Notes
Sunday 19 April 2020 - Saturday 25 April 2020
[Notebook: DB 84 Pam's Book]
[page 273]
Sunday 19 April 2020
In the region of logical pregeometry the quantum of action is simply a formal measure of a logical operation. This remains true on the time / energy domain, but once we introduce the space-time metric and the isomorphic behaviour of momentum-energy the pixel becomes broken into a product of energy.time or momentum.space and this is where the rot sets in to quantum field theory with the demand of high momentum and energy, to improve resolution in space-time, leading to the infinity problem.
Monday 20 April 2020
I miss the easy life of building and plumbing where all the problems are simple with straight forward solution. I learnt a lot of my trade in the Dominicans making hundreds of items of furniture for the new convent in Canberra. This work gave me a sense of purpose connecting me to my practical country childhood and serving as an antidote to the sea of strange philosophical and theological ideas in which I was immersed, made more obscure by being expressed largely in Latin, a language on which my initial grasp was rather tenuous. Then there was the emotional turmoil of being attracted by my brethren in an environment that encouraged silence, isolation and the mystical value of spending hours every day chanting meaningless prayers, hampered by my apparent inability to sing in tune. Being rejected by this lifestyle was both a shock and a liberation and I slowly got back on course by becoming a builder in a small village where work was plentiful and life was inexpensive.
Now old age and the virus lockdown have brought me in a circle. I m no longer a tradesman and once again immersed in a sea of intellectual uncertainty as I try to navigate my way through new theological ideas and find an audience in a world that seems to have no interest in bringing theology into the scientific fold. Like a lost explorer, however, I have little choice but to continually reevaluate my position to seek a profitable direction. In this I am continually being reminded by the parallels between psychology and geography. Theology I see as the fundamental scientific source for navigating the psychological world from individual lives to the ships of state and the planet as a whole, which appears to be reaching critical points in all its spheres, atmosphere, hydrosphere, biosphere and psychosphere, aka noosphere.
[page 275]
I feel pathetic because the problems I face seem insoluble and confident because I have done alright so far. Trying to identify the key question which seems to be the relationship between formalism and reality. Gravity is a very concrete force. How is it explained by geometrodynamics and since geometry is explained by logic how do we construct a logical model of gravity, and since quantum mechanics embraces logic how do we construct a quantum mechanical model of gravity? in other words how does logic make me feel heavy and somewhat pathetic whereas in my youth I used to rejoice in heavy weight?
The chain of arguments above seems to have moved me but how did they do it by logical = psychological force? How does modelling connect to the body? By transduction because information is physical. Why does the bridge stay up? Interatomic forces. Its like trying to sing. I do not have the control to do it. Know how is control, which I can do with tools and materials but find it a bit hard with ideas. On the other hand I look at all the ideas around me and none of them seem too difficult.
Old mate Thomas called thinkings componens et dividens. I would say combining and permuting, but it is the same idea, trying all the possibilities to see what comes out. This is why I write so much nonsense on the off chance that some might make sense.
How does entanglement couple to the metric. This is my main difficulty with physics connecting the formalism to the object it describes.
Maybe we think of gravitation as just naked [probability] amplitude without observation and an infinite spectrum of uncontrolled vibrations by the continuous action of random quanta of action serving as the vacuum out of which we get real particles and there are no virtual particles, just endless superpositions
[page 276]
which as we have said before we try, [and] from which certain durable states [are] selected.
An old thought coming back from reading Veltman long ago. He spends some time describing the difficulty of doing Lorentz transformations on Hilbert space in order to maintain the Lorentz invariance of the real world of actual particles and I thought then that we need only apply Minkowski and Lorentz to the actual observations and leave the Hilbert space alone because it preexists spacetime like MTWs pregeometry or my logical network. So we assume that the underlying the world we find the transfinite space of interacting amplitudes which occasionally 'measure' one another by falling into the harmony of a common basis and give us real space-time energy and momentum which obeys special and general relativity. So we may think of the general theory as the first metric manifestation of naked amplitudes which have the logical properties of the transfinite network existing in the realm where space and time do not exist but emerge from this system of amplitudes by observing itself. Is this a step in the right direction? It has been a long time coming. Diagrammatica page 20 Martinus Veltman; Diagrammatica; The Path to the Feynman Rules
On the assumption that gravitation exists before and independently of particles we can say it is uncollapsed amplitude equivalent to the wave function of the universe or the transfinite network.
