Notes
Sunday 16 July 2023 - Saturday 22 July 2023
[page 129]
Sunday 16 July 2023
The fundamental errors in both physics and theology: giving causal reality to unobservable figments of reality - this to go in cognitive cosmology abstract.
Monday 17 July 2023
cc17_gravitation: Here at last we bifurcate the initial singularity, the divine agent activating the world, into gravitational potential.which represents the structureless eternal feature, and quantum mechanics, which represents the kinetic creative feature which through the transformation of kinematic photons in Hilbert space through the agency of gravitation implements the dynamics of the universe through observing itself enabled by real Minkowski space whose metric enables quantum communication in spacetime through the null geodesic. Too exciting to write.
[page 130]
The symmetry that couples creation and annihilation is the set of stationary points of the operator executing the operation not. This can be very complex. It is just an odd number of changes in the p to make it into not-p, ie the bandwidth of not is unbounded. You can not anything which is the fundamental basis of the logic of quantum mechanics. The not is performed at constant entropy, that is at equal dimensions in Hilbert space. Hilbert space carries the operator not through the harmonic oscillator, the clock spanning the gap between Hilbert space and Minkowski space. I can write this although I don't quite understand it. The understanding is guided by the eigenvalue of the operator executing the not. This is to say that every operation can be reduced to kinetic sequence of not operators? how is this sequence remembered. It is embedded in the algorithm of the not as a superposition of frequencies which we would like to be able to decode into a Turing machine; ie a set of discrete symbols to be executed simultaneously by superposition in a Hilbert space that exists before spacetime. Turing machines speak logic and kinematics, reality speaks communication through spacetime executed as a sequence of equations and not a superposition of operations which yields a formal set stationary eigenvectors.
[page 131]
All we have to go on in general relativity is Minkowski space and all we have to go on in quantum mechanics is Hilbert space. The normal way in physics is to pick a space with a metric and then contrive algebraic equations of the metric to constrain the behaviour in this too big space. A better way would be to find a space and a theory that correspond 1 to 1 to each other. As soon as I walked into the monastery in Camberwell I knew I had a problem and now 60 years later the solution is beginning to appear in reality in a combination of physics and theology.
Tuesday 18 July 2023
Trying to get cc17_gravitation into a nutshell:
1. Initial singularity = initial symmetry pure action + pure potential [concrete, undifferentiated]
2. IS zero-sum bifurcation to pure action = quantum mechanics + pure potential = gravitation (both kinematic? [driven by concrete divine initial symmetry/singularity].
3. Action + potential (observation → real particles, photons, bosons)
4. Photons → Minkowski space.
Minkowski space → massive particles → fermions, 4D.
6. General relativity / Dirac equation, also 4D.
7. Boson - fermion network.
We see this as a map for the development of the
[page 132]
imaginative intelligence of the cognitive universe, to be embraced by a theology of creation which we call cognitive cosmogenesis which serves as a foundation for a religion, a technology of peace, which will serve as the guide toward a peaceful planet as first outlined in Nicholls 1967 and Nicholls 1987. Jeffrey Nicholls (1967): How universal is the universe?, Jeffrey Nicholls (1987): A theory of peace
Zho Xin on CPC control of human communication and applied fascism vs applied Cantorism [transfinity]. Zhou Xin: What will happen when China’s strict online censorship comes up against AI-generated content?, McGregor (2010): The Party: The Secret World of China's Communist Rulers
The initial singularity is not causal and its first move was to bifurcate into a stable potential and a random kinesis, a fixed potential and a set of random fixed points, ie an uncontrolled Hilbert space whose only control is the orthogonality of the basis states. We keep juggling this until we get a fit. One feature of Hilbert space is random superposition which is equivalent to 'time'. Look at Kolmogorov again and the cybernetics of randomness — what demands the existence of complete systems of events , ie communication sources? The initial singularity is a fixed point with no information content [ ie omnino simplex like the classical divinity]. Cognitivism places constraints on nothingness! Ie the cognitive constraint is consistency, which demands space for discrete ideas like the members of the Trinity. Andrei Kolmogorov (1956): Foundations of the Theory of Probability
[page 133]
Much of the confusion noted by Kuhlman arises because physics has got the cart before the horse. This is an historical accident caused by an excess of familiarity with Cartesian and Minkowski spaces. We accept these spaces as given like Newton and see them as an eternal and immutable foundation of the world established by the creator. Here we take a different view: Minkowski space is the cart and Hilbert space is the horse and here in the interests of practicality we place the cart behind the horse. Isaac Newton (1726): General Scholium
We start with Everett who tried to ignore Minkowski space and do it all in Hilbert space as a means to introduce gravitation. This led to many worlds and ignored the kinematics of Hilbert space and seemed to imply that the principle of conservation of energy did not prevent the creation of an infinity of worlds, a position that says that the 'energy' of the Hilbert space is kinematic, not dynamic, driven by the creator: a position I am happy with (see page 14: "Measurement": the interface between Hilbert and Minkowski spaces §3: Or one space splitting into many universes?) [Everett's position attracted many influential followers who must have been aware of this implication. Hugh Everett III (1973): The Many Worlds Interpretation of Quantum Mechanics, David Deutsch (1997): The Fabric of Reality: The Science of Parallel Universes - and its Implications
In the initial singularity [symmetry] gravitation and quantum mechanics are identical at the level of pure action / potential and the first step in their differentiation is the introduction if quanta of action in the initial singularity energized by potential drawn from gravitation: page 9: The active creation of Hilbert space.
