Notes
Sunday 22 October 2023 - Saturday 28 October 2023
[page 325]
Sunday 22 October 2023
Another thing I think I should have noticed years ago. I have been wondering how time turns into space, ie how changing phase turns into a measure of distance and all along I have known that the quantum mechanical implementation of momentum is in fact a matter of phase, so the natural approach to space is through momentum whose classical dimension ins MLT-1 which is related to wavelength p = -i h ∂/∂x = h/λ
Time / energy is a frequency, Space / momentum also is the
[page 326]
complex conjugate of time, ie time ≡ i, space ≡ x.
Monday 23 October 2023
Quantum phase (in Hilbert space) and the relationship between energy and frequency (in Minkowski space) are two different things, as is demonstrated by the absurdity of Everett's many worlds hypothesis which uses the notion of creating new universes all over the place in a Hilbert space way without making any concession to the principle of conservation of energy which would be infinitely broken by every quantum of action in every one of the new universes that he creates, so the dfemand for energy would increase as ∞∞∞ . . . .
As long as there is tension between large groups there will always be a fringe in each that would be inclined to violence. Israel repressing the Palestinians will never get rid of the violence toward its repression, Hamas or equivalent will reappear as long as [the repression] is not eliminated.
Tuesday 24 October 2023
So far we have got the initial singularity to create one photon which we might imagine to be orbiting inside the singularity constrained by the gravitational field there but we want to decide if this is possible in one dimension of
[page 327]
Minkowski space. So let us create a mob of photons which might start transforming into gluons, quarks and other elementary particles which begin to populate the Universe and cause the Minkowski space to become 4D and create a little universe of the sort that we expect from the big bang.
Now all of these particles interact with eachother through Hilbert space carried inside each one which can be brought into contact by bosons travelling on null geodesics, very short in the case of W and Z, longer for photons. The bosons, quarks and gluons automatically coalesce to form hadrons.
The key to all this is that every elementary particle has a Hilbert space and quantum states associated with it which it can share with other particles by duplication and communication through bosons because they are kinematic in Hilbert space, maybe off the mass shell, that is virtual as the standard story goes, or in fact the mass shell has nothing to do with them because their associated Hilbert spaces are outside the Minkowski space where the on shell version of the particle exists and is subject to Lorentz transformations.
All this business is drawing energy from the gravitational potential making that potential well deeper. This must be the story with hadrons which are somewhat analogous to black holes in that their potential wells are so deep that their bosons and fermions cannot get out.
[page 328]
Wednesday 25 October 2023
We have devised a quantum mechanical tale of mind and matter which has grafted modern theology and physics onto ancient physics and theology and provided something of a back story to the Big Bang theory. So far we have extracted one photon from our quantum mechanical singularity and come to the interface between mind and spacetime which is in effect a version of the old quantum mechanical problem of measurement which has been the subject of furious debate running from the calm reasoning of Zurek to the quasi madness of Everett III. Now we are ready to expand this little scenario to match the size and complexity of the Universe we see. our first step in this direction was taken with a picture of the Internet and real physical networks using the dynamics of computers to imitate the kinematics of mind. Now we turn to look at this picture, using the kinematics of mind described with Hilbert space and virtual particles to expand from one photon to the whole world, beginning with the creation of Minkowski spacetime and gravitation. The dream goes on, although this morning I thought I was waking from a nightmare. Now I am for a moment happy again because my work of fiction gains substance by tracking the real data of history. Wojciech Hubert Zurek (2008): Quantum origin of quantum jumps: breaking of unitary symmetry induced by information transfer and the transition from quantum to classical, Hugh Everett III (1973): The Many Worlds Interpretation of Quantum Mechanics
[page 329]
Question: Although the electron has no size it can still contain and operate Hilbert space as a kinetic entity inside the dynamic electron just as Hilbert space and quantum mechanics operate inside the initial singularity. This is just like the containment of thought in my brain which represent a large volume of information in a relatively large space, although the information density is effectively zero in terms of eg a hadron. This little paragraph is an insight worth a day's work answering the fundamental question I was trying to formulate in cc22_trans_hilbert. Write it into the page after lunch and a snooze.
