vol VII: Notes
2013
Notes
[Sunday 10 March 2013 - Saturday 16 March 2013]
[Notebook: DB 75 Reconstruction]
Sunday 10 March 2013
[page 22]
Monday 11 March 2013
From a formal and empirical point of view, quantum mechanics appears to work perfectly. But how are we to interpret it? Let us guess that quantum mechanics is a set of algorithms for predicting the traffic on a network. A communication is a computation, as we see from Shannon's theory. Each channel is defined by a coding/decoding algorithm, codec. So we let each eigenfunction represent a channel, so that the relative traffic on a set of channels is described by the Born rule, which tells us what we expect to observe when we 'measure; a given transformation or change of state, eg when we observe the spectrum of an atom arising from changes in its electronic state. The formalism suggests that all the eigenfunctions are computed simultaneously in parallel by a transformation matrix [operator]. Since these transformations are assumed to be continuous, this implies large or infinite computational bandwidth, a feature that the quantum communication community hopes
[page 23]
to exploit. The problem arises in observation which gives us a low resolution view of the process believed to occur at infinite resolution, where resolution is measured by a count of distinguishable states [ie in a continuous process, the cardinal of the continuum]. The frequency of messages on a complete set of channels (basis) is very precisely defined by quantum field theory, as is the energy of the states measured, although a large number of observations is necessary to gain the statistical power to verify our calculations [to any high degree of accuracy]. The perturbative method (Feynman diagrams) suggests to us that we are dealing with a network of channels, the first order being heavily traffic[ked] and the traffic on higher order channels being exponentially lighter. Codec - Wikipedia, Born rule - Wikipedia, Hill
energy <==> frequency
line = fixed point
probability <==> entropy
traffic = motion between fixed points
So we find ourselves measuring relatively precise states (lines) and frequencies of these messages (line weights) on the assumption that one message = one instance of one line.
The precision with which we can compute the position of the lines (messages) in the spectrum of a given network (ie the locality inside a certain event horizon defined by the velocity of communication (light)) suggests that the underlying process is deterministic.
Mathematically we represent a deterministic process by a Turing machine. If we make this asspumtion, Turing showed that not all continuous functions are computable, which suggests that the classical assumption that continuous
[page 24]
mathematics is deterministic fails almost always. This fact may be used to understand the unpredictability of measurement outcomes without the need to introduce a mysterious 'collapse of the wave function'. The definite messages we receive when we observe a quantum system are effectively random events, like the emission of symbols from a communication source. Although we know that all messages have some meaning in the context where they are found, the mathematical theory of communication proceeds on the basis that they are meaningless (ie symmetrical with respect to meaning) and we can treat them as random events from a scheme of probabilities.
The network approach to quantum mechanics also explains quantization itself, since the mathematical theory shows us how to obtain error free communication by spacing messages so far apart in communication space that there is a vanishing probability of confusion = error.
So a die lands precisely and computably on one face but unpredictably. Each face is a line in the continuum of dice movement and in an unloaded die the line weights are equal.
The conclusion of this argument is that quantum mechanics describes the Universe it the same level of symmetry or abstraction as communication theory, that is on the assumption that the statistical structures of the sources are ergodic [and stationary] and that the messages are meaningless. A perfectly coded message has a perfectly flat spectrum, maximum entropy, equal lineweights.
[page 25]
Now, using the notion of layering in a network, we can introduce the notion of meaning, which accounts for different line weights, that is the exact structure of the operations that are used to transform from one state to another. Here is encoded meaning, ie the actual messages which make the world (or a hydrogen atom) go.
All the functions that are Turing machine computable can be executed by a nand gate and by a quantum computer. What do we need in a computer capable of executing a path in the path integral method? It simply needs to be able to add and multiply complex amplitudes and maybe at the simplest level, such amplitudes are represented by the digits 1, i, -1, -i.
On modelling the world to NT/Essays On modelling the world
Grandin 9780547443157 Montgomery
Moonbird 978037404683 Hoose
Tuesday 12 March 2013
. . .
The connection between 'collapse' and insight is via the invariance of the process of generating fixed points with respect to complexity, ie with respect to the cardinal index of the layers in a network.
