Notes
[Notebook: DB 57 Language]
[Sunday 8 May 2005 - Saturday 14 May 2005]
[page 132]
Sunday 8 May 2005
Monday 9 May 2005
Funder. Stasiland.Funder
"In the GDR people were required to acknowledge an assortment of fictions as fact. Some of these fictions were fundamental, such as that human nature is a work-in-progress which can be improved upon, and Communism is the way to do it.' page 96
Infinite = not determinate = variable.
A set is called infinite if it can be put into one-to-one correspondence with itself. Wikipedia
[page 133}
Education = mind control/mind construction. The hardness need to maintain order decreases the error rate, increases resolution, and through exponential growth, increases freedom. The definiteness of the ordered set of natural numbers serves as a foundation for the generation of transfinite numbers.,
The heart f mathematics is functions = constructions = transformation. We deal with three classes of function, entropy preserving, entropy increasing and entropy decreasing.
Funder page 100: 'I mean you'd go mad,' she says, 'if you thought about it [surveillance] all the time.'
Page 101: 'I mean you might have your doubts about the west - I sure did - but we also felt that our own country was feeding us lies and that our futures depended on seeing to agree with it all.
'But looking back on it, its the total surveillance that damaged me the worst.' The Catholic God, like the Totalitarian God, sees all.
The internal inconsistency of the GDR arose from its finiteness. Cantor says only an unbounded dynamic system can be consistent.
page 141: 'Its hard to live in society if you cannot subordinate yourself to authority.
Page 149: 'God could see inside you to reckon whether your faith was enough to save you. The Stasi could see inside your life too, only
[page 134]
they had a lot more sons on earth to help.
Tuesday 10 May 2005
Funder page 162: 'To start a new country, with new values and newly minted socialist citizens, it is necessary to start at the beginning, with the children.'
MIND CONTROL - STASI - RELIGION - EDUCATION - ADVERTISING
I manipulate your mind.
Are logical possibilities constrained by physical properties? No. We can make a universal machine with binary strings and binary and unary operators, which are freely available in the physical world. However, there are questions of size and speed. The Planck scale of quantum events gives us the smallest and fastest realizations of formal structures.
Music can be represented as a one dimensional string of bits (CD) but it is also multidimensional, because any piece of music can be mapped to a point n the countable dimension space of discrete frequencies in a Fourier transform.
The measurement of truth is a mapping problem.
Funder page 186: 'Did Jagger, Plant and Daltry know of their dopplegangers in the East?'
[page 135]
Funder page 188: 'It was much worse under Hitler,' he says. 'We would have been whisked off to concentration camp.
Page 189: '"We are here to inform you today that you do not exist any more"' ANNIHILATION = particle physics
page 192: Klaus Renft Combo: 'As If Nothing Had Happened' . Klaus Renft Combo
page 198: Recruiting informers: 'Mostly thought, people just said yes.'
Above all personal survival. Only a few deviate from the survival geodesic.
Page 199: perfect dictator-logic: we investigate you therefore you are an enemy. Mind control = observation and modification.
'"In fact." he says, "as time went on there was more and more work to do because the definition of 'enemy' became wider and wider."'
page 202: 'Schooled in the art of convincing people to do things against their own self interest.'
ORDER and METRIC are rather closely related, as ordinal and cardinal numbers. We calculate the cardinal number of an ordered set (and so measure it) by addition or integration. When we consider the set of natural numbers as an ordered set, the actual 'size' of the numbers is irrelevant. We ma think of an ordered set an an array of same sized objects which are nevertheless distinguished by a name (somehow represented by the object itself) which determines its position in the order - a numeral.
[page 136]
All numerals have the same size in an ordinal number.
The metric calculated by integration suppresses much detail.
Now we might ask the question: is the number of states in the Universe equivalent to (equinumerous with) the number of nodes (transfinite numbers) in the transfinite network.
Since the world (Universe) can have no external constraints (since there is nothing outside to constrain it) it can have only internal constraints. These all fall into the category of inconsistency, since our article of faith is that we do not expect actually inconsistent observations. Instead we often find uncertainties, such as unobservable superpositions of inconsistent states.
Its a hopeless task, but a fascinating one. How do we describe fascination in network terms. A tantalizing problem - low probability of solution, but a correspondingly large payoff if we can make it happen. Human technology is directed toward changing the probabilities of events in a way perceived to favour ourselves. Because of normalization, if one probability goes up, another must go down, and if we are reducing the probabilities of the environmental services upon which we depend, we decrease the probability of our own survival.
[page 137]
A religion network question: How much should nodes internalize their problems, that is, not transmit requests for help, perhaps because they will be ignored. The resilience of the network is increased, (we suppose) by more requests for help and corresponding responses (in other words, an economy). Religion creates economy by creating a circuit of value so that the provider of a service to one requesting it is paid in some currency.
