Notes
Sunday 3 September 2023 - Saturday 9 September
[page 223]
Sunday 3 September 2023
Kuhlmann's picture of Quantum Field Theory has appeared to me as a modern description of a 'morass of despond' whose roots, for me. go right back to the ancient (false) belief that God is omniscient because matter is the enemy of knowledge and since God is maximally immaterial god is maximally knowledgeable, that is omniscient. aka "slough of despond". Pilgrim's Progress. The Pilgrim's Progress - Wikipedia, Slough of Despond - Wikipedia
I wrote myself out of my personal morass yesterday morning and I
[page 224]
repeat these words here, written in the context of the dreams of field theory with which Einstein's huge success with gravitation has saddled physics in the form of quantum field theory.
Kuhlmann:
In conclusion one has to recall that one reason why the ontological interpretation of QFT is so difficult is the fact that it is exceptionally unclear which parts of the formalism should be taken to represent anything physical in the first place. And it looks as if that problem will persist for quite some time.
Saturday 2 September 2023
Kuhlmann: 'QFT is the extension of quantum mechanics (QM) dealing with particles, over to fields, ie systems with an infinite number of degrees of freedom.' Meinard Kuhlmann (Stanford Encyclopedia of Philosophy): Quantum Field Theory
"After weeks of tergiversation I seem to have finally arrived at an understanding (within my fanciful model) of gravitation. The quantum initial singularity is a dimensionless entity which I like to call logical on the assumption that overall the universe is a logical entity, a mind. We take the quantum of action to be a real dynamic entity, the cause of the universe. whose initial singularity breaks (by the zero sum differentiation) to give quantum mechanics and gravitation the two primordial features that add up to zero energy. Quantum mechanics runs in Hilbert space which is formally created by the operation of [mathematical] fixed point theory. The Hilbert space is the kinematic source of variation via superposition from which quantum mechanics selects eigenvectors and their corresponding eigenvalues which are converted from kinematic to dynamic entities (ie entities with the energy necessary to move themselves) by deriving positive energy from the negative potential energy of gravitation, thus creating the gravitational potential wells that establish the stability of the Universe. All this sounds like a consistent myth which incorporates what we know of the zero energy initial singularity, quantum mechanics and gravitation and shows how these two complementary factors of the primary differentiation fit together in a manner reminiscent of the Christian Trinity, the functioning of our own minds coopted by Augustine and Aquinas to explain the Trinity, and Aristotle's unmoved mover that motivates Plato's forms to implement the universal dynamics of hylomorphism." [notes 2 September, page 220]
Monday 4 September 2023
The key to peace is our collective mental state, and the key to human mental consistency is to key it to the reality of a consistent world. At present both theology and physics are not consistent with the world, and the first step would seem to be the creative use of scientific (evolutionary) method to ensure such consistency, ie politics must become informed by reality rather than partisan dreams. The fundamental point is human symmetry. The best I can do is to suggest a path toward this ideal by capturing the historical unifying effect of science where it seems to be most effective, in health care, halfway between physics and theology. Health workers can exploit human symmetry to work anywhere in the world. The human population explosion is a consequence of improvement in health care, often from the very low base of high neonatal mortality of children and perinatal mortality of mothers.
So a plan: begin with biology and genetics, work down to physics, up to theology, cumbersome
[page 225]
stick to the old plan, from initial singularity via bifurcation from pure action to gravitation and quantum mechanics to the universe as a whole. So, with cc17_gravitation in passable shape.
I spend some of my time ashamed of myself because I cannot write clearly what is in my mind. It is a process of repeat and polish, rather like lens grinding and I lack the persistence to reach perfection. I have been trying for 60 years and I feel that I have 20 more to perfect my story. The only answer ever is to keep going. Next revise cc19_fixed points after I read it again to decide whether it adds to the story. It is a throwback to the emergence of Hilbert space in the initial singularity .