Spontaneous symmetry breaking: why does it happen? decreased energy? Increased entropy? Entropy is the count of fixed points in a dynamic system. An isothermal gas has maximum entropy. The fixed points are the molecules and the conservation of action, energy and momentum. A reversible (Carnot) engine conserves entropy. It extracts energy and entropy from the hot reservoir, turns some of the energy into mechanical energy (entropy zero) and transmits the entropy left to the cold reservoir. Assuming the hot and cold reservoirs themselves contain the same number of molecules, the hot reservoir is losing entropy to the cold reservoir (is communicating with it) but since they are both infinite neither this nor the transfer of energy changes their temperatures. This can also be achieved (as is done in practice) by supplying energy to the hot reservoir (eg boiler) and removing it from the cold reservoir (cooling tower). Spontaneous symmetry breaking - Wikipedia
The simple mathematical formulations of statistical mechanics, thermodynamics, quantum mechanics etc does not immediately reveal to us the physical processes that give rise to the mathematical relationships, which insofar as they are invariant must be maintained by deterministic computation, or a control loop (which itself depends on deterministic observation, computation and execution).
The mathematical connections of statistical mechanics to thermodynamics and communication theory are symmetries represented by algorithms (encodings and decodings) which can be executed by a computer and which we can assume are executed by a computational process.
[page 27]
The connection of two machines in a network introduces phase differences which in quantum mechanics leads to the breaking of probabilistic symmetry as we see in the pattern formed by the two slit experiment which is generated by adding phases and applying the Born rule. So we can explain quantum statistical mechanics by the addition of complex amplitudes which predict the rate of two way communication. If the machines are in phase a message is massed, if not the message is rejected. In more complex machines asynchronous communication is mafe possible by memory, messages to a machine being queued until the machine is ready to accept them.
Sun over the hill at 7.38 am AEDT.
All this is a matter of climbing around noetic space and twisting and turning until I get a meaningful picture of what is going on. All this is a consequence of the divine Universe 'heuristic structure', ie metaphysics built on the assumption that the Universe is intelligible and accounts for its own fixed points (structure) even though it cannot explain how it got here in the first place, Since this is like asking a system with no structure (omnino simplex) to explain itself, it is a question that cannot be meaningfully asked or answered, the basic fact, 'am anfang war die Tat'.
Gravitation is an entropic force? [like the Cantor force?] So we might be able to understand gravitation as a network thing in the same way as we explain the rest of the Universe as a network thing and we might explain the weakness of gravitation by the idea that there is no memory in pure
[page 28]
energy so that all interactions have to be in real time which means that there is only a small chance of a message passing which corresponds to a small force. A gas has memory in the form of its particles, but gravitation dates from a layer beneath massive (bound) particles. So we continue to look for an expression of the symmetry (the 'nothing') that stretches from the initial singularity to the 'omega point'. It is (it seems) consistency, the only constraint on the Universe. Nothing can happen unless it is consistent, ie completely uninhibited (Lonergan: actually unconditioned, virtually unconditioned in theory), ie connected. Entropic force - Wikipedia
How does this construct 3D space: as we have said before it is the minimum space of maximum entropy in that every point can be connected to every other without any crossed wires.
As a sugar daddy I pay for your company / input. You input pleasure into me and I might inject a baby into you. The late life erotic outburst that may get me over the hurdles into the divine world. As inhibitions are removed, excitement grows. So the prophet, who believes he/she sees with perfect clarity is moved to speak and act.
Johnson: Sorrows Johnson
Johnson page 20: 'Bare moments after the Berlin wall went down and even as the Soviet Union was unravelling, Pentagon chief Dick Cheney urged increased military spending.
[page 29]
The transfinite numbers are the domain of recursive function theory.
Johnson page 24: 'The American network of bases s a sign not of military preparedness but of militarism, the inescapable companion of imperialism.'
