vol VII: Notes
2015
Notes
[Sunday 25 October 2015 - Saturday31 October 2015]
[Notebook: DB 79: Galileo Wins]
[page 114]
Sunday 25 October 2015
I am still underground, working away at my product with a relatively clear course to the completion of my website. Coming to the surface enough to feel a bit romantic, nevertheless.
I take my mental process as a paradigm (isopmorphism) of the functioning of the world, Perhaps I owe this to Lonergan who translated Aristotle and Thomas's physical metaphysics into psychological metaphysics which explores the intelligence of the Universe by analogy with human intelligence. I doubt whether Lonergan would be comportable with this interpretation of his idea since he seemed to be firmly in the Catholic camp that holds that we are a special hybrid spiritual/material entity unlike anything in the world and that each of us has to be specially created by God. This is true, of course in the divine universe paradigm where everything is created by a process of insight, in physics the creation and annihilation of particles.
Creation requires annihilation if creation requires a limited resource, ie action, energy, processing power [frequency × word length].
Science has gained its autonomy by making itself orthogonal to politics, power and money. At least to some extent.
[page 119]
Auyang, page 26 Einstein: 'Why were seven years required for the construction of the general theory of relativity? The main reason lies in the fact that it is not easy to free oneself from the idea that coordinates must have an immediate metrical meaning.' Auyang
page 27: 'The Gaussian coordinates individuate but neither relate nor measure'. A correspondence between points and ordered sets of numbers (vectors?).
page 30: 'Physical theories parametrized by space-time variables are considered more basic than those that are not. Thus mechanics is more basic than thermodynamics'. Perhaps the idea is reversed in the network model because entropy and information are primary?
page 33: 'The concept of symmetry contains a concept for difference, another for identity and a third for relating the two.
page 35: 'linear momentum is the generator of translations. The invariance of a system under transformations implies the conservation of the associated generator [the generator is the immobile / symmetrical / invariant algorithm that executes the actual dynamics].
page 39: '. . . in general relativity the orientations of the inertial frames are free to vary from point to point, and the differences in orientations carry information about the gravitation field.'
page 39: Einstein: 'These points of intersection naturally are present during all transformations (and no new ones occur) if only certain uniqueness conditions are observed. It is therefore most natural to demand of the laws that they determine no more than the totality of space-time coincidence.'
A network does this without reference to the geometric distance between nodes? [what is important is addressing, which is local in a network as strings are compared to determine waypoints and destination.]
[page 120]
Auyang page 41: 'As a result of the equivalence principle, the exists at each point in the spatio-temporal manifold a tiny Minkowski space. Unlike the case of special relativity, in which all the tiny spaces are fixed and fused into a global Minkowski space, the tiny Minkowski spaces in general relativity are free to rotate independently of each other.'
page 42: The connection represents the gravitational potential.' the 'force' of communication.
The transfinite computer network is the space of the fixed points of god [a real computer works because it is a sequence of physical fixed points].
page 43: '. . . a new form of matter, the electromagnetic field.'
. . .
page 44: 'gauge invariance' should be 'phase invariance', 'gauge fields' —> 'phase fields' [phases to probabilities, why? 'amplitude' - loudness, pushiness].
page 45: 'According to hte current standard model of elementary particle physics based on quantum field theory, the fundamental ontology of the world is a set of interacting fields.'
page 47: 'The world of fields is full, in contrast to the mechanistic world in which articles are separated by empty space across which forces act instantaneously at a distance.'
page 49: 'Realistic field theories mostly use the manifestly relativistic Lagrangian formulation, where the fields are derived from a Lagrangian via a variational principle.'
How does the world do the calculations of the linear algebra, ie forming the dot product?
[page 121]
Auyang page 53: ' . . . field theorists say particles are epiphenomena and the concept of particles is not central to the description of fields.
page 57: 'the whole point of symmetries is to suppress the undersireable effects of coordinates.'
page 62: 'We examine quantum theories and try to bring out the general conceptual structure by which we acknowledge what they describe as the objective world.'
