VII Notes
2010
Notes
[Sunday 18 April 2010 - Saturday 24 April 2010]
[Notebook: DB 68: Salalah]
[page 324]
Sunday 18 April 2010
Slowly emerging from the boondocks into publication. Feeling rather like 2987 Theory of peace still valid but now much elaborated by preliminary fitting to the real world.
One believes in the conclusions because one believes in the arguments, which is where the epsilon-delta proofs get their power.
In the real world as we compress epsilon and delta, energy and momentum rise to become infinity in the limit where ε, δ --> 0.
John Lennon: Imagine John Lennon
The old religions are reaching their use by date.
[page 325]
The model of everything must embrace all the complexities of the competitive environment forced upon us by limited resources.
The creation machine is a network of Turing machines: symmetry and selection.
Isaac Newton pioneered the method that still holds in physics. First we assume a space (in Newton's case "God's Sensorium") and then we look for rules or laws that constrain the motions of particles in this space. We wish to extend this idea from physics to human social space and beyond. Our first step in this direction is quantum mechanics, which operates in Hilbert space constrained by various forms of [the energy equation] Schrödinger's equation.
Newton's laws constrain the motions of particles in physical space, like the solar system, close to the limits of observable precision.
Monday 19 April 2010
Wiener: Cybernetics Wiener
Our basic methodology follows the line of development pioneered by Wiener and others known as Cybernetics: or Control and communication in the animal and the machine.
The cats: '. . . the frequency of clonic oscillation is much less sensitive to changes of loading conditions that we had expected, and that it is much more nearly determined by the constants of the closed arc efferent nerve - muscle - kinaesthetic end body - afferent nerve - central synapse - efferent nerve
[page 326]
than by anything else. This circuit is not even approximately a circuit of linear operators of we take as our basis of linearity the number of impulses transmitted by the efferent nerve per second, but seems to become much more nearly so if we replace the number of impulses by its logarithm.' Wiener page 28.
'Again, the notions of facilitation and inhibition are much more nearly multiplicative than additive in nature' page 29.
The nerve impulse releases a chemical potential in the muscle that manifests as ATP --> ADP{ and contraction, ie potential and kinetic energy. The potential has been extracted from the food where it was stored by a plant feeding off the sun.
A plant is a subnetwork of a network.
If we are to believe its equation, quantum mechanics describes a world of perpetual motion.
Thermodynamics puts a strong constraint on perpetual motion: it must take place at constant entropy. We might imagine this as a frictionless wheel rotating forever, or as a mathematically perfect Carnot Engine driving a mathematically perfect Carnot refrigerator so as to maintain two thermal [reservoirs] at a constantly different temperature.
A this point my life is, from a rational point of view, perfect: fed, sheltered, meaningful
[page 327]
work, no disease, etc. Emotionally the usual niggle, I could be working faster and more efficiently. I try to counter this with the reasoned idea that intellectual work, like physical building, takes time and we can't rush things without compromising the quality. I am exploring my ideas as I write and slowly finding an optimal expository sequence which reveals gaps in the argument at the same time as simplifying the picture.
American's and Health Care, financial reform: they seem to have a deathwish opposing rational policy and opting for personal and collective disaster, perhaps trying to hasten Armageddon and the lifting up of the righteous, fate driven, a trait one also detects in Islam. Armageddon - Wikipedia
. . .
Power vs communication engineering Wiener page 50.
In the functioning of the Universe, power and communication are in some way duals.
Tuesday 20 April 2010
We can describe the essentials of quantum mechanics in any Hilbert space of fixed dimension with an orthomormal basis, although this description does not couple to anything observable, but is conjectured because it works when we introduce observation. As soon as we introduce observation we must also introduce the tensor product of Hilbert spaces
[page 328]
and we are already in the region of quantum field theory (ie space-time) and not pure time, since observation requires the simultaneous existence of two distinct entities, something that cannot happen in a world of pure time, but requires space, ie memory.
OBSERVATION <--> QUANTUM FIELD THEORY
Wiener: the cybernetic method in philosophy
Wednesday 21 April 2010
Diagonalization is an act of intelligence
Thursday 22 April 2010
Coming along the creation road, talking about the transfinite address space. Although transfinite arithmetic is bases on subsets and power sets, we can generate transfinite numbers more naturally by using permutations. Due to the properties of transfinite arithmetic, 2aleph(n) = aleph(n) = aleph(n+1).
As long as the base is greater than 1, it is the power that counts, not the base.
e = (1 + 1/n)n as n approaches infinity.
ADDRESS =CONTENT + ADDRESS
For a fixed address length, increased content = less localization, ie coarse mapping generates few addresses.
[page 329]
The basic property of a channel is the number of operations it can perform per time, its speed. Because of linearity, the sum of the speeds of all operations in the Universe is constant, ie energy is conserved.
We are setting about creating a mathematical Universe designed [to fit the one we have].
Instead of stating the network model in quantum mechanics, we can also express quantum mechanics in the network model. Quantum mechanics is a one dimensional linear (additive) field theory whose ingredients are action, energy and time.