Wednesday 13 March 2013
Arendt: Totalitarianism page 322: 'Dictatorial terror—distinguished from totalitarian terror insofar as it threatens only authentic opponents but not harmless citizens without political opinions—had been grim enough to suffocate all political life, open or clandestine, even before Lenin's death. . . . if the liquidation of classes made no political sense, it was positively disastrous for the Soviet economy. Arendt
page 323: 'Totalitarian movements are mass organizations of atomized isolated individuals.' organized vs isolated. 'Compared with other paties and movements, their most conspicuous external characteristic is their demand for total unrestricted unconditionsl and unalterable loyalty of the individual member.' Love the Lord thy God above all without love your neighbour.
page 325: 'Totalitarianism is never content to rule by external means, namely through the state and the machinery of violence; thanks to its peculiar ideology and the role assigned to it in this apparatus of coercion, totalitarianism has discovered a means of dominating and terrorizing human beings from within.' Congregation for the Doctrine of the Faith. Congregation for the Doctrine of the Faith - Wikipedia
[page 30]
The n basic theorems of the model:
1. Cantor Cantor
2. Fixed Point: Brouwer Casti
3. Turing Alan Turing
4. Gödel Feferman
5. Shannon Shannon
Quantization - orthogonality
Thursday 14 March 2013
Following Cantor, we increase the number of fixed points in the world by creating ordered sets of fixed points of lower cardinals, like position significant notations. The positions are established by the time course of dynamical processes like writing and reading this text of the dynamic process of a computer.
Arendt reinforces the notion that totalitarian systems are generated by destroying all relationships except those between subject and ruler so that individual people are alone and unsupported before Stalin, Mao or the Catholic God and can be liquidated at will. The alternative, proposed by natural religion and obvious in normal communities is that ewer form network hierarchies of bonding with one another in order to support one another in the divine wilderness where cooperation and communication are the key to survival with sufficient headroom to feel safe and loved.
[page 31]
Sun 7.43.
Johnson page 63: 'Richard Gardner, a former ambassador to Spain and Italy, estimates that by a rate of at least sixteen to one, the United States spends more on preparing for war than trying to prevent it.'
Morris West, Shoes puts his finger on some totally arrogant Catholic opinion: The Pope's diary: ' "I am either unmoved or tremendously troubled by the sight of natural grandeur or even by a spectacular artefact designed by its makers. As soon as man appears, I am comforted again because man is the only significant link between the physical order and the spiritual one. Without man the Universe is a howling wasteland contemplated by an unseen Deity . . . " ' They still have not learned from Galileo. Coronet 1985 page 100. West
Friday 15 March 2013
Quantum mechanics yields all the fixed points at the fundamental level of the Universe. All other fixed points are compounded of these, which play the role of the natural numbers in the generation of the transfinite numbers, and quantum interactions provide the basic computing/messaging power in this network. [Quantum field theory also tells us how the fixed points of a given system move when it is in communication with other systems]
The mechanism by which we think is rooted in quantum mechanics, and we conjecture, has the same structure as quantum mechanics at a different cardinal level.
[page 32]
So where are we now? Quantum mechanics uses an alphabet of computable function which it generates in a Peano-like way by recursion, building routines out of subroutines and then assembling them into superroutines in an endless paleontology of layers.
Saturday 16 March 2013
I can find much of the evidence of both the damage and construction that the Church has done in the world in my own life, particularly the totalitarian doctrine designed to separate me from the world reality and focus myself solely on their invisible God. Poverty, refraining from earning a living as all other creatures do, but instead begging undder the pretext of a higher purpose. Chastity, making all my sensual desires a secret sin, surrounded with shame, only to be repaired in the secrecy of confession to an agent of God. Obedience, to show allegiance to no power but the Pope, vicar of God. Millions of people have seen these delusions in the Church and abandoned it. My own conservative instinct is to turn it around by keeping all of its social benefits under the umbrella of a new vision of God which establishes myself and everybody else as divine sources of action for both personal and common good. The Old Catholic Church is the archetype of the police state inherited and perfected form ancient Rome. The new church is a network connecting us all on the network of humanity that sees no borders [or] sects.