Communication theory deals with what two communicants are telling each other, which is intuitively linked to the nature and concerns of the communicating agents.
page 65: 'The set of all possible states of a system, called its state space is the most basic postulate of the theory and is the fundamental framework underlying all descriptions of the system [our layered network model constructs its own state space as it complexifies].
page 73: Quantum states irreducibly complex - purely because they are periodic?
page 75: 'The degeneracy in meaning has been a stumbling block in understanding the quantum world view. Quantum properties are not visualizable, but this will no longer prevent them from being physical.'
Monday 26 October 2015
pages 77-78: 'Quantum phases carry information, therefore phase manipulation and determination are important practical problems. . . . we can conclude that quantum amplitudes and complex phases are kickable and empirically determinable with sufficient labour. They are physical.'
page 78: We cannot manipulate a quantum system to obtain a specific eigenvalue in an experiment (?).
[page 122]
Auyang page 83: 'The world exhibits many levels of scale and complexity that require radically different descriptions. (Maybe not, all are networkable) . . . There is no universally unified theory that accounts for all levels of complexity.'
Dope blurs the boundaries of my metaphysical / theological box so that I find new and sometimes productive points of view. From a theoretical point of view of I have the ansatz: only the consistent is observable. In mathematical terms this means only the real numbers (and structures built on real numbers) are observable but we explain the activity behind the scenes in complex numbers and linear algebra in Hilbert spaces of any dimension. The coupling between the complex recursive functions and the real numerical eigenvalues ia the heart of the measurement problem. [real numbers are a fixed point in the complex domain?] The basic navigational algorithm is that if you come to something impossible, you go around [it]. We know the real world quite well and it is discrete, a network of observable events. Some events communicate and are correlated, others are uncorrelated.
CORRELATION = COMMUNICATION (broken symmetry)
If the real is discrete, what about the invisible underpinning? Two properties: recursive, therefore complex analysis fits; and invisible [and deterministic, so computable].
Letter to Nature: Auyang review and development.
A fundamental assumption determinism = computability.
We are trying to make sense of the world by assuming that it is a psychological rather than a physical structure, an idea that first came to me through Bernard Lonergan's Insight Where he replaced physical metaphysics (matter / form to potency / act) with psychological metaphysics, the structure of communication. Lonergan: Insight
[page 123]
Auyang: page 84 'Probability just pops up in the Born postulate, and it is immediately converted to statistics.'
The processor and the process are duals?
The real coordinates (basis states of the universe) are the fixed points in the divine dynamics. We live in the world of real coordinates and use them to navigate through life. A basic set of real coordinates is position in space-time which obeys the axiom that two things cannot be in the same place at the same time without collision (interaction) [boson vs fermion?].
Mating: two shall become one flesh, a boson state.
Boson and fermion exhaust the possibilities at the one bit level, p / not-p.
page 82: 'My philosophical task is to find the categorical framework that is responsible for both the working understanding and the recognition of deficiency in understanding [ie the network].'PROBABILITY - SYMMETRY (continuity, ie large numbers).
Auyang page 200: Magnitude is a basic structural element in our understanding of the world - measure theory [does it apply to conversation?].
page 105: 'The observer has no place in the working understanding of quantum mechanics.' Wrong. An observation is a communication and a communication takes two, operating in a product space of observer and observed [which are duals].
The universal computer network physically encodes its messages as particles when the computation halts [virtual particles are real particles hidden by the invisibility theorem?].
[page124]
The linearity of quantum mechanics means that it only adds and multiplies in two dimensions, the dimensions of a plane, ie the complex plane, every point has a complex number (vector).
Auyang page 118: Kripke: 'There is no mathematical substitute for philosophy.
Tuesday 27 October 2015
A day without commitment, a free day when I am only weakly coupled to my environment, two letters, two phone calls, one visit. At the human level. At lower levels the highly layered conversation between me and the world system continues as usual, breathing, eating, taking up space and so on.
So work on letters to Francis.
Slowly learning to believe that writing is proper work [even if I am no good at it].
