vol VII: Notes
2012
Notes
[Sunday 23 December 2012 - Saturday 29 December 2012]
[Notebook: DB 74 CREATION]
[page 46]
Sunday 23 December 2012
Quantum mechanics describes interpersonal relationships, by which we mean entities capable of receiving and transmitting information and changing their internal states accordingly [inelastic].[page 47]
What we need is a benefactor to fund a non-denominational scientific faculty in a good bit university, one founded on the hypothesis that the Universe is (per se) divine.
Origins
Invisibility theorem holds at all scales, so all the workings of the internet are invisible to me, the user, and no layers can routinely see what is beneath it.
Where am I stuck now? Begin with the natural numbers, the quantized layer of the transfinite network. The next layer which Cantor thought might have the cardinal of the continuum is also quantized in the sense that each permutation is distinct from all the others (or at least they come in indistinguishable pairs L —> R, R —> L). So we can see each layer as the transition from countable to uncountable insofar as the elements of layer n are countable relative to the elements of layer n + 1.
We maintain countability through the layers of the network by packaging and meaning [sets and isomorphisms]. I am a package with a transfinite interior and a finite exterior and I can be indexed and processed by a computer (eg centrelink) just as a signal in a computer can be (which may already comprise thousands of electrons). Australian Government: Department of Human Services
Insofar as I am a personality I behave quantum mechanically by talking and listening. Football is the same where the means of communication is collision.
[page 48]
All [coupled] states have different angular momentum in terms of h (?).
Phase arises from the completion of a cycle of computation which (in the simplest system) is equivalent to one quantum of action so the duration of a 2π phase change is the inverse of the energy of the process. We understand 'interference' in terms of the phasing of possibly independent processes. If they finish simultaneously, they add, of π out of phase, they subtract. This does not make much sense from a computational point of view, possibly because we are thinking of complex microscopic computations whereas a quantum computation moves from a fixed point (input) to a fixed point (output) with one quantum of action, or in the macroscopic world, n quanta of action. We have to bring complex amplitudes in here somewhere, We use complex numbers because a( they are periodic, b) all self adjoint complex operators have eigenfunctions c) because communications are duplex [and do not complete unless there is a certain phase relationship between both directions of communication?].
Monday 24 December 2012
Out on a limb. But here is the answer. We have interpreted quantum mechanics as a methodology for determining fixed points in the Universe using the eigenvalue equation in Hilbert spaces of finite dimension beginning with say 0D, then 1D and 2D where the interest lies. We now interpret Hilbert spaces as transfinite computer networks, and imagine them increasing in complexity like the Cantor Universe. At some level of complexity this structure represents a human individual and at a higher level a human community, like the mathematics community. In this domain we can imagine[page 49]
the eigenvalue equation finding the fixed points of the mathematical community, that is the mathematics itself, represented by the mathematical community.
We have yet to bring cybernetics into the picture. It is cybernetics which optimizes the choice of fixed point. In the case of quantum mechanics, it is very simple (in principle) all we have to do is set up the eigenvalue equation and solve it. In some cases (marked by their high frequency) this solution is simple but in more difficult cases (like a theological paradigm change) [it] can take a few thousand years.
The cybernetic optimization process is where natural selection happens, and the optimum fixed points (algorithms) selected.
The moment one is born one is placed in a problematic situation and the game is to solve the problems fast enough to stay alive, grow and reproduce.
People are restricted by their religions. The layer n+1 depends for its existence on the services rendered by layer n so it is in n+1's interest to maintain n which it can do because it has greater variety than n
Is this better than sex? It is getting that way as my libido dies, I am working my way out of the construction industry and the dream of mathematica theology continue to take shape.
A Short Life: my life story fictionalized to convey
[page 50]
my message.
Johnson Scientific American 7/1979 page 100; '. . . all the fundamental constituents of matter, quarks as well as leptons, seem to act like dimensionless points. Algorithms in time alone, but the algorithm for the point must be stored in a space. Johnson
The basic source of fixed points is the extremalization of action. Yourgrau & Mandelstam
Tuesday 25 December 2012
One can guess that the half life of a religion lies in the range 1000 to 10 000 years. Although we are proposing a radical change in the foundations of theology, it may take a long time for the effects of this change to be felt at the practical level because, like every scientific discovery, it makes no difference to the observations, only to our interpretation of the observations and an animistic interpretation of the living world is already quite common.
The strategy is now clear, to publish Unreasonable . . . (page 43) as a paper in mathematical physics, and then use that paper as a foundation for a mathematical theology.
The fixed points of the Universe are isomorphic to the fixed points of the mathematical community, part of the Universe whose fixed points are mathematics itself.
[page 51]
Puzo Godfather Papers page 19: 'I had that most valuable of human gifts, retrospective falsification: remembering the good and not the bad.'Puzo page 29: 'It was really time to grow up and sell out, as Lenny Bruce once advised.' Puzo
Theology, love, culture, religion . . .
Hofstadter page 7: Bach: Fugue 'To improvise an eight part fugue is really beyond human capability.' A set of eight eigenfunctions (?). Hofstadter
We claim that the collapse of the wave function and an act of insight are isomorphic acts of creation, up to a complexity factor.