[page 35]
The creation of enemies to focus their population is a standard ploy of ruling elites. The US was able to live off the Soviet Union for nearly fifty years after World War II but then the Soviets dropped out of the game and it took an immense public relations effort to build up the destruction of a few office blocks into an enemy of a similar stature. Since then it has done everything possible to build up the confrontation of the Crusader and the Jihadi (?) [mujihad], sending itself broke in the process, a welcome example of negative feedback (Jackson, Blowback) The Church, of course, has the Devil, who is effectively omnipotent from the human point of view and determined to undermine God's work. A childish scenario, like the war against terrorism, which is in itself terrorism. We can replace all this dangerous rubbish with a clear understanding of how the world works to create pockets of peace in the divine wilderness, beginning with the place of Earth in the Universe. Jihad - Wikipedia, Johnson
For the Theology Company, the 'enemy' and the source of revenue is the mentality embedded in the Church, just as for a cleaning company the enemy and the source of revenue is dirt, however defined. Abstractly all human activites are directed toward new construction and the maintainence of such constructs by error prevention and correction. Abstractly, again, this can be conceived as enlarging the netowrk.
Brown: Da Vinci page 217: 'These documents, they believed, corroborated Godefroi's powerful secret and we so explosive in nature that the Church would stop at nothing to get them.' The invention of writing and the universal power it gave the
[page 34]
literate elite, seduced many into thinking that writings take precedence over reality. Nowhere is this error more powerfully embodied than the Church, and Dan Brown makes a living from the same error. Brown
'powerful secret' is a contradiction insofar as power requires communication, so breaking the secrecy.
Brown page 218: 'The Knights [Templar] discovered something down there in the ruins . . . something that made them wealthy and powerful beyond anyone's wildest imagination.' Oil? Meaningless documents, well marketed. Intellectual property . . . mystical runes . . . the theory of everything . . . words of power . . . all exsmples of human language, a subset of the countable languages of God - channels in the divine network = computable functions.
Innocent II: Templar Bull 'powerful documents' History of the Knights Templar - Wikipedia
Clement V and dissolution of Templars? Clement V - Catholic Encyclopedia
Brown page 221: 'What truth? What could possibly be more powerful>' Quantum mechanics and the creative power of networks? Ye Grail, the much sought answer to everything, ie God.
The marketing department of the theology company has to establish a 'frisson' comparable to the grail. Adding emotional overtones to promote acceptace, a la advertising industry.
[US] Declaration of Independence: United States Congress
[page 35]
All these things we seek in a best seller, love, death, secrecy, surprise, police etc, all thesse features serving to paint a picture of the minds of best seller writers and readers.
LAW - SYMMETRY - FIXED POINT the behaviour of all the peers in a layer is bounded by law, arising either from the layers below, the peers themselves (their communication protocols) or the layers above.
I am caught in the prophetic obsession, to discover and reveal something about God.
? Asymmetric war = premeditated murder, a la Churchill's early days. Battle of Omdurman - Wikipedia
Brown page 313: Sol Invictus. The sun is our local remote source of life. Sol Invictus - Wikipedia
page 314: 'Historians still marvel at the brilliance with which Constantine converted the sun-worshipping pagans to Christianity. By fusing pagan symbols dates and rituals into the growing Christian tradition, he created a sort of hybrid religion that was acceptable to both parties' as the founding fathers have tried to do, creating the religion we call nationalism.
Mithras Mithraic mysteries - Wikipedia
Nicea and the apotheosis of Jesus? First Council of Nicea - Wikipedia
[page 36]
Brown page 326: 'stolen Jesus'.
page 319: grail = person = source.
Energy is conserved, at least algebraically. Entropy grows. Entropy is a count of the fixed points and with each fixed point is associated a potential well. The creation of a fixed point, therefore, increases entropy, but conserves energy because the two elements of the fixed point, the potential and the message, contain opposite amounts of energy. A fixed point is quantum mechanically an occupied state.
page 328: Mary Magdalene; 'the prostitute': truth can be suborned by politics. A consequence of the proposition divine ≠ human.
page 331: 'Gospel of Philip' Gospel of Philip - Wikipedia
page 333: 'The Gospel of Mary Magdalene' Gospel of Mary - Wikipedia
page 350: Disney Mermaid
page 369: 'God judges the worthy' What works, what fails.
On the judgement of God
Brown page 484: 'Kings College theological database.' Research Institute in Systematic Theology. King's College London
How can the gentle ones control the violent?
[page 37]
All actions take time = 1/energy.