Hilbert space is the space of waves and probabilities which produces the variation necessary for evolution.
[page 134]
Does this work bring me joy? I think I am making wonderful progress after 60 years of steady work, but I wonder if it is true? Maybe not, but it could be an exciting myth and when I have finished cognitive cosmogenesis I will package the book as mythology, citing cosmogenesis as my evidence.
Minkowski space is created inside Hilbert space by the first particles, the photon and the electron who lead us to 4D and general relativity as the physical picture of the universe within the singularity. All this to be illustrated by sets and subsets burrowing down into transfinity [ie to relatively smaller and smaller points].
So initial singularity → Hilbert space → cognitive cosmogenesis bringing out [stationary points, ie insights in] Schrödinger measurement, fixed points, eigenvalues → photon, electron, → Minkowski space → Dirac equation, → network. Now we have a cyclic / orbital relationship between Hilbert and Minkowski [eg the operation of a physical computer step by step] (more pieces to juggle but the puzzle is slowly constructing its own answer.
God feeds Hilbert which feeds Minkowski which feeds Einstein, who feeds back into Minkowski who feeds Hilbert who builds God. A creative orbit, like my life, the life of the universe.
Wednesday 19 July 2023
Nonsense poetry = music = hypothesis: meaningless word arranged in meaningful syntax. Follow Feynman's definition of light - any photon [regardless of energy], so word = any mark [any duality, any bit].[page 135]
Tummy rumbles, breakfast time. Scalp still shingly, a beetch.
Everett's approach shows there is only kinematic not dynamic energy in Hilbert space, so we can have an infinity of universes without breaching conservation of energy, except perhaps if all of these universes are zero energy, which can only be achieved if they are zero energy universes which is only possible with dynamic and [offsetting] potential energy. So we go on with the kinetic / dynamic distinction. The Hilbert space is kinematic, driven by "quantum" uncertainty, driven by lack of control, but only one word at a time from the measured source. Still a bit confusing. As said many times, zero dynamic energy in Hilbert space solves the cosmological constant problem.
Thursday 20 July 2023
The initial singularity is divine and therefore real. It then splits, like the numbers, into real numbers (gravitation) and imaginary numbers (Hilbert space) which is then filtered by selection into real numbers (eigenvalues) and the [pure] imaginary numbers rejected. The real eigenvalues combined with the gravitational potential give us the real particles, in particular the massless bosons that enable the imaginary quantum regime to cross spacetime riding on null geodesics, ie Minkowski space. The advent of massive particles gives us 4D Minkowski which in the interests of closure acts as a tangent to the real world giving us gravitation and orbits. Too simple to be true, but
[page 136]
it must be something like this because the initial singularity must be omnino simplex, the initial symmetry and can only grow complexity step by step. Thankyou Auntie.
Every process is a series of scenes and transitions - Barbie.
What is money? [Kinematic social convention] Peter Coy. Money: Hilbert space: gravity; Minkowski. Potency and act are a kinematic / dynamic duality, and, as in Aristotle, are the central actors is cognitive cosmogenesis. We have been going along quite well but in cc17_gravitation have come to the point: is gravitation potential or action. Untanglement required, made available by considering the spiritual Hilbert world that predates the material world where information is physical. In Aristotle and Aquinas information is spiritual. In cognitive cosmogenesis it is both, ie the reflection of entropy. Information carried by a point (symbol) is equivalent to the entropy of the space in which it exists. The primordial space is the qubit. This is giving me a headache which has something to do with the shingles. Peter Coy: One Economist Is Challenging How We Think Money WorksThe union of physics and theology rotates around the definition of information which rotates around the complex plane from real to imaginary and back, and when we look for answers we can only read the real (physical) [stationary] axis. The whole question of matter and spirit revolved around |ψ|2.
Is Minkowski space inside Hilbert or vice versa? [the small is inside the big??]