The relativistic world includes duality because there are no absolute standards but we can proceed by comparing and ordering things. This is a possible local task [given protocols for comparing and ordering]
Friday 23 April 2010
The transfinite symmetric Universe is a 'Platonic' structure whose principal properties are:
1. great size.
2. a 'fixed' number of elements arising from its permutation group structure, unlike combination, where new elements may be introduced at will as duplicates of elements already present.
2a [3]. every event is unique
3 [4]. Local changes can cause global changes, unless the local change is within a symmetry, like silent mutations in DNA, since the triplet with the substituted base codes for the same amino acid, or different hydrogen atom can play the same role in my physiology.
4 [5]. It is dynamic via the Turing engines and capable of dynamically changing its own dynamics.
[page 330]
Features of a computer network that match quantum mechanics:
1. source normalization
2. definite stationary states eigenvalues == traffic rate; eigenfunctions = alphabet[
3. quantum of action = minimum halting computation
4. so energy = rate of computation
5. random transitions due to interrupts (efficient coding looks like a random string)
6. observation = measurement = question (to Creation)
The sun rises into my eyes. Soon I will be able to move away from my fire (which I have overbuilt - error) into the sunwarmed part of the room,like a lizard.
transfinite: isomorphic to Cantor's transfinite cardinal and ordinal numbers. Symmetric = embodying all possible permutation (= symmetric) groups which in turn represent all possible groups. In Cantor's words, able to be placed in one to one correspondence with anything thinkable. Here we substitute speakable for thinkable, since although we can speculate about what someone else is thinking when they say something, the scientific approach is to take the output of all speakers (sources) at face value and see where that leads us. In some places wer will see a definite meaningful structure in the words (like the spectrum of an atom), in others the output may be random material for speculation. That does not mean that it is meaningless, since the perfect coding give a random string.
[page 331]
Moving from trying to write physics to trying to write philosophy gives me two new degrees of freedom. First, I can characterize the physics generally as it fits my model, leaving it to detailed mathematical analysis to see if my guess works. Second, I can put the whole thing in a wider historical context because philosophy has a wide timeslot in human affairs, stretching from the first writing (that we have) to the present.
Missed something again: What do we mean thinkable? As a working definition I take consistent, able to be kept steadily in mind (unlike logical paradoxes and Escher's impossible houses, which flicker from one picture to another. Hughes Escher) 'The sentence on the other side of this card is false' on both sides of the card. If the card is true it is false and vice-versa and we have perpetual motion (perhaps of the sort predicted by quantum mechanics). The energy of this motion corresponds to the rate at which the card is flipping. So motion is escape from contradiction, and thinkability is logical consistency. Another hypothesis.
On this definition, we equate thinkable with speakable. On the other hand, we can think much faster than we can speak, and we can think many things at once, as a dishwashing child rearing philosopher can tell you. Speaking, particularly writing, has a very low bandwidth - it has taken me months to write 10000 words, about two hours of slow speech. So writer must cull their thoughts to compress them into the written medium. What we like to think, however, is that our carefully crafted speeches make sense to other people, that is they use our common history as the alphabet of a new picture of the world.
All these things are revelation to me, aided by the beauty of the morning after a restless night and a touch of THC (I am encouraged by Anais Nin's revelations in Incest to put a bit of truth into my notebook. Nin
By revelations I mean ordered and relatively stable states of mind which remain conscious at least long enough for me to write them down. They are fixed points on a train of thought, from which I can later reconstruct that train of thought and maybe refine it and combine it with others into a short written synthesis of everything that apears in this notebook.
This is the recursive process of science recorded in the public domain as the scientific literature or text (which includes all forms of data, movies, picture, all the results of measurement (ie output from the world)) including the output of the scientists themselves which must be further refined and synthesized to become inputs to policy etc.
The material bound on bandwidth. A self sufficient Universe can only explained by relation to itself. Hofstadter Hofstadter The bounds of thinkability (a subset of feelability).
Layers are the tracks of recursion. At its foundation the Universe is creating a new layer at every event. 'Planck period' = Planck's constant / energy of the Universe.
Reflection is a function of self love, sorting out one's
[page 333]
history and (if things have been bad) trying to get more pleasure and less pain in the future. There is no need for pain to be a permanent state of life, but it is possible.
Knuth MMIX 'machine independent machine'. Donald E Knuth
Saturday 24 April 2010
Every change in software is associated with a change in hardware and vice versa because all information is encoded physically. Last night's dream.
The government of any system is required to maintain the material basis of the system (ie its memory) if the system is to survive.
Trying to get the transfinite neural network into a usable form. First, Cantor gives us a vast address space. Then we wish to map this address space onto the Universe.But first we must apply the constraint of countable bandwidth of a countable space of Turing machines.
Do we raise the bandwidth to the power of the number of machines or vice versa. Is there any reason to suspect an exponential structure here? cf Hypercomputation website. Hypercomputation Research Network [also A transfinite network]
Dan Brown + Anti Christian Illuminati Angels page 231 Brown
A layer moving a point in itself moves points in all the layuers above and beow.
[page 334]
'Conquering religions . . . often use existing holidays to make conversion less shocking. Its called transmutation. Brown, page 274.
MOVE = REWRITE MEMORY