Wednesday 28 October 2015
The cover-ups of the crimes against children in the Roman Catholic Church point to a failure of governance equivalent to the sale of indulgences that prompted the Reformation. Protestant Reformation - WikipediaFirst establish a doctrine (green, theological) and then promote it.
If it is to survive as a citizen of the modern world, the church must take a democratic approach to politics and a scientific approach to doctrine.
[page 125]
The pope and the bishops are just tinkering at the edges.
The Church has a minimal secretariat to deal with 1.2 billion members, but facebook can do it
I am in fact launching right into the culture war on the side of my God against theirs, who is not so much a reality as a figment of two thousand years of collective delusion. The fundamental source of productivity is cooperating, and the cooperation works independently of the mythology motivating the cooperation which may or may not completely reflect true reality.
Trying to fit the tool = {tool} to the job. Each tool is a computer or function, a definite transformation, ie tight to loose.
The Bible is a secondary source. The real source is our everyday experience of God.
Thursday 29 October 2015
Such has been the Church's sense of entitlement that it has long claimed the right to deal with the criminals in its midst by its own means, which is fundamentally to keep the crimes a secret, thus adding the crime of denying justice to the victims. As justice comes to be enforced, the Church faces financial ruin unless it can rebuild its brand. Its position is worse than Volkwagen because it is in fundamental error, like a car maker denying thermodynamics. It worships a false god of its own creation.
It took Einstein 7 years to comprehend that coordinates do not have an immediate metrical meaning. The measurabke coordinates are generated by the local application of the metric gμν to
[page 126]
The arbitrary gaussian coordinates applied to the manifold. Relativity is not so much concerned with distance as with velocity, which is an amalgam of space and time. Velocity can be coupled back to processing rate so that in the end we want a metric that couples the logical processing in the network to the measurements engineers make in their laboratories, eg the LHC. CERN - Compact Muon Solenoid
The notion of continuous Lie groups is that we can generate a finite motion by a succession of infinitesimal motions. In reality the actual infinitesimal is measured by Planck's constant, and we build macroscopic motions by combining the actions of many quantum generators. Lie Group - Wikipedia
We can describe events from the 'outside' by using a frame of reference, or from the 'inside' by using the fixed points of the process itself as the reference frame, what we might call the natural reference frame. Macroscopic physics finds it easy to corepate fixed points in the reference system to fixed points in the observed system, but the coupling is not so clear in quantum physics.
The clergy, like the wealthy, live on the backs of the poor and faithful, so insulating themselves from contact with reality, enabling them to continue to exercise their power on the assumptions of their fairytale world.
Comment to Cassidy:The greatest evil in our midst is the exploitation and murder of people by powerful and violent politicians. Mr Abbott is a Catholic, and the Catholic Church is a direct political descendant of imperial Rome. The Pope is by Canon Law the most absolute of absolute monarchs ruling infallibly by divine right. Abbott would like to do the same.
Violence is inherent in this arrangement. Cybernetics tells us that the ruler must be at least as complex as the ruled to succeed. If one person is to rule successfully, the variety of the population must be violently cut down to the variety of one person. This situation is unstable. The only entity complex enough to rule itself is the population as a whole, hence the close relationship between democracy and peace. Barry Cassidy: Tony Abbott's ideology laid bare
Preface: Personal stuff
Introduction: mise en scene
If the world is divine all texts are inspired by god including this one.
[page 127]
Are we Jesus? As a consequence of the divine universe, yes. He and we are equivalently both divine and Homo sapiens.
Looked at dispassionately, my best change of making a bit of money in my old age is by publishing a theological revolution. I think I have reached the point where I see my option on God heavily outweighing the alternative, even hough the outside god has the advantage of many thousands of years of incumbency.
Turing machine simulator: TURSI. Tursi
Auyang page 119: Einsein; '. . . there is no such think as an empty space, ie a space without field. Space-time does not claim existence of its own, but only as a structural quality of the field' ie the domain of fields?
Weinberg: '. . . the central dogma of quantum field theory: the essential reality is a set of fields subject to the rules of special relativity and quantum mechanics; all else is derived as a consequence of the quantum dynamics of the fields.' Quantum dynamics = logical process = computation?
