vol VII: Notes
2012
Notes
[Sunday 16 December 2012 - Saturday 22 December 2012]
[Notebook: DB 74 CREATION]
[page 35]
Sunday 16 December 2012
Algorithmic information theory vs quantum information theory - the invisibility theorem Algorithmic information theory - Wikipedia[page 36]
Moses of the Hebrews Exodus 2:1.
Moses mission from God Ex 3:7 to liberate his people from the prison of history.
LIBERATION = COMPLEXIFICATION
Exodus 3:14 'I am who I am.'
Kamenka Portable Marx Kamenka
Kamenka page xi: 'Few would now seriously contest the proposition that [Marx] was the greatest thinker in the history of socialism. . . . he created a socialist system of thought, a total socialist critique of modern society.
Marx 1818-1883 Karl Marx - Wikipedia
Kamenka page xvii The Holy Family, or Critique of Critical Critique, 1845 Karl Marx
The organizers provide the network of communication in the corporate body, converting the 'mass' into a fully articulated system,, ie with a complete set of degrees of freedom = {not, and}.
Public service / bureaucracy - fixed points, algorithms of government service.
Monday 17 December 2012
[page 37]
Gaining credit by martyrdom is but the extreme limit of trying to impress people by dangerous and extreme behaviour.
Claims and consequences: the Universe is intelligent, at least intelligent enough to create creatures as intelligent as ourselves without outside help. Our definition of the Universe precludes outside help because there is no outside to help. We are immensely complex beings and there is a vast amount of processing happening within us, 100 watts of quanta of action, which is equivalent to x actions per second.
The second thing is that although we are exceedingly complex the fundamental computation processes that move us can all be understood in terms of a network of nand gates driven by a formal program stored in memory. So intelligence, whatever it is, is very simple and easy to understand, and the best way to understand it is in its simplest form the two state system. An act of intelligence is the encoding or decoding of a message. We can encode and decode our native language on the fly as fast as we can talk. Other encodings and decodings are slower. It takes while to dream up a cryptic crossword clue and a while, perhaps a long while, to solve it. The output of an act of intelligence is a signal, a physically encoded message that exhibits our understanding the message received, usually a coherent reply.
Our definition of intelligence is [the power of] finding the fixed point in a dynamic system. Atoms can do this, each of their electrons occupying a state of fixed energy giving sharp spectral lines when the atom makes a transition from one energy state to another.
[page 38]
We use Cantor symmetry to couple collapse of the wave function to the act of insight.
Although mathematics deals with numbers and and measures, and most users of mathematics like physicists, engineers and accountant are very concerned with actual sixes like the charge of an electron, the strength of a beam or the price of an item, there are many features of mathematics where size does not matter.
Task of intelligence is the creation and annihilation of forms, ie breaking symmetry, 'taking a position, a state' [encoding and decoding messages].
Christianity has taken possession of God and hidden it. We want to get god back into general public ownership. God is the fundamental common, divinity the property of being God.
Quantization and logical continuity at the simplest level includes quantization and logical continuity at all levels.
Why can't we see the isolated quantum system? Because our seeing is a physical phenomenon, so if we see something, it is no longer isolated. This is generally expressed by the idea that observation disturbs a quantum system (so, eg, that the superposition is no longer coherent in the two slit experiment). It would be better to say that each observation id s cycle in a conversation where the outputs of each source are related to [its] inputs and the net effect of a conversation is to bind two sources together, as in a cocktail party, or in the longer term a friendship or a marriage.
[Order of naturaltheology.net] Theology, love, politics, civilization, religion, economy . . .
Marx: Kamenka page 201: '. . . Secret Diplomatic History of the Eighteenth Century, a work that the Communists have understndably excluded from the canon.'
Tuesday 18 December 2012
Wednesday 19 December 2012
Sommerhalder & van Westrehen The Theory of Computability Sommerhalder & van Westrehen
S&W page 21: 'The twin facts that every object is assembled from a finite number of elementary components and that there are only finitely many mutually different such components imply that the objects used in computing can always be represented by finite strings over a finite alphabet, and computing can be identified with manipulating such strings of symbols. The choice of a particular alphabet of symbols is immaterial and can be made to fit the occasion.'
