vol VII: Notes
2013
Notes
[Sunday 16 June 2013 - Saturday 22 June 2013]
[Notebook: DB 76 Liberation]
Sunday 16 June 2013
From formal to physical. The transfinite computer network gives us a candidate model of the fixed points in the divine dynamic. Now we turn to physics, action, love, actual operations in the real world. God = pure act = love, ie undifferentiated attraction a la gravitation. We see the uncertainty arising from the lack of definition at every scale, from quantum mechanics to our own relationships with one another. Do I love xx love me, a complex question which lies at the foundation of a large proportion of creative literature, and is manifest in all our lives during our periods of mate selection.
Leaving the precise an unimpeachable world of Platonic mathematics, we enter the uncertainty of the physical world. This uncertainty is predicted by the mathematical theories of Gödel, Turing and Shannon, which limit the completeness,
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computability and communicability of formal systems.
It is almost impossible to imagine anything that executes algorithms more inefficiently than a Turing machine. What it lacks in efficiency , however, it makes up in simplicity and certainty, so we have confidence in Turing's result and expect to see it implemented in physics.
Waugh, Brideshead, Wiki; Douglas Lane Patey ' "the book that seemed to confirm his new sense of a writerly vocation.'' ' Perhaps I am getting one of these now I have a clear answer to Catholic Theology.
Waugh: WWII 'a sweaty tug of war between teams of indistinguishable louts.' ie bosons. Evelyn Waugh - Wikipedia
Orwell, Waugh, Wiki: 'Orwell, an admirer of Waugh's writing concluded that Waugh was "almost as good a novelist as it is possible to be . . . while holding untenable opinions." '
'Nancy Mitford said of him in at television interview "What nobody remembers about Evelyn is that everything with him was jokes. Everything. That's what none of the people who write about him seem to have taken into account at all".' Wiki ref 244, A man disconnected from the world = one acting without credible (= verifiable) guidance.
Monday 17 June 2013
[page 17]
God is love — actus purus
God is Word — transfinite computer network.
Uncertainty is built into the formal network by the principle of requisite variety (Ashby, Chaitin) coming up against the Cantor expansion. In a nutshell, the letters cannot control the words because the entropy of the words is greater than the entropy of the [letters], ie entropy per letter H(a) and the average length of words x gives entropy per word xH(a) > H(A) iff x > 1 Ashby, Chaitin
The rate of communication is measured in orthogonal [distinct] states per second. If a state corresponds to a quantum of action then we have E = hf, where f is measured in states per second. The actual size of the value E it tied exactly to the frequency f regardless of the actual units used to fix the value of h (M, L, T). Mass = rate f action by E = mc2 = hf, which we take to be the definition of space-time.
At this time of the morning in my monkish days [51-46 years ago] I was kneeling stiffly upright on a hard plank for half an hour in the dawn cold (violins) trying to 'meditate', whatever that happened to mean. The predominant view seemed to be to empty the mind of all detail to be receptive to the unity of God. Not easy for an active mind aware of some pain and now, I think, another consequence of the false conception that an omnino simplex living God does not have fixed points. This problem seems to be common to all the religions that hold that we contact God through our minds (the elite view) rather than through our actions (the slaves view). Now I feel that I am much closer to God at five o;clock in the morning sitting in from of the fire and nursing a hot water bottle, drinking coffee and following the ramifications of my dream.
[page 18]
Catch up on the backlog of the notes and then begin to publish them in real time as a 'blog', the moving edge of a 'deposit of faith', ie the set of resolved issues surrounded by the finge of unresolved questions.
UNCERTAINTY = SYMMETRY
The uncertainty principle = the symmetry principle. So we are led to interpret the quantum uncertainty principle as indicating the symmetry of possible observable states, each given a probability, 50:50 in a two state system and any rational value in systems with a countable infinity of states (any 'rational' value means any computable value, like π not necessarily rational).