[page 137]
Complex numbers as a means of solving polynomial equations take us to places where real numbers cannot go just as a cognitive approach to a theory of everything enables us to use spirit as well as matter to understand the world. This is an age old custom which I am just trying to reconstruct in modern terms and bit by bit I come to see that complex numbers and Hilbert space hold the key. The quantum computation mob think that quantum computation will be more powerful computationally than Turing machines but this is not so much a matter of computing speed as the versatility of superposition which has the effect of highlighting the real solutions to problems. We might sum up by saying complex (complete) algebra is spiritual (as opposed to physical) algebra. All this will come to light on the page on gravitation which explains the role of gravity in realizing the zero energy universe. Keep writing like this until it makes sense. What we say is kinematic = transfinite (ℵ1 +); physical = countable (ℵ0), complex vectors in Hilbert space give us a kinematic continuum [which is probably a contradiction in terms, since a kinema is made of a sequence of fixed points].
Comlex numbers are complete and closed like god and the universe, exploring the whole space of consistency that is [defined by] logical confinement and shaping the universe as a set of Minkowski tangent planes that we have called the Diron, a 4D version of the complex plane.. The rays in quantum mechanics are 2D complex planes, but it is the Dirac equation that takes us fron the complex plane to 4D Minkowski space.
[page 138]
Looking for clarity. The divine initial singularity is sui generis, neither matter nor spirit, the eternal symmetry that defines the world, what Aristotle and Aquinas would call actus purus. * The first break in the symmetry is into quantum mechanics and gravitation, both comprising the initial singularity plus kinematic quantum mechanics and what? Gravitation? potential? What does the general theory say before the advent of Minkowski space and particles? Mathematical consistency [in effect kinematic, driven by human minds] includes Gödel and Turing, so consistency without determinism, ie the ability to be the servant of quantum mechanics realizing its possibilities. Gravitation is not quantized. What is gravitation doing? Supplying real energy to quantum mechanical stationary points, beginning with photons. We're trying to keep it simple - the initial singularity / initial symmetry splits into quantum and gravitation.
* The first break in the symmetry is into the first qubit (page 129, 131), an harmonic oscillator between gravitation and quantum mechanics whose internal current is action, running from action of potential to the action of kinematics, making the kinematics of Hilbert space into the reality of the photon - the photons binds gravitation to quantum mechanics and this makes the photon real and the source of the Minkowski metric in 2D; and then we go to electrons and 4D. Getting closer: [massless] bosons are the bridge between gravitation and
[page 139]
quantum mechanics. The best progeny of shingles. Right down here we are keeping it so simple, from 0D, 1D, 2D, 4D, where we have the foundations of the universe upon which we build the universal network.
Smiley and Anne, page 257, an interplay of potency and act in a qubit made of two people, a couple. Can I talk to NN about my three wives and my four children as I talk about the roots of the Universe? Every relationship is pairwise, momentarily, a one to one correspondence, as a network is a cloud of ephemeral connections. Le Carre (1980): Smiley's People
Concept and reality / spirit and matter / gravitation and quantum theory / dreams and information.
Friday 21 July 2023
My only desire is to revolutionize physics and theology by uniting them at their traditional roots, God and the initial singularity. Now to get from dream to reality by connecting quantum mechanics and general relativity. It all seems to be on the tip of my tongue, just have to get it out and to do this I need to identify what is holding it back, some element of myself, but what? My aim is to see myself as a anonymous and generic particle in the universe, made in the image of god and in some deep sense a duality, since all meaning comes from correspondences within dualities and the current duality of interest is gravitation
[page 140]
and quantum mechanics, the dualistic stress between the Universe as a whole (gravitation) and the elements from which it is constructed (gods, quanta of action). I am a quantum of action defined by my universal environment and the connection must be symmetry with respect to complexity.
Letter to Pope Francis, notes13m11d10 submit to NYT op ed. Done. Jeffrey Nicholls (2013_11_10): Notes, 10 November 2013
From a topological point of view a space [set] E and the empty set ∅ are complementary and both open and closed. Insofar as they are closed, they fulfil the requirements of fixed point theory and are thus capable of mapping onto themselves and creating fixed points and quantum mechanics. Insofar as they are open, they have no fixed points and we may identify them with gravitation, a perfectly continuous open differentiable manifold upon which quantum theory is superposed.
Phillippe, Alzner, Compo, Grimshaw & Smith: Fallout from U.S. atmospheric nuclear tests in New Mexico and Nevada (1945-1962)
Saturday 22 January 2023
Mathematics is both kinematic and dynamic, implemented by mind, computer and universe.
