be the opposite of Alice - but that can be BEFORE Alice's measurement in some frame of reference!! It can't be before her past light cone....
Alice's measurement seems to go BACK along her light cone to intersect with Bob's measurement....
Basil J. Hiley is emphasizing that the "quantum potential is central to quantum field theory."
So Hiley is demonstrating that DeWitt was using the quantum potential in general relativity in 1952!!! So the nonlocal time phase is as "two points" BEFORE spacetime exists.
"a scalar curvature of what" - before spacetime!! The quantum potential is related to scalar curvature at zero rest mass....
constant "surfaces of action" in the classical Hamilton-Jacobi get changed into constant "surfaces of phase" and this defines the dynamics as both the phase and amplitude as the "unfolding process" as Dirac called it!
By converting the Hamilton-Jacobi to polar decomposition then you get the Bohmian quantum potential....and one is left and one is right and you have TWO algebras - (noncommutative)....
so instead of looking at a particle it's a noncommutative field....
The quantum potential gets "hidden [zeroed out] under the statistical averages" once you integrate the equations....
Clifford algebra "linearizes the quadratic forms" as quantum noncommutative algebra.. used for Dirac and Pauli...so you also add Roger Penrose's twistors.
You do not need the wave function at all! Just using left ideals...as quaternions....
"Remember we [Basil and Roger Penrose] had a bit of a tussle over the quaternion...we had a bit of a scrap over the quaternions..."
Dirac's standard kets are the idempotents for the left ideals....
the dynamics defined by this noncommutative structure....a Jordan product ...gives us the [quantum potential] energy that we don't talk about....
the Metaphysical ideas....
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