The trick is always to go far out (to envisage improbable possibilities) and then find new ways home. The journey to far far away is not in principle computable, but the journey home is, so the explorers bring back their journals and their maps of where they have been based on some fixed feature of reality like the rotation of the earth and the positions of the stars.
Symmetry and symmetry breaking. We understand the linkage between formal mathematics and the observed data through the notions of symmetry and symmetry breaking. In practical terms a symmetry is an invisible difference like the sixfold symmetry of a snowflake or the 'continuous' symmetry of a circle. We interpret symmetry in terms of probability, or measure is [as] such. So a system of two symmetrical states is expected to be found in one of them with probability half, like a fair coin.
Symmetry a process in motion. Broken symmetry
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observation. Given that quantum systems step through their states in an ordered way (captured [at the cardinal level of resolution] by the overlap integral). the changing probability of any pairwise 'overlap' of states is due to the dynamics of the underlying system, most simply seen in two state systems. Feynman (?) once we understand the two state system we understand them all (with the necessary mathematical adjustments).
Our modern attempt to understand and manipulate the quantum world takes place at the interface between formalism and physics being investigated by workers in the area of quantum information (ie all information) and quantum computation (communication) (ie all communication and computation).
A computation is a set of acts of communication between nodes in a network. In an ordinary computer these nodes are the physical two state memory elements. On this picture, all deterministic computation is digital since all verifiable communication requires orthogonal symbols. So Shannon's theory gives us limits on the rate of computation possible given a certain physical process. So we say that the Universe, insofar as it is deterministic, is digital. What is deterministic is the eigenfunctions and eigenvalues of particular systems, What is indeterministic is the actual message to be observed at each independent trial, so that a sequence of quantum measurements has the same general statistical structure as a communication source. [And like a communication, although the sequence of symbols may be indistinguishable from random, those encoding and decoding the message depend upon the precise order of these symbols to convey their meaning through the process of encoding and decoding - gauge invariance?]
Here enters quantum mechanics, because in addition to classical statistics we have Fermi-Dirac and Bose-Einstein constraints on the classical brought about by the indistinguishability [unresolvedness] of particles. Maxwell-Boltzmann statistics - Wikipedia, Fermi-Dirac statistics - Wikipedia, Bose-Einstein statistics - Wikipedia
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A good morning, inching a little closer to the finished product (effectiveness).
The Church is haven to a fundamental evil, the deprecation of physical reality vis a vis the fantasy world of God and his angels and devils that they have created for themselves. (see page 12).
More coffee.
What were they thinking? What picture of reality made it possible for them to sexually molest children and then (worse) try to cover it up [and hide the victims]? The pride of infallibility? The sinfulness of the world? The deprecation of the physcal, all these and more : from an error everything flows.
I was not physically molested (except by caning): what was molested was my mind, so that I was driven by thoughts detailed on page 12 above.
A Victim of the Catholic Church: Statement. In other words a catalogue of the errors I perceive in the Church and a path to their correction. My complaint is motivated by what I believe to be a fundamental error in Catholic dogma, an error which must be corrected before the Church can be transformed into an institution acceptable in modern society.
I treasure my 'victimhood' now because it set me on the path to my present understanding of God and the World which I believe to be scientifically and socially acceptable, at least at the level of the discussion of possibilities for the future of theology and religion.
[page 21]
Why nations fail? elite ripoffs. a) take the money b) deny life to their subjects. Acemoglu & Robinson
There is a fundamental design fault in the Catholic system based on the notion that some people have a right to rule others that is said to derive from an invisible God.
In a nutshell, the Catholic Church worships a false God. Their God is a fiction invented in ancient Greece and Israel and propagated through the Christian churches ever since. This God is completely alien to our world and has communicated to us once for all time through the Bible, which the Church claims as the foundation of its beliefs and policies. The alternative hypothesis is to assume that the world itself is divine so that all our experience is experience of God. No need for Bible and Church, just see God in the way things are and learn to live with and perhaps improve our lot. Christianity is meliorist, so it should welcome a major meliorization
The ideal employees of the Church take vows of poverty, chastity and obedience which means that the Church is practically blind to wealth, sexuality and human freedom.