Tuesday 21 April 2020
Feeling poetic this morning. Notebook Poesis 8 January 1982 → 23 January 1983, DB 3. Formalism: symbolic
[page 277]
structures stand by themselves and obey their own syntax without any reference to meaning. Frank Jackson; Epiphenomenal Qualia
A machine computation is essentially a linear process, one step proceeding after another, even though the process itself may branch and repeat itself as [it] continues.' The situation in a network is more complex because a network system accepts many real time inputs [and attendant interrupts] and delivers many outputs, but in the universal system envisaged here we may imagine that all communication ultimately passes through the lowest hardware layer which we can identify with the initial singularity whose conventional infinite energy maybe interpreted logically as infinite traffic.
What we are trying to say is that gravitation is implicit in the initial singularity, but that the first step is the conversion of action into energy via the implementation of the two dimensional circle group and then the energy becomes the foundation for spacetime and gravitation via superposition and Zurek's idea of common basis spaces in an observation through measurement operators. So the big ask is how do we get from complex amplitudes to real particles [and spaces]. Wojciech Hubert Zurek
At the space-time free amplitude level energy is of one sort, periodic, and does not bifurcate into kinetic-potential / energy-momentum until spacetime emerged from quantum theory.
How does this genealogy explain the space-time structure of the universe, and more particularly how the curvature of space is a consequence of entanglement?
We ere remember that coordinates are not implicit in the differentiable
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manifold and it has no metric so this mathematical structure can pre-exist space-time as quantum amplitudes do. The metric cannot appear until the duality of the tensor structure is introduced to enable the complex structure of the manifold to be reduced to a scalar in a manner analogous to the application of the Born rule in quantum mechanics.
Vectors in Hilbert space are analogous to the tangent planes on the differentiable manifold and they communicate by superposition where the tangent planes communicate via the connection.
Entanglement does not transfer real information (because this does not exist in amplitude space) but it does establish correlation which in 4D amounts to curvature.
How do we get from quantum mechanics [to inertial space] and has it got something to do with spin-statistics and the conversion from pixellation in time to pixellation in space, the inverse of what happens during the read out of ccds [charge coupled devices]. Charge-coupled device - Wikipedia
We just put all these ideas in and hope for the best.
Convergence of geodesics is correlation without causality. Is this the answer? Here we are interested in local process. All this amplitude stuff occurs in logical network space that is formal computation with instantaneous or eternal action at a distance because there is no distance [so we are in effect talking about pure mathematical formalism]. Distance (interval)
[page 279]
only comes with metric which comes with realised energy which comes with particles that begins with photons working up to stars, planets and black holes. etc.
What the ["collapse of the wave function"] amounts to is the formation of fixed real states in the universal dynamics.
The creation of observable reality is via the inner product of complex [conjugate] amplitudes to give the formation of real stationary points in the universal dynamics which are in effect revelations of the underlying divine activity. This is consistent with Auyang's belief that field theory is the ontological basis of reality [but it sees space-time as part of the field of amplitudes, not simply the domain of such amplitudes]. It is half the story and it is quantized (pixellated) because every full cycle of the amplitude [represents] a quantum of action. Sunny Auyang:2 How is Quantum Field Theory Possible?
Wednesday 22 April 2020
Pursuing the heuristic of simplicity we begin wth quantum mechanics in the form of naked logical amplitudes prior to the emergence of spacetime, which seems to be the source of all the problems in quantum field theory. The problem, it seems, is in making continuous Einstein type Minkowski space the domain of quantum mechanics. The error here is that we have got the float on top of the horse - in fact quantum mechanics is the domain of spacetime and the logical network is the domain of quantum mechanics. So we begin by digitizing Hilbert space using the logical transition of [not] to convert action into energy. So we begin the music with percussion, move on to harmony and then burst into combinations, permutations which can be represented through
[page 280]
Fourier transformations. Can I get this into a coherent story in a day?Dixie Chicks - Travellin' Soldier. So much of this death is rooted in false theology, a theology based on evolutionary epistemology of selection rather than the metaphysical epistemology of truth. Dixie Chicks: Travellin' Soldier
I'm not ready to make Nice. The Catholic Church has been an enormous burden for the human race to carry and it must be cast off. This has been my dream, probably almost since I was born, crystallized by my time in the monastery where I got a clear view of how far the power of Rome dragged the human soul away from its true nature. The root of the trouble is that they got god wrong. By making god into an invisible mystery they gave themselves a licence to create a false god in their own image, turning the line in Genesis upside down - the Catholic Church does not make humans in gods image but god in the image of caesar, a murdering soulless warlord. My life's work is to get things the right way up. A revolution, turn the divine world over. 4 Non Blondes, Linda Perry: Dixie Chicks: Not Ready to Make Nice, 4 Non Blondes; What's Up
Seventy five years and my life is still
Trying to get back up that great big hill of hope
For a destination
Begin with Hawking's time reversed black hole.