Andrew Lok Hang Chan: The imperialists have wiped out thousands of lanuages and cultures. Andrew Lok Hang Chan: Opinion: Hong Kong authorities don’t want you to read this story. Here’s why.
Still not happy with cc22_trans_hilbert. Latest plan is to start from cc19_network in Minkowski space and attach Hilbert space to each functioning system in the network and subnetworks, ie network of networks working down to the elementary particles and up to planets and galaxies. How does this work? Each elementary particle is a dynamic entity driving an internal Hilbert space and the shared Hilbert spaces of the interacting particles work like Zurek measurement systems which can be deployed to explain bonding.
Thursday 26 October 2023
Friday 27 October 2023
[page 330]
cc22_from gravitation to quantum electrodynamics. Astronomers are creatures of the night. In daytime the intense light of the Sun blinds us to the immense world that surrounds us.
Final link cc22_network_QED, a bit of humility. Follow Feynman but adapt to my story somewhat and claim that uniting physics and theology does help to explain why the world works as it does, emphasizing that QED is the physics of conversation between particles / sources controlled by quantum mechanics in Hilbert space underlying Minkowski space. Can I make this work while sticking to the facts. So work through Feynman's QED. Richard Feynman (1988): QED: The Strange Story of Light and Matter
Feynman page 6: Dirac electron magnetic moment adjusted from 1 to 1.00118 in 1948.
page 9: 'Will you understand what I am going to tell you? . . . No, you are not going to be able to understand it . . . It is my task to convince you not to turn away because you don't understand it. . . . That is because I don't understand it. Nobody does.' Very theological!
page 10: ' The theory of quantum electrodynamics describes nature as absurd from the point of view of common sense. And it agrees fully with experiment. So I hope you can accept nature as she is—absurd.
[page 331]
Feynman page 12: 'So again, we are not going to deal with why Nature behaves in the particular way She does: there are no good theories to explain that [except the variation introduced by Hilbert space?]'
Now I am on a new tack and have to see it through. Yesterday, after Auntie, I went to the hospital for the eye injection, had a haircut, collected my mail and went to the Reading and Writing Dangerously do at the Hawke centre UNISA where guests were Peter Greste, Geraldine Brookes, Kylie Moore-Gilbert and Behroug Bouchani talking about their experiences as journalists, academics and political prisoners, the role of writing in maintaining their stability and making their experiences while I wondered about my own very private work. Does anybody read my stuff? According to my web stats natural theology despatched a bit over a GB or material in the last 12 months. This is supposed to exclude crawlers etc, but what proportion is actually read? Maybe 10 000 visitors per year, so a bit might be seeping out, with no promotion. I now have a database of a few megabytes of text available for exploitation, but do not feel ready yet.
A photon has its energy in one box, ie frequency. Its phase in another box, its polarization Propagation requires a 2D space (Hilbert?)
I suppose I feel that I have got to save my soul by doing something significant, but that is not available on demand. I am
[page 332]
coming to the crunch with cognitive cosmology. I have been following some ideas for 21 pages, and now on pages 22, 23, and 24 I have to put these ideas to work to produce a critique of QED, QFT and QCD and I do not have a clear idea about how to do it and I would love to get it done by the end of the month (impossible) or at least by the end of November so that I can write the simple summary in time for a marketing effort next year.
The more I think about my life the dumber I think I have been, but I am still alive, so I can start again by counting my blessings and looking forward to doing better, a perennial Christian trait. No doubt a consequence of reading Le Carré Our Game. David Cornwell (1995): Our Game
Saturday 28 October 2023
Still stuck. My real problem is that I do not understand quantum theory. Feynman emphasizes (QED page 12 above) that we do not understand quantum mechanics, we just have to deal with it, and his book explains how he did that, and I see it as a very theological approach: God is beyond our ken so we just have to deal with them and the result is the hodge podge of self contradictory doctrine that has made the Catholic Church an outstanding success, helped along with judicious applications of military violence. As Geraldine
[page 333]
Brooks commented on Thursday night, there is one word behind the corruption of the press around the world, populism and capitalism. We are all prepared to pay big money for the stories we want to hear and the Murdoch press delivers it, supported by populist politicians like Trump. In the face of this I am trying to claim that a proper understanding of the nature of the world obtained by combining physics and theology is the answer, but physics also contains a lot of mythology, so that although things like the cosmological constant problem are easy to criticize, the real answer is hard to find. My promises induce in me a sort of imposter syndrome because I do not know the answer. My feeling about trying to be a member of the Order of Preachers in my youth was that I would be an imposter if I preached the stuff they were telling me then. So the answer appeared to be in science, and so I made the world divine and was expelled.