Fermions generate space and vice versa. Fermion - Wikipedia, Space - Wikipedia
The Universe is inside the initial singularity in reality, but formally there are an infinity of instances of the initial singularity operative in space-time.
The divine right of wisdom, embodied in the sovereign, at the extreme an 'infallible' sovereign.
The theological limit : we can trace our existence to the
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initial singularity, but not beyond.
Nucleation in a super-something environment can lead to a phase change, eg freezing. [paradigm change?]
Where we see determinism (computability) we must suspect the presence / existence of computers, however implemented.
From a set theoretical point of view the cardinal of the continuum could just as well be 1 as ℵn where n itself may be an ℵ.
What if none of this is true? What if I should ignore my own thoughts and assent to the dogmas of the Church? Does not seem possible., or productive : my future is to be made by introducing a 'disruptive' product, and it cannot be worse than the product it replaces and it does not demand assent under pain ogf eternal punishment as the competition does.
Theology is ten tweets #titt:
1. The Universe is divine
2. All experience is experience of God
3. Theology can therefore become an evidence based science
4. Let us identify the classical God modelled by Aquinas with
5. The observable Universe evolves inside God, not outside it.
6. We only know the fixed points of the Universe. The dynamics connecting the fixed points is invisible to us, hidden by the uncertainty principle.
7. God is pure action, that is purely dynamic. Mathematics tells uis that dynamic systems have fixed points.
8. There
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is no contradiction between motion and stillness (time and eternity). So God can be both totally simple [dynamically] and as complex as the system of fixed points which we observe [statically] [observation: synchronizing memory and reality]
9. God is creative, the future is uncertain but there are ways to play our cards to maximize health and safety. These ways are the subject of theology, which embraces all the sciences since it is the classical theory of everything.
10. Believe the God you see and feel ; do not be deceived by inferior products peddles by interested parties.
To be considerably refined.
I have long had a problem with the Roman Catholic Church, more intellectual than emotional (at least that's what I think) but the cover-up of clerical abuse of children has convinced me that the Catholic Church as we know it can only be redeemed by radical reform. It must enter the 21st century in governance, research integrity and quality control and testing of its message. At root it needs a new vision of God and a new epistemology, basing its faith not on ancient texts created within the Church, but by its collective experience of the divine Universe in which it finds itself.
Weizman Institute Faculty
On the reconstruction of The Catholic Church inbto a catholic church, ie maximally broad, embracing all consistent forms of human life, ie consistent with humanity and the health of the planet and all its inhabitants besie ourselves.
[page 24]
Ten Papal Lectures - rewrites of the theory of peace.
We work by excitement and inhibition, that is variation and selection. The election must have sufficient variety to select a fixed point in the motion.
Tuesday 18 June 2013
At the basic level of resolution my dynamic internal states and the fixed points they generate like this sentence (a self observation) are isomorphic to the fixed points generated by atoms, and those generated by the basic universal system, the fundamental particles. Weinberg page 1: '. . . it is historically correct that quantum field theory grew in part out of a study of relativistic wave equations, including the Maxwell, Klein Gordon and Dirac equations. For this reason it is natural that courses and treatises on quantum field theory introduce these wave equations early and give them great weight. Nevertheless it has long seemed to me that a much better starting point is Wigner's definition of particles as representations of the inhomogeneous Lorentz group . . . ie particle = matrix (formally) diagonal? Weinberg, Maxwell's equations - Wikipedia, Klein-Gordon equation - Wikipedia, Dirac equation - Wikipedia, Eugene Wigner
How doe this fit in with particle is output of computation,
[page 25]
a message on the network. A particle is a variable with a number of states (values) eg frequency and polarization of photon. Polarization superposition of two orthogonal states (a dynamic entity). [a superposition is an unresolved succession of states]
Particle - field = fixed point - dynamics
Weinberg page 2: 'The reason that our field theories work so well is not that they are fundamental truths, but that any relativistic quantum theory will look like a field theory, when applied to particles at sufficiently low energy.' Why does particle behaviour scale with energy, the rate of action (and so also the phase or timing). M = T-1.
page 3: 'The possibility that material particles can like photons be described in terms of waves was first suggested in 1923 by Louis de Broglie.' Properties of particles defined by phase invariance under Lorentz transformation ie (?) preservation of the order of computational operations.