Aristotle's primum movens immobile, [Aquinas's actus primus, actus purus]
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Act to energy via logical not, unbounded range of frequencies due to total absence of control in absolutely simple initial singularity.
Then comes quantum mechanics, logical space version of quantum mechanics, - Misner Thorne and Wheeler pregeometry, so linear quantum mechanics. Misner, Thorne & Wheeler: Gravitation
Aside: The Church never shied from using lethal force to maintain its arbitrary orthodoxy. Karen Armstrong: Holy War: The Crusades and their impact on today's world
Thursday 23 April 2020
Constructing a world:
1. Abstract: Formalism and poetry
2. Deconstruction: gravitational collapse
3. Initial singularity, zero entropy [= zero structure]
4. Aristotle, [first mover] actus purus and god
5. Pregeometry, logic, computer network, no space-time yet, computer network the logical domain
6. Act to energy [via logical not], circle group and the roots of unity Root of unity - Wikipedia
7. Hilbert space as a logical network
8. Quantum mechanics [based on periodic action] before space-time began
9. Differentiable manifold - general relativity in a closed singularity
10. Space-time - memory - serial - parallel - fermion - boson - stroboscope
[page 282]
11. From complex dynamical motion to real stationary communication, collapse of ψ
12. Expansion, flattening and Minkowski - 3D wiring
13. Measurement and particles
14. The big bang - real space-time
15. Cosmic evolution - try everything, select stable
16. Carts and horses;
a) we are in god, not outside
b) logic then quantum theory
c) Wigner: complex to real
d) closed and curved before flat
e) logic is the domain of field theory, pre-space [space-time is a logical product]
f) no information in continuity
Snippets from the phone: 22/4
Metaphysics - Nature
We wish to use computer network to map Hilbert space onto the differentiable manifold.
Gravitation comes before inertial space. The opposite idea is another case of the float on top of the horse [but provided Einstein with a route from electrodynamics to general relativity, whereas one my guesses is that general relativity is the source of electrodynamics]
Gravitation starts with extreme curvature - (the circle group [spin]) and flattens by expanding.
The steps from gravitation to real particles implement the Born rule and introduces photons, electrons and the velocity of light and also fermions, bosons and the dichotomy of potential and
[page 283]
kinetic energy which require space-time as the domain for their existence.
The beauty of this is that we are proposing a series of steps to show how a time reversed black hole might work and the process explains the time forward black hole and the role of quantum mechanics in gravitation and the amplitude dynamic to real fixed point message transition, a gloss on Parmenides' insight. John Palmer (Stanford Encyclopedia of Philosophy): Parmenides
Keep shuffling the cards until we get a stable prediction.
So first make the point that black holes do not reverse easily and then go back to Aristotle, Parmenides and Plato and move forward to the emergence of particle physics by action creating variation controlled by natural selection.
Stationarity, ie space, arises by the stroboscopic illusion which is implemented by the clock in a computer which serves to hide the dynamics.
Closed universe means curved space comes before flat space, the universe is an infinite dimensional 'spherical' circle group with a transfinite array of subgroups [what constituters the invariant 'radius' of the group? - tensors make the metric invariant under changes of coordinates, what is this in logical / computational terms?].
Spin comes before linear motion, angular momentum before linear momentum [action rules].
Angular momentum is a complex scalar represented by the circle group.
Each turn is one cycle, one quantum of action.
Motion is complex, stationary is real, ie the message, or like a photon
[page 284]
binding logical to observable world, ie giving mass-energy to logic.
Amplitude world is what ancients called spirit world, the world of fields semi-real which needs to be multiplied by its complex conjugate [|ψψ*|2 = probability] to become real, ultimate expression of Wigner'd argument. Eugene Wigner: The Unreasonable Effectiveness of Mathematics in the Natural Sciences
Intelligent love is flowing ready to come tomorrow = today.
From mind to reality, ideas to print, dynamics to fixed points, differential equations to real solutions.
In a computer the clock acts as a stroboscope taking out the dynamics and leaving the eternal form. The velocity of light does this in space-time since photons appear to be outside space-time to every observer, who cannot see them in flight without annihilating them.
