Inflation & De Broglie-Bohm Fluctuations / What is De Broglie-Bohm Theory? (contd.)
Recorded at 11th UK Foundations of Physics Conference, Oxford - Memorial Session for Jim Cushing (2002), featuring Anthony Valentini, Peter Holland, Chris Philippidis. From the Michael Wright Collection, held by the Archive Trust for Research in Mathematical Sciences & Philosophy.
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0:00 These are the main terms of the lecture. We now switch on the vector potential theory, meaning that we now ignore that power, even more than Hawking, and that we can run with it. The vector potential theory, I'm sorry, what was the word? The vector potential theory was associated with each, and we were to meet each set of the vectors in a kind of... So there is a sense of rotation now, which creates this kind of configuration of projectors. So these projectors are the modifiers for these positions. Well, we're nearly there now, because it's taking up now the final step to get the two-foot projectors. What is our mission to mention the shock factor in this to those who have been involved and to avoid those approaches. The shock factor is a problem of projection. Well, for a topic of trajectories, I'm sorry, I'm running out of time, so I'm going to look at it.
2:30 Well, a record here, in the, in the, well, these trajectories do not come from the sense that we have somehow introduced a similarity in the phase or anything like that. Everything is as usual. The process here occurs at different times. Remember, these are related times and parameters. So, in fact, if you were to think of a particle learning on here, a particle that cannot fit that point there would be what you serve it with now. So there is no point in solving that in you, but you can do that in yourself if you want to do it. So, this picture here appears to be something, although it looks like, in fact, that they're not, that they're not, that they're not mathematical things. It seems to be something. In the beginning, we have to plot the plane, of course, of course, in the perspective that we tend, tend towards the devoid robot, which is actually, remember, we don't try to spin half-wise. This here should be produced, the same, the same bottom needs to be adopted. Although again, at the end of life, these projectors were not in any sense ultra-multi-fair, multi-fairly deductible. That's the conclusion I've already come up with. So, one of the concretions that can be drawn from the earlier set of projectors that we wrote now, that the original topic of the central axis no longer exists. But we do have to find that you do appear in the lower half of this layer. The chemical ensembles that we see here, I think, are about six grains, so that's 30 of the grains, and one of the new grains was waiting to get developed more time to exist again.
5:00 So these are kind of wave-like, so it's a good connection there. But let me just conclude by saying that the particular conclusion of the type of formula that Peter introduced, and effective by inverting the Dirac theory, enlarges what I had called the expressive repertoire of this very long theory. By putting the amplitude and the phase of the wave function on the neutral footing, suggests in parallel that we get the dynamics that actually matter. The students are getting to know what you teach us, so can you tell us the right list of phrases and the right list of values for the right to use in the lecture? I have a question about the projected crossing in the case of the double-split diagram. Is it a totally symmetrical situation? Surely you're going to have to do some extra projectors leading the way, but any of you would have thought that the time parameters would be longer than two steps, which would all be the same. Oh, they're not. Actually, we've been trying to find them out for a while. It's a great idea to do that in the semester. How do they do it then? For instance, I don't know what they're making, what the math is like. It's crazy, because if you look at the projectors here and there, they're not going to test them. The same chemistry is an artifact of having to assume a limited number, a finite number of initial projections. So for instance, because the number of projections, as I said, are weighted by the density, right? Sometimes... In Atiyah, sometimes you have an odd number of points on your elliptic circle. Sometimes there's an even number of points. If you have an odd number of points, that means that the metrics are not actually logical, because they're distributed.
7:30 That's an artifact, because, of course, in the limit of a given density, that won't happen. Right? So this is a very big feature here. It's an artifact of the sampling at a given level of distribution, the sampling problem. Now, as far as the process of this one goes, I think it is addressed by this description here, what you see happening, remember that when we switch on the vector potential, what will happen is that the top split projections are going backwards and the bottom is going forwards, so in fact there is a kind of schematic... When you give them all a forward direction, that's where their thinking comes from. If you have to give a boost that way, you need to slow down and speed it up. When they come into set, one set of projections are actually further. The representative point is that the projections are further behind than they're supposed to be.
10:00 And I think one of the defenses of this lecture is that it's a very difficult and I apologize for the length of time, but I'm going to talk about whether we should just delay this last minute. We've got a little bit of time.
12:30 In this notation, I have resolved the transform from variable x to variable p concerning the function x, which is required of a formative second derivative, so it's called x. And this has higher dimensional analogues, where the convexity is replaced by the non-vanishing of a Hessian, a matrix of a second partial derivative. In the Hamiltonian way, we could transform the way the Q dot and replace it by the P, the DL by the Q, and the QI, the configuration of the QI and time carry along throughout, and as everyone here will know, we get the Hamilton's equation, which are, however, also attainable and in a way this is more fundamental to the Hamiltonian way of thinking. These are also attainable by a sort of modified Hamilton principle, where the Q's and P's are varied independently in a principle that requires the stationarity of this instrument.
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