Phase invariant: relative timing is Lorentz invariant, ie the same in all inertial frames. We learn this by transforming our observations on moving systems to their rest frames, using the fixed velocity of light as our starting point.
Velocity - in time = phase change per unit time
- in space = phase change per unit distance.
Phase is everything (2π phase = 1.h) in quantum mechanics and so quantum mechanics is concerned only with timing. With the emergence of space, timing becomes affected by distance.
[page 26]
Weinberg page 5: What does 'electron has intrinsic angular momentum ℏ/2 mean?
page 7: Dirac ' "Why do the fundamental constituents of matter have spin ℏ/2".'
page 9: Dirac and all who follow apply the Lorentz transformation to the wave function rather than to the observable resulting from a 'measurement induced' collapse of the wave function. Veltmann page Veltman
One can be carried along byt an idea.
page 15: 'This field behaves like the sum of independent harmonic oscillators with angular frequencies ωκ, as had been anticipated 29 years earlier by Paul Ehrenfest.' Phys. Z. 7, 528 (1906)
All traditional religious roles are open to one who would move in a new direction. My role as a prophet is to turn people away from the false God of Christianity toward the true God of the Universe in which we live and move and have our being. [a gradual buildup to action]
Wednesday 19 June 2013
The reconstructed victim statement.
From my point of view Roman Catholic Theology is an hypothesis that has been amply falsified. I cannot believe that a 'sin' by early humans led to the derangement of the whole human condition. I cannot believe that women are inferior to men, and so cannot be priests, not that there is any prohibition against women priests in the principal documents of Xianity. I cannot believe that sex that us not open to reproduction
is a sin, etc. All this is based on the fundamental hypothesis that God is not the Universe and the Church is our only public channel of communication with God. I propose the alAnthony Loewensteinternative. It took me about forty years to come to this position, and I believe that it yields considerable intellectual and practical benefit. Paul VI: Franjo Cardinal Seper: Inter Insigniores On the question of admission of women to the ministerial priesthood
Sydney Morning Herald Stephanie Peating Uneasiness about a woman in power unleashes a sexist maelstrom. PM is a priestly role and women cannot be priests. Priest: one who lays down the law for the rest of us and hears our confessions [and dictates our punishments] [PM] Gillard is facing a maelstrom of sexism and sexual abuse that is built on the Catholic position, as stated by recent Popes. Stephanie Peating
One aspect of going public is the need to present evidence.
Loewenstein: Where is the outrage over Prism in Australia? Perhaps we have never trusted the phones or anything connected with them [the place did start as a sort of very remote Guantanmo Bay, after all. Anthony Loewenstein
IACSInstitute for Advanced Catholic Studies IACS IACS
. . .
A communication channel has effectively zero physical length, only some delay which we can attribute to encoding and decoding to achieve error protection: the longer we measure the more precise the measurement ΔE.Δτ ≈ ℏ.
The world has a self correcting feature in that pain causes the search for relief, and we can consider a considerable fraction [of human activity] under the heading of pain minimization. The rest becomes pleasure maximization. I think the false doctrines of the Church caused me the pain that has driven
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me to see that the Church is a castle in the air, in denial of evident reality, like the equality of women and the need to control our reproduction and consumption.Thursday 20 June 2013
Sampi, Laughland, Guardian. Oliver Laughland
Having established the unity of God and the Universe, the next step os to feel it. Does it help me in my daily round to think that the minutiae of plumbing are as much interaction with God as things like 'Holy Mass' used to be for me in the old days.
Ryan Commonweal Divided by Disputes Patrick J Ryan
Graduate Theological Union GTU
A function represents a process which yields a value for each point in its domain.