Weinberg page xxi: '. . . quantum field theory is the way it is because it is the only way to reconcile the principles of quantum mechanics (including the cluster decomposition property) with those of special relativity. Weinberg
Now that we see religion as a global public health problem
Wednesday 11 May 2005
Thursday 12 May 2005
Old cars, noisy hardware, lots of error correction - most recent new head, new ball joints, etc etc.
We can easily draw a physical network in two dimensions, a set of nodes (terminals) joined by physical links like copper wire of streams of photons [and phonons] either spreading out through space or guided by an optical fibre [or some other medium] To understand it properly, however, we must look at it in 3D because each node is layered, the layers running from the physical through the various software layers to the user. Corresponding layers in different nodes are called peers, and each peer group interact through certain protocols that encode and decode the messages
[page 138]
between them. A user action burrows down through the layers to the physical layer where is is transmitted to the foundation of another layered tower topped by a user. Tanenbaum This layering we model by the Cantor Universe.
Above the human are corporate layers, systems that use us (often wittingly) to achieve ends beyond the power of independent individuals. Many of these corporate organizations are given to us by history and are very complex, like the workings of the Vatican. But all these structures communicate within and between themselves through the physical layer. As Landauer explained, all information is physical. Landauer What is not physical is the meaning of the information.
The building trade has provided a bridge for me from the old religion to the new. It has enabled me to maintain self esteem through their management of the physical world while I have been lost in a spiritual wilderness. I am now to some extent found in the spiritual wilderness, the region of maximum spiritual entropy (and since one is always in some state or another, information). I still have a long way to go before 'faith' returns, and I am afraid of straight faith: give me critical faith, and not infallible, but most probable.
Hodges page 100: Turing: 'This meant that he has a way of representing a number, like pi, an infinite decimal, by a finite table. . . . Such numbers he called computable numbers. Hodges
But underneath there lay the same powerful idea that Gödel had used, that there was no essential distinction between numbers and operations on numbers. From a modern
[page 139]
mathematical point of view they were all alike symbols.
A physical embodiment of information we call a particles or symbol. As a Turing machine writes and erases symbols, so quantum fields create and annihilate particles.
Friday 13 May 2005
The transfinite network is a potential model of god: first foreshadowed by Aquinas Doctrine of the Trinity. Aquinas 160 Given the model, we can now turn to its application and verification. Many of these points are already made in A Theory of Peace, but the most crucial one from my point of view is its application to quantum field theory : here we see particles as observable messages created (sent) and annihilated (received) by fields, ie operators, protocols or programs (software) [particle = hardware].
My mind seems a dull implement confronted by these challenges but I take heart from the days of stone axes when it was shown that sufficient persistence could cut down tall trees and sculpt huge statues with implements scarcely harder than the statue itself.
Weinberg page xxi: '[Particles . . . are introduced . . . as ingredients in the representation of the inhomogeneous Lorentz group in the Hilbert space of quantum mechanics. Weinberg
The creation and annihilation of particles is 'made possible' by Einstein's discovery that special relativity implies the equivalence of mass and energy. What has the network model got to say
[page 140]
about this? A most interesting question that I have been skirting around for decades. It seems clear enough that energy has got to do with some sort of information processing and transmission. All sorts of quantum formulae feature the component eihE.
Secondly physics is in 4-space (and what does the network have to say about this - just sufficient to allow complete state connectivity of all points within it, ie it is CONVEX). (2-D wires cannot cross, 1-D only two nodes. 3-D can get uncrossed wires from any a(x1, y1, z1) to b (x2, y2, z2), 4-D overkill - too expensive to use wiring, use peer to peer in software instead).
The important feature is the dichotomy (experienced) and union (mathematical) of space and time, so that energy and momentum mean much the same thing: what they are is a measure of definition, ie information or entropy density.
So energy has mass, moving energy has momentum. For the photon, which has no rest mass, (and with c = 1) E = p (energy and momentum are identical) For massive particles, we have the relationship E 2 = m 4 + p 2.
Galileo realized 'Newton's first law' that the momentum of a body is only changed by force, that is momentum is changed by communication, and the rate of communication is energy. When we push on a body traveling near c, we cannot make it go much faster, but we can increase its momentum by increasing its mass or inertia.
[page 141]
h and ds 2 are relativistic invariants. h is the minimum action, and so also in a sense a minimum distance since it is the minimum change between one state and another.
Finally we apply the transfinite network model to the writing of this paper. The paper is a particle, a message, something in the physical layer that may be transmitted and copied to my peers.