Tuesday 5 September 2023
cc18_network; cc19_fixed-points: argument against quantum fluctuations which are the fictitious source of the cosmological constant problem. The fact that the universe is digitized by the quantum of action is the ground of logical certainty, as in the Turing machine, not of uncertainty as proponents of continuous mathematics seem to think. The fundamental error in QFT is the idea that a continuum has infinite degrees of freedom whereas it has zero degrees of freedom since it carries no information. This error is implicit in the concept of the thermodynamic limit and the continuum of probability (law of large numbers) since entropy and probability, like the cardinals of point sets, are counts of discrete entities that cannot be made continuous by squeezing.
[page 226]
cc20_memory: Rewrite, introducing entropy, information, quantization, critique of QFT.
Next steps: Network II: transfinite logical space cc21:
Transfinite Minkowski space cc22:
QFT: → the transition to Turing vacuum: cc23, and the replacement of continuous mathematics and renormalization with network logic.
Woke this morning full of optimism for the completion of the website cognitive cosmology and the book cognitive cosmogenesis by the end of the year. The cooption of gravitation to engineer the transition from kinematics to dynamics in the creation of real entropy and physical information has opened ny eyes to my own future and laid the foundations for a convincing critique of quantum field theory based on a Rovelli like complaint about the misuse of mathematics in physics, which is closely related to the theological error which connects divine [omniscience] with immateriality. Carlo Rovelli (2017): Reality is Not What it Seems: The Journey to Quantum Gravity
Wednesday 6 September 2023
So a plan: give myself two days each to finish cc20 →
When I think about the sadness the Catholic Church has brought me and the world around me
[page 227]
I wonder why I am not more active trying to combat it. Perhaps I am always waiting and sparring for the killer blow. cc20_memory goes slowly. Still waiting for a picture of the heart of the story, which I think is entropy, detail, complexity, and the infinite careful precision of evolution over long periods. The world of fundamental particles is effectively complete with a simple centre and many low probability exploratory outliers. What we really want to do with cc20 is to write to the title (good work done months ago: Space-time, cosmic memory and operating system), controlling the boundless possibilities of Hilbert space to create space-time so we need to add backbone to cc12_hilbert-minkowski.
How does Minkowski space place limits on Hilbert space? Hilbert space exists in a region of no metric? Where every vector is its own metric and so automatically normalized to 1? Does the photon exist in Hilbert space? Carry a Hilbert space vector with it? As every particle does? Because Hilbert vectors are orthogonal they cannot measure each other? Becasue they are fixed points associated with different computable functions they are orthogonal? One feels so much better when ideas start to flow, even if they are bit silly, like silly sex maybe.
I am serious about all this and the heuristic of simplicity suggests that something like this could be true.
[page 228]
My fear with each new step is that I will not be able to complete it (like cc17_gravitation) and this will bring my journey to a halt. Bed early and dream about it. Coffee and cake with Auntie in the morning.
The story is that kinematic Hilbert space feeds entopy into the system just as genetic diversity does and then the constraints of dynamic entropy do the selection and this cycle continues to bring about evolution by natural selection as we see in mathematics where formal dreams (conjectures) are subject to selection by proof [only ℵ0 of the ℵ1 permutations of the natural numbers are Turing proofs, rather like P vs NP]. We see this happen in quantum observation as described by von Neumann. The way forward is cleared again by the kinematic / dynamic trick built into evolutionary genetics / survival. Nurture of children continues the kinematic process after birth but eventually they are on their own and dynamics takes over. But cooperation introduces new kinematics to reduce individual dependencies on dynamism.
It is interesting that I intuitively chose spacetime as the operating system and controller of the world before I even had the slightest clue of the mechanism described above. Now I can go to bed happy, read a few Japanese fairy tales and sleep to dream
[page 229]
Thursday 7 September 2023
Theology and physics are both moral matters, like all science, and bullshit cannot be tolerated.
Friday 8 September 2023
Now I feel that I have got cc20_memory in the bag, Just have to get all the pieces in the right order. How do we create memory, that is entropy? By making information physical, ie by using the potential of gravitation [to convert ideas] from kinematics to dynamics, by turning Descartes clear and distinct ideas into clear and distinct physical objects, ie particles. How does this currently work? The initial singularity is a mathematician following Hilbert's program [maybe working by analogy with the quantum creation of Minkowski space].