Redirecting the Church is a hopeless but necessary task, as I see it, and exciting and worthwhile to see how so many people can be so wrong for so long.
Friday 21 June 2013
Mathematics is empirical (and so scientific) insofar as its arguments appear on paper as the maipulation of physicsl (written) symbols which have been given meaning of function by axioms and rules of inference. What are the rules of inference in the physical world?
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one rule is that inferences (events) occur at zero space-time distance, that is by contact, and the outcome of a contact is determined by the relative phase of the particles [amplitudes?] in contact.
Feeling at once strong and feeble — strong because my new theology seems wonderful; feeble because I have little hope of it making an impact in the short term.
So what is holding back the completion of unreasonable effectiveness? The core of the document revolves around the symmetry with respect to complexity of set theory, so that a symbol x may correspond to anything from an atom to the galaxy and all that lies in it, eg us and our local galaxy. From this we deduce that the emission of a photon and one learned mathematical treatise are set theoretically isomorphic implementations of fixed point theory. So it becomes mathematically feasible to manipulate transfinite sets.
Just done my first biggish plumbing job with no leakage on first pressure test.
This general conclusion can be worked out in the transfinite computer network.
. . .
Coding: computable and invertible which means constant entropy [depending on compressibility].
[page 30]
Although I do not understand the underlying mathematics I can take authorities like Wigner and Weinberg at their word (on faith, widely attested).
Faith, based on our experience, physical and cultural (ie what we are told (downloaded with)) as we grow into our community.
My strength is in my faith, my feebleness in the face of the difficulty of making a living from this faith, By continuing to develop the produce I increase the probability of winning acceptance, which may account for the long delay in writing 'unreasonable', which is in effect my doctoral thesis, my key to entry into academia (nobody ever told me this) and it has taken a long time to cotton on: one enters the halls of academia only after being 'doctored' by those already inside, but not, fortunately, in all cases. So unreasonable must appear perfectly reasonable.
I practice physical reasonableness, measuring, cutting, nailing, screwing, soldering, gluing etc to make structures (Turing Machines) that perform a certain function, ie hot water in shower, excreta removal in toilet. Quality control, a feature very clearly lacking in the Catholic managment of child abusers.
I am here to preach theological and religious quality control. As a child (see page 12) . . .
Mathematics can explain its own existence and limitations. It exists in a dynamic Universe
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though fixed points in a dynamical system. It is limited by theorems like Gödel, Turing, Shannon, and it explains the increase in entropy through Cantor's theorem.
Everything begins as a point and if it lives, complexifies. Let us hope that this article os a point in the explanation of the existence and utility of mathematica in an inherently dynamic Universe, as he ancients would say actus purus. the living God studied by theology. Theology is the once and future theory of everything.
How does the world implement mathematics? In the same way that mathematics imlements itelf, by devising anddefining and usin physically embodied symbols. In the case of mathematics the familiar alphabet of +, -, x, ÷ . . . , in the case of physics partiles that maintain their identity as they move in space-time, ie are symmetrical with respect to space-time, ie actions, events.
Gravitation is the study of the flow of meaningless symbols. In a more complex computer, symbols are mapped to one another [bonding, binding], that is given meaning but we imagine a basic hardware level where we know nothing about a symbol except that it is accompanied by a quantum of action.
This idea is explored by the idea of general covariance used in the theory of gravitation. Insofar as any symbol may be mapped to any other, the symbols are effectvely all alike and we may call this a continuous symmetry ie one that holds to the limits of resolution of the system of interest. Gravitation sees only energy, that is the rate of action, so the existence of gravitation depends on something
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akin to time, and in an inertial frame proper time. We can understand energy to be the rate of messages in each leg of a network, each message bing accompanied by a quantum of action but whose content we (and gravitation) ignore.
Mathematics is the set of computable functions, ie the eigenfunctions of a possible Universe.
Time can be minimally represented by a two state system. Here the ancients have already provided a theory in the study of the Trinity, particularly the procession of the word. Quantum mechanics allows a system to move from one state to two by interacting with itself. See the two slit experiment, where the self-interaction is modulated by physical distance.