General covariance. General covariance - Wikipedia
Thursday 20 December 2012
A fundamental 2-state system 'matter' / 'anti-matter'.
Brown Angels and Demons page 135: 'Trinacria', Novus ordo seclorum. 'New Deal'. Brown, Great Seal of the United States - Wikipedia, Eye of Providence - Wikipedia
Sommerhalter page 34: Complexity theory: 'Study of the time and space requirements of computation.'
[page 40]
Sommerhalter page 35: '. . . in complexity theory it us important to choose a domain which charges the cost of computation in accordance with current practice. Consequently the domain is a domain of strings, in which numbers are represented in the binary, decimal or any other convenient radix system, so that for instance, doubling requires log x steps rather than x steps and the space required to store x is also log x instead of x.
Brown page 197: 'What's the angle'. Phase Phase (waves) - Wikipedia
Something of a new baby feeling just looking at the new model of god and seeing it as constrained by pure act, ie pure dynamics, and the fixed point theorem operating in the transfinite (consistent) space of dynamics. As many have notes, sex and particularly loving sex is the nearest thing to heavenly bliss, but it is proscribed by the Church as a lesser pleasure, something to do with flesh, sensuality and sin,. Fortunately these historical bonds of historical ownership of one person by another are on the way out, destroyed by the invention of human rights, ie maximizing social entropy.
So the fundamental belief f natural religion is that the world is infintely creative and it is not dangerous if we behave ourselves properly, that is respect the foundations of our being.
On rebuilding Christianity. Permanent revolution, we need another Jesus who is not any particular person but a movement, a phase change caused by
[page 41]
a change in the 'temperature' and 'pressure' of human existence.
Brown Symbology: any set of symbols will do as long as they re effectively orthogonal and we can give them any meaning we like but the continuity of human culture means that they are 'sticky' taking a long time to change.
Brown page 302: 'The room had more Illuminati significance than any room Langdon could have fabricated in his mind.'
Friday 21 December 2012
So the sensational approach is to put my story in a thousand words and send it somewhere (a Christmas message!)
We say that the pen is mightier than the sword. Mightier still are the ideas that drive the pen. At Christmas we celebrate an 'Immaculate Conception', a 'Virgin Birth', the arrival of God on Earth in the person of Jesus of Nazareth to save us from an ancient evil. To modern ears this story is quite incredible but it has been sanctioned by thousands of years of tradition that has been passed on from the ancient preliterate past of humanity. Taking advantage of the vast repository of myth assembled by the Roman Empire, the authors of Christianity created a story which has dominated human consciousness for many centuries, only to begin losing its grip in the face of science.
[page 42]
All the miracles of ancient Christianity are the products of the minds and pens of the Fathers of the Church, and there is no other shred of evidence for them. We are required to take them on faith. We teach our young children to believe in Father Christmas. Many of us older ones believe in Christ the saviour, but both beliefs are equally false. Christianity is a construct of the pen, in scientific terms, an hypothesis for which there is no evidence, except perhaps one shred, the so called proofs for the existence of God.Brown 607: 'Our minds sometimes see what our hearts wish were true.'
Saturday 22 December 2012
Having established (to m,y own satisfaction) that the Universe is divine, the next step is to apply this conclusion to practical problems, the first of which is the unification of theology which arises from the proposition that the Universe = God is one and that the scientific method leads us along a path that is asymptotic to the truth.
Another practical problem is to determine 'the will of God' since in religious terms we win our rewards by following God's will. The first clue here is perhaps the dictum 'entropy always increases' from which e can derive the idea that all people are 'equiprobable' ion human space which leads directly to the idea of human equality and human rights.
[page 43]
Next job, however, is to finish 'Unreasonable effectiveness . . .'