The monstrous evil of the Catholic Church [and the Communist Party of China] arises from the fact that it makes kinematic dreams of imagination [of old and powerful men] physical. Geoffrey Roberts: China’s concerning new strategy on human rights: unite the world behind a ‘selective’ approach'
Creation: we can have negative energy, but not negative entropy (despite Brillouin). So what about symmetry with respect to complexity? eg kinemism vs dynamism? Leon Brillouin (1962): Science and Information Theory
Let us imagine a fixed point per Turing computable function [the simplest being f(x) = not-x], [so there are] ℵ0 of them, the dimension of the primordial Hilbert space.
[page 230]
Watch the tennis and realize how hard these people have to work for their success [and don't be so lazy!].
Periodic periods of doubt infest my mind but on the whole each task increases my confidence [and I expect that the same situation applies in cognitive cosmogenesis as it works out in the Universe]. How does mathematics apply to the initial singularity? It is not there in advance: it must be created. We are beginning with Turing computable functions mapping the initial singularity onto the quantum [real, Hermitian] fixed points that lay the foundations of quantum mechanics. So fixed point theory has to be invented to make the Hilbert space and then interactions of vectors in the Hilbert space must create eigenvalues and so on. The first thing we need to do is create Minkowski space via photons and then electrons, ie electrodynamics, weak force and strong force [since the codecs that connect the network are closely related to the sources in the network]. It is possible because it occurred in high energy collisions in the LHC and elsewhere, and this might be why people like the big bang. We imagine that the Hilbert space is a kinetic space driven by the dynamic singularity [kinetic = Hilbert = angel = formal] and then it spawns copies of itself, children, which become more and more complex particles [whose "souls" are complex angels, the spiritual Hilbert soul].
Do I believe my story? In a way I think it is better than the old ones on both the physical and the theological side and I think that it will make an interesting and perhaps marketable book and may have some influence in theology and physics and maybe make me some money. After all it is work of fiction, that is hypothesis, so it is part of a
[page 231]
fair game. The thing I like about it, as these years of notes record, is that new insights seem to keep coming and improving the story and if I can make it work it will liven up my old age and give me the funds necessary to travel after I have spent so much time pursuing romance and theology instead of an honest job.
Every little step forward seems to take more time than I expect. I hope to have cc-20 finished by the end of the weekend, but like cc17_gravitation it is making me go over the whole story again and the kinetic / dynamic distinction is falling into harmony with the Hilbert / Minkowski distinction because I am seeing the Hilbert space as a kinetic product of the initial singularity defined by von Neumann's axioms and constructed by fixed point theory, all very neat. Then quantum mechanics, also kinetic, does its stuff acting at random driven by the dynamism of the gravitational element of the singularity to lay the variational foundation for the evolution of Minkowski space and particles. Here we get a glimpse of the idea that because general relativity is continuous it is meaningless and so it is in effect constructed by the need for Minkowski space to guarantee its own existence by becoming closed, forming orbits and groups, following the same path as Einstein working from electrodynamics to special relativity via Maxwell's equations [which make perfect sense in Hilbert space in photons] and being led on to general relativity by general covariance, ie getting
[page 231]
rid of the reference frame because the Universe is closed and making continuous, closed, convex set to generate the [kinetic] fixed points that constitute the quantum universe [and feeding them with energy to make them dynamic]. These few words constitute another day's work while I read Agatha's story of Endless night [about an incorrigibly evil child]. So I can go to bed having caught a few more glimpses of the future of physical theology aka cognitive cosmogenesis.
Chrissie Hynde sings Bob Dylan Tomorrow is a Long Time. Clearly I want to be as good as Dylan (and everybody else!) Chrissy Hynde Sings Bob Dylan: Tomorrow is a Long Time
Saturday 9 September 2023
At present all my effort is going into the initial epoch of the evolution of the divinity into the Universe, paralleling the bi bang period, hoping at this early stage to identify god and the universe. In a way this would work just as well with the big bang theory because the essential element is the identification of the divinity and the initial singularity but some of the advantages of my approach are:
1. My initial singularity is a quantum entity and, like the traditional divinity and Aristotle's unmoved mover, is pure actuality.