Mathematics. Scale invariant / arithmetic / transfinite numbers.
Physics works between the natural and the real numbers which provide completeness. We can work our way up the transfinite tree with successive natural and reals, aleph(n) and aleph(n+1).
The Universe is consistent and creative because real uncertainty makes real creativity possible, finding solutions that have not been found before.
Hofstadter page 17: 'All consistent axiomatic formulations of number theory include undecidable propositions.' Gödel 1931, Proposition VI. Gödel
page 19: '. . . provability is a weaker notion than truth, no[page 52]
matter what axiomatic system is involved.'
Hofstadter page 26: 'How . . . can intelligent behaviour be programmed? Isn't this the most blatant of contradictions in terms? One of the major theses of this book ius that it is not a contradiction at all.'
Isomorphism = information preserving transformation.
Complexification, liberation, Escher, Hofstadter page 56.
Page 60: 'A proof can be broken down into a series of tiny discontinuous jumps which seem to flow smoothly when viewed from a higher vantage point.'
From a practical point of view the Christian methodology seems very close to Stalin's methodology, to destroy all natural cultural ties and bond the individual, deprived of all support, directly to the state, which showed no sign of the Marxist prediction that it would wither away. In my case, with the failure of the Christian indoctrination as its inconsistencies became clear to me, I was left alone for a long time floating without guidance dealing with life by a mixture of humour and not taking things too seriously, interspersed with occasional black moments. Such moments have often marked a significant step forward in my quest to rebuild theology by revealing the true God that is the source of all our experience, love and knowledge. Now that I have this firm foundation, which currently seems very difficult to doubt, life seems to be getting a bit of traction at last and I can
[page 53]
begin to stop drifting and start to steer. The task now seems clear and feasible.
Mathematics is empirical in the sense that it is all represented by visible symbols on paper (or a monitor, etc) and provided writer and reader have the same ideas abouyt the meaning and syntax of these symbols, a mathematically encoded form can be shared, as Plato and his contemporaries long ago suspected.
We interpret written mathematics as a representation of fixed points within the mathematical community insofar as mathematics is archived and communicated through space and time by the literature. As a representation it is identical to the particles that we observe when we study the physical Universe and we take the view that the creation of both literature and physics are isomorphic processes differing only in complexity. We map this complexity using the Cantor hierarchy of transfinite Hilbert spaces and we establish the isomorphism using the idea of Cantor symmetry. This seems to take me beyond a hopeful escapist fantasy ti capitalize on the heresy of my youth to the foundations of a concrete and executable piece of software, to the executed in human minds, uploaded to them by education.
Sometimes I catch the flavour of love when I think of you. At these moments my love is unconditional, dependent on no details, but a 'pure act', something like the initial singularity and the classical God, moving in the opposite direction from the procession of the word toward the unity of a twosome, knowledge (unification) rather than 'reality (differentiation).
Having had my development arrested by my monastic
[page 54]
'vocation', I am only now beginning to appreciate the teenage attachment to romance and mating which I so stupidly and misguidedly gave up for the pie in the sky promised by those who practiced supererogation by taking vows of poverty, chastity and obedience, thus converting themselves from human beings to slaves to an evil and exploitative institution [devoted to reproducing its own errors throughout the world].
Kwame Appeah CosmopolitanismAppiah
Glory, Bassham et al, The Hobbit . . . page 61. Bassham
Bassham page 62: Augustine on classical heroes: 'They were passionately devoted to glory; it was for this that they desired to live, for this that they did not hesitate to die. This unbounded passion for glory above all else checked their other appetites. They felt it could be shameful for their country to be enslaved but glorious for her to have dominion and empire and so they set their hearts first on making her free, and then on making her sovereign. City of God. Penguin 1972 page 197. Augustine of Hippo
page 63: 'With the rise of Christianity, the concept of glory shifted from earthly battlefields to imperial power to the idea that God deserves the ultimate glory and fealty.'
Wednesday 26 December 2012
The effect of the Church on me (and on many people) was to discount many of the values in me resulting from billions of years of intelligent evolution as the results of 'original sin' which made me unsatisfactory to merit heaven.
Thursday 27 December 2012
[page 55]
Friday 28 December 2012
A story: a credible sequence of event. A true story: a mapping of events tht have actually occurred.
Saturday 29 December 2012
The elements which we use to perform a computation are scale invariant, so we may use everything from electron spins to human individuals and beyond to construct processes (eg computers) bureaucracies, given certain communication protocols.
O'Murchu. I love reading books that make me disagree fiercely. On the other hand, there but for the grace og God go I, and in a way the most important feature of the book is the title [Quantum Theology], and the fact that it barely delivers is not so important. Fifteen years later I think I have a still better story, but it is taking a long time to get it into words.
The core of the Catholic error is that it worships a false God.
Scientific epistemology is the source of the control of scientific texts, which are aimed to follow reality as closely as possible. We get a good start from the fact that the fixed points of mind and matter have a lot in common, particularly consistency arising because they are part of a locally deterministic (logical) dynamic process.