What is the sticking point? We want to interpret quantum mechanics as a digital computation, the work of Turing machines. So first we have the 'reduction' of the wave function. Let us assume that this corresponds to the halting of the computation of the eigenfunction whose eigenvalue is the information content of the computation. Then we have the quantum theory of measurement which tells us that the only eigenvalues we will observe will correspond to the eigenfunctions of the measurement operator, which sees the observed state through its own basis of orthogonal eigenfunctions. So we can interpret a quantum interaction or measurement as an act of communication which can be studied using the mathematical theory of communication.
The eigenfunctions are fixed points of the measurement operator, as the eigenvalue equation tells us. All the information in quantum mechanics is carried by phase, which is represented by an amplitude or an algebraic sum of amplitudes. In quantum mechanics we believe that nature describes its processes by state vectors. The dot product of two state vectors represents the angle or phase between them and tells us the probability of measuring one and finding the other. The full act of quantum mechanics is the duplex message, question and answer represented by ψψ* which product gives the probability that a message will be encoded by the sender, decoded by the receiver and an answer sent back to the sender, one cycle of as conversation.
Quantum mechanics as we know it is written in what are believed to be determinate continuous complex functions, and the Born interpretation P = |ψ|2. We do not believe that continuous functions can be deterministic as his implies unlimited resolution in a system limited to Planck's constant. in other words quantum mechanics assumes that h = 0 and proceeds to differentiate and integrate functions with no respect for Planck's constant. Amplitudes are not quantized. The quantization only comes when we solve for the fixed points. Is this the correct approach? Perhaps we can take the quantization deeper and assume that the evolution of amplitudes is itself quantized, managed by a digital computer.
The first question that springs to mind is why don't we see this computer? The second is are quantum theoretical amplitudes computable? The third is the relationship between space-time and computation. Time is clear, and we make the simple assumption that 3D space is the minimum necessary for all points to communicate without crossed wires. Although this might be too simple to be true, remember that the Universe began as a structureless singularity and presumably evolved to its present complexity step by step, so that we can expect it to be pretty simple in the early days.
In fact quantum mechanics itself makes no reference to space, only to the phase relationship of periodic functions of different frequencies. The isolated quantum system has a continuous spectrum of frequencies which is broken into a line spectrum by communication (measurement) reduction of the wave function from continuous to discrete, pointing to processes whose time frequency is a function of energy.
Now although the initial singularity was not proposed by Hawking and Ellis until 1974, the study of a structureless
[page 45]
entity is many thousands of years old in what we might call the mystical tradition, the search for fullness in emptiness. Hawking & Ellis
Speech and writing represent the world as one dimensional strings, time ordered. Since computation is the manipulation of strings, I can imagine the computations in my central neural network encoding my ideas in this string of symbols which you will read and interpret in your own way.
Talking to the reader. Communication, meta-communication, meta-meta- etc.
Given all this, how do we get from the collapse of the wave function to human insight? They are both outputs of processes of vastly different complexity, but some symmetries with respect to complexity (structures which remain the same at all levels of complexity) a recursive (periodic) function (algorithm) which stays the same at all levels of complexity, the tree of processes.
The purpose of quantum mechanics is to determine the stationary points of the Universe and the frequency of communication between them, without understanding anything about the messages being transferred except by defining a certain statistical structure of the sequences emitted by sources.
Freedom from error means orthogonal basis states, ie an alphabet of letters so far apart in symbol space that the chance of confusion is negligible, ie almost perfect recognition of symbols.
Bell, page 26: '. . . the usual interpretative axioms of
[page 46]
quantum mechanics come into play only when the system interacts with something else, is 'observed'. For the Universe there is nothing else and quantum mechanics in its traditional form simply has nothing to say . . ..'These considerations, in our opinion, lead inescapably to the conclusion that quantum mechanics is, at best, incomplete. We look forward to a new theory which can refer meaningfully to events in the given system without requiring 'observation' by another system.' Bell
Here we have the fundamental tautology of quantum mechanics, we can only learn by observation and we can only talk about what we have learnt.
They rule the world who have control of God, stolen from the people.
Bell page 31: "We will find, in fact, that no local, deterministic hidden variable theory can reproduce all the experimental predictions of quantum mechanics'. So we just accept quantum mechanics as it is changing only the computational process by which it gets its results from analogue to digital.
Edging along a tightrope.