Auyang 121-2: 'A field is a genuine whole comprising genuine individuals, a continuous world with discrete and concrete entities technically called events.' Fixed points, messages, revelations.
page 151: I J R Atchison: ' "Quantum theory teaches us that the 'classical vacuum' state, empty of all matter and free of all fluctuations is not physically realizable." '
Energy = fluctuation = p —> not-p. In a system with more than two states, not not-p is not necessarily p, but might be p', another member of the group p
[page 128]
Auyang page 152: 'Our ancestors found the notion of nothingness incomprehensible. Quantum theory tells us that there is no coherent formulation of nothingness. In our exploration of nature, we seem to arrived at where we started.' The limit of the harmonic paradigm, to be replaced by the logical paradigm. The vacuum is random computation bounded only by consistency. Outside of consistency there is formally nothing.
page 153: 'Semantically, the values of coordinates work as proper names,' Instantiations.
page 158: 'In quantum field theory the unit is generally an interacting field system, which may be the entire fundamental microscopic world. That is how physicists study quantum cosmology.'
page 158: 'A field quantum is a discrete increment in a mode of field excitation and is more often called a particle.
As soon as we introduce space (= 1/time) we have time delay and relativity. This is by definition, so the simplicity of the universe is maintained (its unitarity) by that fact that t × 1/t = 1.
Friday 30 October 2015
Saturday 31 October 2015
Saturday 31 October 2015
Looking at myself for clues. What did the Catholic Church really do to me? Instilled fear, fear of Hell, and to some extent fear of death, even though the church preached eternal life. Monarchs rule by fear, but we can see that in a resilient democracy it no longer works as well as it did. Menzies 'reds under the bed' may have worked but Abbott's 'death cult is coming to get you' got him laughed out of office.
I fear things stronger than me, which has been my motivation for strengthening myself by examining the nature of the world and
[page 129]
myself. I will live as long as I avoid fatal dead ends like losing control at high speed. This has been a minimal requirement for my rejection of my indoctrinated fear. I have a sort of faith that the intellectual structure I am piecing together to argue against the proposition that God is not the World is getting pretty solid, and becoming worth a look for people interested in the future of theology.
DIVINE WORLD ==> SCIENTIFIC THEOLOGY (slogan of the day).
Make business not war is a difficult proposition since business is a form of war and vice versa. These warlike traits ate a product of the relative shortage of resources that acts as a selector in the evolutionary process. The rate of evolution is controlled by the rate of change of the environment since stronger selective pressure may make for smaller populations and faster evolution. Natural selection - Wikipedia, Berg J M, Tymoczko J L & Stryer L: Biology
If we are to eliminate war we have to let business (ie cooperative trading) take over everything, controlled by the need to make all increases in our welfare globally sustainable. The carbon dioxide issue is here a strong selective pressure that is beginning to increase the momentum of sustainable energy, since energy is the root source of our evolution on earth by solar radiation. The sun gives us energy and entropy.
Next Book: Thermodynamics and entropy worship: fixed points carry information proportional to the space in which they exisy. If this space is continuous (like the wave function) the fixed points may carry very little information. The wave function gives us a picture of ??? continuous dynamics. The information is carried in the [space of discrete solutions] (fixed points) of the [differential equation] of the dynamical evolution. In Hilbert space, fixed point has fixed direction (eigenfunction [string of symbols]) but varying length (eigenvalue).
[page 130]
Once we realize that our environment is divine and we are all part of one another's environment we can learn to share everything within a safe envelope and settle down to enjoy life, as is the case in any well run system, like my microcosmic body.
Auyang page 162: 'Permutation invariance is general and not confined to quantum mechanics. It says that specific particle labels have no physical significance.' If particles are all identical bosons?
'unsaying . . . is achieved by symmetry transformations.'
Auyang Chapter 7: Seems to assume a vast number of events exist independently and are then connected. A better way might be to see the communication generating the events and generating more and more complex events as the universe evolves more fixed points [space and fixed points grow in parallel].
One has to start out as a lunatic and hope to eventually reach a safe harbour and become accepted.