The real technical problem of studying motion was solved by Newton and Leibniz' calculus, Edison's movies, the clock in the computer, the stroboscope and the Born rule in quantum mechanics and fixed point theory implementing Parmenides, Plato and Aristotle's idea that we cannot see motion per se. The radical role of the velocity of light in communication and causality is that photons cannot be observed in space-time. Kinetoscope - Wikipedia
9 above: flat tangent spaces play the role of codecs to enable the connection between different points in the manifold.
[page 285]
The superposition of a vector and its conjugate eliminates the imaginary source of the dynamics, yielding a fixed point. In a sense it works like noise cancelling headphones, matching the signal with the anti-signal to generate silence.
In the field [amplitude] world everything is entangled so the system is closed, ie curved.
But entanglement does not cary information and operates in the formal world so it is in effect non-causality at a distance [note that conventional fields carry energy, amplitudes are purely formal and do not?]
Tomorrow must fit all these little bits into the essay, but what is the conclusion? One conclusion is that the answer to the cosmological constant problem is that amplitudes [are purely formal] and do not carry real energy.
The complex world is a reversible Carnot machine whose output is the real mechanical zero entropy world, mechanical energy.
Where is the erased message? Erased. What I said is that all this stuff is poetry rather than science but if we hang onto it long enough it might lead to a conclusion. I have temporarily forgotten that what we are doing here is cognitive cosmology and the world created itself from nothing as poets create art from nothing. The neural mind is best described by a complex network which works by superposition and this is the same mechanism as periodic energy created by the universe.
This stuff sounds lovely but like my thesis it is hard to bring it to
[page 286]
grips with reality. The best development since last year is to describe the periodic elements of the computer network as complex numbers. Jeffrey Nicholls: Prolegomenon to Scientific Theology
The computer is a periodic system which halts after each step [as Turing's "computer" could do] to take measurements best described with complex amplitudes and the Born rule. The circle group not operation is the foundation, and then we go to reversible quantum computation and the various operators which are a subset of all possible operators. We imagine the universe observing itself to give us the world of space-time and particles. We see the differentiable manifold as a model of mind.
A computer is aperiodic system which is rather like the stopped frame of a projected movie or the flashed light of a stroboscope to enable us to observe a stationary point. What I hope to do is to get my piece of writing to the point where is demands completion so that I finish it without pain or force simply by following my geodesic through cognitive space. The thing about mind is that so much gets erased from memory so it is very far from reversible. This may be the fault of quantum formalism. Too much simple minded mathematical emphasis on unitarity. This is saved by observation / measurement which is irrversible.
Like all my essays, the fqxi job starts as a hopeless task and limps to a potential conclusion, but even limping is progress.
I get much better ideas sitting in the park writing on my phone than cooped up in my room I seriously need a house of my own. Enough sharing with strangers. The answer, make 500k on the
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market. . . .
Computation is periodic but answers come when it is halted, same with quantum theory. Real computer halts and measures its state at each clock pulse.
Parmenides put his finger on the central problem of knowledge because processing takes time and we can be sure of things that are still. We see this built into the uncertainty principle of quantum mechanics and it is a deep feature of the world. The power of calculus to study motion is that we cut it into 'points' which are practically stationary and can be known.
Friday 24 April 2020
Two fermions and a boson constitute a message, a fixed point in the system joined initially by a null geodesic [contact] which serves as a measure of the velocity of light. Null geodesic is a logical entity outside space-time which continues to exist when space-time emerges.
. . .
[page 288]
We are getting to the point. How does the logical version of quantum mechanics create space-time as a space-time setting for quantum field theory and how are the difficulties of quantum field theory reflected in the fact that we have put space first and built a quantum theory on it rather than the other way around? Quite an interesting idea, but can I finish and essay on it by lunchtime tomorrow? I have to keep it short and sweet and the core of the story must revolve around the finite velocity of light and the infinite velocity of entanglement which is the case because entanglement predates space-time and so velocity has no meaning there. Perhaps I cannot answer the question, just pose it. FQXi Forum: On creating the world by Jeffrey Nicholls
A photon is a 'naked amplitude' slowed down by the space it has created and made invisible by the Lorentz transformation. Its velocity is measured by the permeability and permittivity of space, which has something to do with the special relativistic connection between electric and magnetic field. There is something here if I can put my finger on it, get a broad enough perspective. Do I have to get there via the general theory?
If anything, the null geodesic is the pivot between the logical world where all contact are null and the spacetime world where only contacts mediated by photon are null [? and all particles colliding on timelike trajectories ].
Saturday 25 April 2020
A computer network like the internet does not require a reference frame per se, it is self addressing and its users have relatively
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transparent access to the addresses of all the files they wish to access and can obtain addressed spaces to store their own files and make them publicly available if they so wish.