2. The emergence of Hilbert space and quantum mechanics in parallel with the emergence of the Trinity [given a countable number of "persons" rather than just three].
[page 233]
3. The evolutionary development of entropy given that the initial symmetry, in whatever form, has neither energy nor entropy,
4. The quantum mechanical explanation of the role of the peculiar metric of Minkowski space.
5. the role played by non-quantized gravitation in converting kinematic into dynamic entities.
6. Revision of the order of Hilbert and Minkowski space removes most of the trouble arising from the union of quantum mechanics and special relativity, since it removes the need for Lorentz transformation of Hilbert space (Veltman page 20). Martinus Veltman (1994): Diagrammatica: The Path to the Feynman Rules
The central issue in cc20_memory is the emergence of Minkowski space which carries memory in two forms: the existence of particles (massless bosons) travelling at c outside spacetime, and the existence of durable massive [3D] particles (fermions) occupying the three 'static' dimensions of Minkowski space, all connected by the rotation of Minkowski space brought about by the relative velocities between inertial frames. The memory issue is much deeper than I thought and may take a long think like cc17_gravitation to resolve. The issues must nevertheless be connected.
What looks like a bogus relationship between Hilbert space and Minkowski space
[page 234]
is described in Kuhlmann: 'in conclusion it must be emphasized that in QM and QFT states [vectors] and observables [matrices] are equally important. However, to some extent their roles are switched. While states in QM have concrete spatio-temporal meaning in terms of probabilities and position measurements [because of the conventional use of Minkowski space as the domain of Hilbert space] in QFT states are abstract entities and it is the quantum field operators [Hilbert matrices plastered onto Minkowski space] that allow for spatio-temporal interpretation. See the section on the field interpretation of for a critical discussion [whereas from my point of view there are only particles in Minkowski space which interact through their associated Hilbert space via massless bosons].'
Endless Night: a drama with interesting characters. Symmmetry with respect to complexity sees the first steps of the emergence of the universe as a drama with interesting characters also,which physicists se as quantified mathematical variables but perhaps this is too simple to catch the story [and we must replace the numbers with vectors representing the actions the characters do with another]. Agatha Christie (1967, 2011): Endless Night
Phone ??? 'Maybe hadrons are he first things to appear with gluons and quarks These are quite complex so we'd expect them to come later. First photons, electrons and positrons formed by the Dirac equation . . . which is 4D which will be handy and which will form a 4D diron which is the predecessor of 4D Minkowski space. That fis Sufficient, but is it necessary? Yes, necessary to give free movement to massive electrons and positrons. Then why so little anti-matter?? We have to wait for the weak force to sort that out.'
Agatha page 504: "Endless night": Her best
[page 235]
and a lesson to me. Unlike Michael Rogers I feel that due to my mother [and fear she felt with my father at war] I was born inherently good into an evil religion that it has somehow become my role to destroy it and the only way I can do this is what I have called the Einstein method, to make a scientific breakthrough with will bring me a wave of power sufficient to wash the church clean. Th seah for this knowledge is the purpose of these notes and every now and then I get a glimpse of the picture I am trying to paint. Now it is cc20_memory, a picture of the fundamental structure that the divinity has imprinted upon itself in the billions of years of evolution since it [began as just] the initial singularity. I cannot describe the idea I want yet because it is not yet born but i can go on preparing the nursery into which it will be born, the child that my mother set in motion to sae the world. The best thing I can do in her memory is reform the church to which she gave her life. I would like to be able to do this and I will keep dreaming until my love brings forth a world of endless delight, the antidote to the militant evil that is slowly enveloping us. Melodramatic but motivational. [This evil is not inevitable, it arises from lack of providence in the face of evolution]. Now write on,