Notes DB 90: Psychogenesis_2024
Sunday 14 April 2024 - Saturday 20 April 2024
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Sunday 14 April 2024
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Chapter 6: Hilbert's Choir? Trinity to transfinity? Computable functions.
Chapter 7: Quantum selection → 4 ideas
Chapter 8: Gravitation, bosons, fermions, Minkowski space.
We want to weave both Turing and Gödel into the foundations, making the initial singularity the creator of mathematics, bound by logical consistency, ie Turing and Gödel, randomness, variation and the quantum mechanical structure.
We have ideas to reconcile: kinematic vs dynamic, variation vs selection, randomness vs control.
Kicked off the morning feeling intelligent for a change snd finished draft of Chapter 5: Eternity and time. Still have to do final section 'kinematic time' about complex time, and then on to chapter 6 currently quantum mechanics but am am tending toward Hilbert's Choir.
Looking forward to theological symbiosis.
Monday 15 April 2024
'What do I feel this morning? Neutralish. Change Hilbert space to Hilbert orchestra. Chapter_06_q-mechanics. And then pessimism bites. Why? Having trouble imagining Hilbert space in naked gravitation, which arises from application of computable
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functions to obtain fixed points. The question is why the fixed points and fixed state functions while nevertheless being kinematic, ie ψ = eiθψ, ie rays. Maybe it does me good to be beset by doubt as I try to discover whether I really believe what I am saying. At all times I can claim that my story is better than the one being told by the Church.
Ritual murder: Bertrand Ludes Bertrand Ludes et al (2024): A ritual murder shaped the Early and Middle Neolithic across Central and Southern Europe
Hopefully by this evening I will be in a mood to continue. The trouble I feel here is with the introduction of fixed point theory on an empty set but this is justified on the basis that a continuum carries no information and yet one can apply Gaussian coordinates, which might be sufficient to apply Brouwer's fixed point theorem.
The mind has gone dull. Needs a bit of sharpening up. Recreation.
Divertimento, Ravel - Bolero. Divertimento (film) - Wikipedia
Tuesday 16 April 2024
Dead: no potential; alive: potential. Eg live wire, live snake. Hilbert space inside the naked gravitation is potential, kinematic. Dead.but like a musical score on a DVD available to be read by a dynamic reader. Still rather stuck on the idea of potential and actual and the distinction between agent and puppet, dynamic and kinetic
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seems good, but then we come up against the term 'kinetic energy', 'vis viva'. Why is this so difficult? Perhaps alive and dead, active and passive [when I am dead my atoms will still be alive].
The way to go is just to develop quantum mechanics as wave mechanics in Hilbert space and go through the eigenvalue problem to gravitation and particles.
Wednesday 17 April 2024
Chapter 6 Quantum Mechanics: The periodicity of the complex numbers means that they are locally continuous but globally quantized. (This idea came after I lay down for 30 seconds, brain works best horizontal. It clears up a very significant problem for me in the relationship between reals and integers.)
Isaac Newton 1642 - 1727; Alessandro Volta 1745 - 1827 invented voltaic pile 1799 - 1800. Michael Faraday 1791 - 1867: electromagnetic induction 1831.
I am looking for the excitement of interpreting quantum mechanics in a logical, psychological and theological way seeking to link my inspiration to the doctrine of the Trinity as expounded by Augustine, Aquinas and Lonergan. My paramount dream is to follow somethinglke Aristotle's progression from physics and the science of
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motion explained by hylomorphism, to notions of potential and actuality to explain the need for an unmoved mover to move the forms from one lot of matter to another to implement his explanation of motion (change) given Plato's immutable forms. What is my analogue of this course?
From Aquinas's point of view the idea of beatitude is the exquisite pleasure derived from the vision of god which in natural theology is both the pleasure and the pain of the knowledge of ourselves and our world. The classical view of the sharp distinction between good and evil, between pleasure and pain is combined in the one universal god by the consequences of creation by evolution, the pleasures and pains of procreation, predation, love and hate.
Multi-electron atoms provide a many body problem which is greatly simplified by quantization and the separation of electronic states into discrete structures that can be expressed and solved in the eigenvalue problem [which works precisely, even though when the results are mapped into spacetime we have a certain amount of uncertainty, the uncertainty principle only holds in spacetime, not in Hilbert space. This is why we can make such precise atomic clocks]. Hilbert space and linear operators makes sense of this and perhaps we can apply linear theory to human interactions by conceiving all events, both electronic and human, as one to one relationships each measured by a message, a vector, a quantum of relationship which will be true and predictive if it is clear and distinct, ie local quantization. De Broglie and harmonics. Louis de Broglie (1929): Nobel Lecture: The Wave Nature of the Electron
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The excitement comes when there is progress. Look at the history of science. Impossible impasses continually arise and are then tunnelled under or climbed over and we are on the way again.