My immediate problem with cc22_network_QED is explaining the quantum mechanical foundations of standard classical computation, which comes down to the quantum explanation of transistors which seems to be a bit technical for my purposes. A parallel task is to explain the hopes of quantum computation which also seems a bit mythological to me. My principal understanding is that there is no way to beat the measurement problem except by applying Shannon's theory
[page 334]
of error prevention to quantum mechanics to show how, despite the measurement problem, quantum devices can be made sufficiently deterministic to be useful for computation. The root of my imposture here is that I feel too lazy and incompetent to carry this through. Like an old time theologian following Jesus of Nazareth I am praying for a miracle. I have the pleasant feeling that my story on the cognitive cosmology site has been rather miraculous so far, given my general state of ignorance, but now I have come to a dead end and am looking for a way to worm my way out of it by cooking up a new hypothesis as Planck and Einstein did so well. So what is this hypothesis? As usual I want it by sundown today. Meanwhile I will finish reading my current bit of escapist trash, Le Carré Our Game, an old Public schoolboy thing. The basic idea of isolating the children into authoritarian schools is to corrupt them sufficiently to fit into the current political management paradigm which is basically that we rich and powerful should ride on the backs of the rest. Long live, Popes, Kings and celebrities. I want to be one, but have little hope, hence the need for a miracle. So far my best idea is that despite the uncertainty introduced by the Diophantine quantum, the world can be manipulated to give quite definite answers at a particular scale, so that we can get a lot of information out of a few photons captured in deep space.
[page 335]
The way forward that appeals to me is to go back to the beginning when there was nothing but an omnipotent agent who could try anything that did not involve explicit contradictions. This being is isomorphic to Hilbert's proposal for formal mathematics: any set of axioms and algorithms that does not lead to contradiction qualifies as mathematics even though it may be trivial and boring, like counting sheep by establishing correspondences with bags of beans. As it evolves, the world discovers mathematics. As it evolves, science discovers the mathematics that the Universe has discovered. This is my explanation of Wigner's observation. Eugene Wigner (1960): The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The big question is how does this process lead to quantum mechanics, and specifically to quantum mechanics as described by Feynman's QED?
Le Carré enjoys emphasizing the ambivalence and misery of those who play at the violent end of politics, like his mate Ian Fleming. Their subjects may have reason to hate what they have to do. James Bond seems to revel in it, Le Carré's protagonists suffer, which is why he is seen as a novelist. I am my own protagonist and while I have committed a few sins of the flesh and taken a stand against the Catholic church, my only regret is that I am not gifted enough to realize my dream of rewriting theology, even though I do feel that I have done well so far and generated some preachable material that goes some distance to erasing my imposter feeling.
[page 336]
and some funds but I am comfortable and have a lot of time ahead of me so I live in hope. I suppose it is ultimately very hard not to write or talk about oneself. I am addicted to it because I see myself as a conscious particle trying to understand my place in the Universe like all the other particles that are described by quantum mechanics because we have Hilbert space kinematic interiors inside our physical dynamic shells. Kinematics need not be on the mass shell, but dynamics must. Here we are looking for a way to understand Lagrangians and Feynman diagrams and wee their attachment to momentum and spacetime as the problem identified by Dirac when he set out to apply Hamiltonian methods to quantum mechanics. These remain both orthodox and the source of many problems which seem to be avoided by Feynman's path integrals which are purely kinematic. P. A. M. Dirac (1933): The Lagrangian in Quantum Mechanics
My fundamental theological problem has been that sex was both the best and the worst thing in my life, emphasizing the barrier between reality and Christianity,
Back to Feynman QED page 40: How so we know that light also reflects off the the ends of the mirror? Diffraction grating.
page 41: All arrows have the same length because all paths are equally probable [but between them their probabilities must all add up to 1, since only one is actually followed].