Can it be true? Gravitation might be solved but the nest big problem is antiparticles. Feynman and Weinberg 1986. Richard Feynman & Steven Weinberg (1986): Elementary Particles and the Laws of Physics: The 1986 Dirac Memorial Lectures
[page 141]
The fundamental unit is the quantum of action with dimensions in Minkowski space of spin [angular momentum]. In logical space its unit is not fundamental dichotomy is p ⇆ not-p. So e+= not-e− and e+ + not-e− = γ. So we can say that γ bifurcates into e+ + not-e− which is the emergence of electrical charge from the electromagnetic symmetry in γ which is in some way derived from the bifurcation of action into spin up and spin down which are parallel but pointing in opposite directions. So in some way we can equate the photon with gravitation in 2D; and from a computational point of view computation is a 2D thing like phase or angle and in the quantum world vectors may have any length but their direction is a fixed point and the basis of a Hilbert space is a set of pairwise orthogonal unit vectors which are defined by operators which are in effect identical to matrices and vectors the count of whose bases is the dimension of the Hilbert space in which they operate. A multidimensional space can be represented by a polynomial whose variety becomes constant when the independent variable x of the polynomial is not-1 and raised to a spectrum of powers. Writing is like wandering through the bush. You do not know what you are going to see and record next. This is how a sort of text composing AI works, using a statistical analysis of everything that was ever written to decide the next {symbol} to add, [running from]
[page 142]
∅ to a set whose power is ℵ0. Does this mean that we can see logical confinement as the normalization of vectors as the way that nature achieves [complete systems of events] and 'cognitive' computing speeds [achieved by superposition]. The last page is a product of seeing my sister with cancer, shingles and nicotine (maybe). How does superposition work in a neural net - each cell, symbol, synapse is weighted by a time based superposition of all of its inputs. So in the page on networks and computation [cc18_network] we have to map a superposition of 'waves' onto a Turing machine. The film of ignorance between what I am writing and what I think I am seeing seems to be becoming diaphanous (greek for transparent). How do you test people (or AI programs)? Say something and listen to their reply, viva voce. The universe talks and we can see this in quantum terms as money talks, the unit of money being a quantum of action, ie one unit of work, [one turn of the machine in the classical world]. In Minkowski space this means moving a force of 1 through a distance of one. In computation it means one tick of the clock, but what happens during that tick may be very complex, an infinite dimensional vector, operator, representing all the state changes made in the dynamic phase of the tick before the machine settles down to its next stationary state [arrived at kinetically from the previous stationary state bound to it by an algorithm, (which may be the state itself)]. Matrices and vectors are dual. Stop here for a cuppa.
Kinetic vs dynamic ⇆ platonic vs romantic ⇆ vs potential vs action, the binary duality impresed on every event by the fundamental reality of duality, know ⇆ act,
[page 143]
nuclear physics ⇆ bomb, Turing machine ⇆ computer, lust ⇆ offspring, and at root lust is the driver of all romantic fantasies and every now and then one of them becomes true and a child is born.
Le Carre - tales of lethal romance, inter-group (family, tribe, nation) evolutionary competition encapsulated into long games like cricket, orgasm, knockout, killing, actus completus, entelecheia brought about by the application of energeia. Since the beginning of the anthropocene in 1945 all this spy stuff has been centered on nuclear weapons. Here is where physics and theology meet, in the nucleus. My youthful terror was nuclear weapons and my search has been a search for the theological answer to them just as the universe has been searching for the answers to black holes snd supernovas: and the answer is enough space to keep away from the dangerous places, ie to structure human psychological space so that murder becomes unnecessary.
Smiley page 284: 'George, I mean that woman is a total monster. . . . Love — I mean all right, but possession for its own sake, this is I absolutely condemn. It's a matter of principle for me'.
A pass. An aspiration to greatness which he knew would never be fulfilled. I can go public when I know I am right, and that seems to be getting closer as we work from initial
[page 144]
singularity to universe, - omnipotence + complete ignorance [noise] → universe, the fundamental principle of cognitive cosmogenesis, which will have nothing bad to say about the church, just pick the eyes out of its theology.
The problem of the uncontrolled immune system. Eucharist Kuhn et al: The genetic architecture and evolution of the human skeletal form
Let us say that gravitation is the continuous function that maps the initial singularity onto it fixed points, providing the potential that makes the quanta of action real by providing the energy necessary to make them real as they observe one another to become [actual] photons carrying the fixed points along geodesics to create real 2D Minkowski space which is [both the] home [and the product] of photons which create massive electrons and positrons which carry their state inside the united fixed points or something like this, every quantum being in contact with its associated gravitational source, maintaining the zero-energy quality of the initial singularity, bringing it back by the simplest possible route to the act of creating both photon and space [and in some way explains why photons are massless and never at rest - this will come soon]. So we want to know, what holds massive fixed points like electrons and hadrons together, [massive particles with rest frames, there is a lot more in Minkowski space than meets the eye]?
[Note: this week of shingles on my head has made me a bit scatterbrained]