Thursday 18 April 2024
Listed chapter to come after cc07_hilbert at the railway station this morning and must have deleted them before sending and now cannot remember. So cc07_ hilbert space then what? Hilbert space is invisible. cc_08_spirit_matter, referring to Newton' scholium last paragraph but emphasizing the fact that there are invisible elements to the universe so that positivism cannot work. Isaac Newton (1713): The General Scholium to the Principia Mathematica
or cc_08_evolution, Hilbert space is the source of variety.
The breakthrough of the day: We think of space as the mind of God which contains everything including our minds. Below the celestial space of Minkowski and gravitation we find a deeper space of [Hilbert]. So two spaces: celestial = {euclid, descartes, minkowski, einstein} and Hilbert = {quantum mechanics}, [Minkowski closely tied to Hilbert].
Naked gravitation is populated by quantum mechanics and the first step in this population is the creation of Hilbert space, the home of quantum mechanics [by the execution of the fixed point theorem using all the computable functions?]
We might say that the Higgs particle contributes its mass
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and charge to a photon to create Zs and Ws. Now we just have to deal with the antiparticle problem, which could be well within the versatility of a quantum computer, which might be more powerful than a Turing machine.
cc_08_evolution - variation (quantum) and selection (real).
cc_09_entropy, reversibility and computing power
Friday 19 April 2024
Does the application of fixed point theory to naked gravitation fulfil the requirements of von Neumann's axioms for Hilbert space. Can we make it so if not [the axioms are very compact]?
cc_10_ The universe is a commnication source - the measurement problem → the creation of spacetime, an artefact of interaction?
cc_11_matter and spirit.
This afternoon got a bit stuck on trying to make quantum mechanics sound easy. Did alright on the description of function space and the spectral nature of quantum vector but got stuck on linear operators and hopefully will wake up in the morning with something to say about eigenfunctions, the measurement problem and the role of quantum mechanics in evolution, the spectrum of elementary particles and the quantum creation of Minkowski space via gravitational potential.
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Perhaps one way to solve this problem is to see all quantum interactions as measurements and repeat Zurek's solution to the measurement problem while at the same time emphasizing the fact in a large statistical sample of measurements the actual spectral value invoked in the communication will have a statistical distribution which may lead to the same integrated result as the Feynman diagram approach. (see page 14: "Measurement": the interface between Hilbert and Minkowski spaces: §:14.4: Zurek: observations involve interactions in Hilbert space.). This is todays $1000 insight. Think of the trouble it would save if it were true.
Saturday 20 April 2024
My consciousness makes me visible to myself and Augustine's doctrine of the Trinity tells us that God's visibility to themself is another person and we are trying to take the view that the initial singularity's visibiity to itself is another singularity, a particle, and this chain reaction is the way the Universe is created, the big bang we might say. We are trying to elucidate the mechanism of this process which starts with consciousness: mapping oneself onto oneself which via fixed point theory gives us clear and distinct ideas which by our physical activity becomes real, infused with energy. This is the basic cycle of creation which is driven by omnipotence and selected
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by consistency. This is the theological picture of the big bang which it is the task of this book to elaborate in detail and draw lessons from for our behaviour as Aquinas did in the second and third pats of the Summa; so I am writing a little summa, cognitive cosmogenesis. So now that I have got this clear I should go back over what I have written and rewrite it in the form of a website, my favourite form since the book form makes it hard to include the data in a parallel column. On the other hand, the fact that I have written cognitive cosmology exempts me from these details and I can just plough ahead with the story and I should not abandon the Book, just get it right with the odd key footnote referencing my sources. I feel that I have run off the track a bit, hence my impasse, and I have to go back to mirroring cognitive cosmology, mapping chapters to chapters to pages. That said, coffee and Uncle Toby's Cheerios, (a mistaken purchase which I must nevertheless eat over the next few weeks).
I am also feeling that it is important to get my book about an ignorant god out soon as possible in order to control the tide of pseudo theocracy sweeping the world, and so to avoid pedestrian detail in the book and get on with the main game
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highlighting my attack on theocracy in the preface and introduction and thinking of it as 25 000 word essay with 25 thousand word chapters summarizing cognitive cosmology [but I nevertheless want to include the new ideas I have had since cognitive cosmology was "finished"].
A clear attack on infallible authoritarian fools whose only approach to education is murder, Putin, Netanyahu and co. Ie I am dropping out of science into politics, the politics of evolution and the evolution of politics, the peacefulness of wilderness, local control.
Paul Giles on Rushdie. The initial singularity is conscious and its consciousness is what generates the structure of its mind, the world is the mind of god [and gravitation is attracted by gravitation, so recursive and conscious, ie consciousness generates exponential growth]. Paul Giles (2024): In Knife, his memoir of surviving attack, Salman Rushdie confronts a world where liberal principles like free speech are old-fashioned
My original plan was to wrote the book chapter by chapter following the website. My deviation from that idea shows me that the original plan was sound, not only by making for faster progress, but by providing a one for one correspondence [between pages and chapters I] provided evidence for the book, so now that is the new plan!
Cantor's work shows that geometric continuity does not exist [since he digitized it] and is consistent with the Pythagorean theorem insofar as the other two sides are also quantized.