The implicit two state system in the Universe is represented by the complex numbers, ie vectors which are a mix of 'real' and 'imaginary' [components]. We can rotate the real into the imaginary and back again so the 'clock' is continuous and closed. Two such clocks coupled will 'beat'.
There is, by definition, nothing to be said about a one state system, though many have tried.
Insofar as I am happy within myself I am becoming a prophet for money [profit]. If I had the money, would I stilly prophesy? Yes, to get more money, and I would enjoy a little bit of public success, to the extent of being considered a reasonable theological voice. Perhaps above all becasue it is my faith that overall reasonable behaviour is the key to fitness and survival on a planet that is essentially wild despite our efforts
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to tame it. The best we can hope for is local peace (?).
These lines are written on impulse and not intended to make a connected narrative. Each impulse is fixed enough to be written down, so this sentence applies to itself and all the other sentences in this log.
Energy is a count of action, identical 2π cycles of phase per time.
The observable network reveals itself as particles, invariants of motion in space-time. Every [fundamental, internally structureless?] particle has a 'beginning' the event that emits it, and an end, the event that it next encounters. We ourselves are changed by every encounter with ourselves and others, either directly or through recorded message (particle) — always recorded messages, sound waves in air, potentials in neurons, etc.
I may conceive of all this documentation as revelation of me to myself as I recover from an upbringing that his myself from myself.
The Church is above all a political entity, using political power to suppress dissent, as we have seen in may celebrated cases and many more that make no headlines. Two pronged approach: point out defects in the Church and the remedies I propose: a new vision of God. A new theology is a new vision of God.
Our mathematical model of the emergence of fixed points in a dynamic Universe is quantum mechanics. We represent an isolated quantum system by the equation dΨ/dt = HΨ, where Ψ is a state vectors of any dimension and H is the energy operator represented by a square matrix of the same dimension as Ψ.
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We learn something about two isolated systems by bringing them together in a measurement or observation. This process is quite general. applying to all events in the Universe even when a physicist is not present. The probable outcome of an event is defined by the eigenvalue equation and the Born rule. Then as usual, Zurek: orthogonality, Shannon. We are making a well work track through the cosmic jungle. Eigenvalues and eigenvectors - Wikipedia, Born rule - Wikipedia, Wojciech Hubert Zurek, Claude E Shannon
We love people for their desires, even Napoleons.
Sarah Boseley Guardian One in Three women suffers violence global study finds. Sarah Boseley
Saturday 22 June 2013
Unreasonable: Abstract: We regard mathematics as a set of fixed points in the dynamics of the mathematical community which is a subset of the dynamics of the Universe. We guess that the theorems requiring fixed points in a dynamical system are indifferent to the complexity of the system, and we we postulate an isomorphism between the dynamics of the mathematical community and the dynamics of the world. We propose that this isomorphism explains the 'unreasonable effectiveness'' of mathematics in the physical sciences. Under our theological hypothesis, we can regard insights like those expressed in this abstract as revelations of God.
Gauge symmetry is a characteristic of a communication channel which if it is to be faithful must be completely indifferent [symmetrical with respect to] the actual sequences of symbols transmitted through it (fit this is somewhere).
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The digital approach to quantum uncertainty provides a way out of the difficulties associated with the self interaction of 'point' particles like the electron and positron. The difficulty arises because the formal integration of the potential of such a particle goes to infinity as we become infinitesimally close to the particle. In the digital model, the measurable distances are parametrized by units of one quantum of action. If this distance goes to zero, we imagine no self interaction (rather like the [stationary] orbitals in an atom) and at the next possible distance (1) we have a finite distance whose inverse in not infinite.A new theory does not, in the first instance, change reality, except the minds who conceive it and understand it., but it does change our appreciation of the possibilities as Newton's laws opend the way for space travel and Bernoulli's law for heavier than air flight. So may a new theology change our conception of the possibilities of human existence. ANT Intro.