Notes
[Notebook: TURKEY DB 55]
[Sunday 22 June 2003 - Saturday 28 June 2003]
[page 325]
Sunday 22 June 2003
As a physical entity, a spoken sentence is a certain superposition of an alphabet of pure tones, the basis of the superposition. A superposition is an implementation of Fourier's idea that almost every function can by constructed from elements of some countable (?) basis. The idea can be generalized, via the transfinite network, to all levels of complexity of structure. Quantum mechanics is in effect transfinite dimensional music. An item of music (a 'song') is a certain superposition of frequencies in the range 1 to ℵ0.
[page 326]
So we want to say that in a 1D space (a 'line') . . . lost it . . . all forms of differentiation, (ie naming of points) can be done by using each energy (frequency, E = h nu) as a name subject only to conservation of energy in the superposition of this alphabet. Cumbersome. Time is the fundamental dimension and can be parametrized by frequency, where aleph()) is the highest frequency and 1 = the lifetime of the Universe (ie ℵ0 seconds).
The whole job seems down to revealing the deeper structure of quantum mechanics using the transfinite network to go from a countable number of isolated systems to the Universe as it is. This is all very intuitive, but if it is consistent, someone should ultimately be able to express the idea using elements of mathematics.
One of the most common tasks in life is to realize intuitive feelings of how things should be. This is the soul of all art, whether it be painting a masterpiece or fabricating a computer chip.
So we identify the basis of the Universe (1-D 'spacetime)( with the natural numbers represented by frequencies and durations.
The big question is how to we educate our young. The answer seems simple. There should be no educational institutions but the young should have unrestricted access to all areas of society so that they can learn in the natural way, by experience.
No so much 'access' as 'involve'
Communication theory suggests that frequencies concentrate at certain isolated points in order to avoid confusion, which militates against control (and so survival)
Orthogonality: The natural numbers, interpreted as dimensions (processes) are all orthogonal to one another. Things are as complex as as the cardinal of the set of orthogonal axes of bases. ORTHOGONAL = RELATIVELY POWERLESS.
[page 327]
We bring the whole moral and ethical thing down to the use (and abuse) of power. This is where quality control comes in to effectively distinguish between acceptable and rejectable. This is the basic decision to be made about every action at every scale.
So music operates in different frequency bands. a) the frequencies that construct the notes (alphabet) and [b)] the frequency of repetition of the elements of the alphabet. This duality (we might suggest) is adequate to give an approximate model of music (and all other structure).
So we ask how is the most general structure of the Universe written, and we assume in the frequency spectrum of the universal harmonic oscillator, our transfinite oscillator.
The transfinite oscillator oscillates in the domain complexity/frequency. COMPLEXITY = 1/FREQUENCY = DURATION (MASS?). ENERGY = FREQUENCY ie COMPLEXITY = DURATION x FREQUENCY = 1. What happens when we normalize a certain complexity to 1? Less complex becomes 0, and more complex becomes ℵ0. So we define the gap between 0 and 1 to be the same as the gap between 1 and ℵ0. Log ℵ0 ℵ0 = 1. This gap is equivalent to the logical not, ie is isomorphic to two distinct symbols, x and not-x.
ie we can say that at our level of abstraction 0 --> 1 == 1 --> ℵ0.
Another book title: The Ethics of power. Write three stream version like MTW,
Do we need nature? Yes. But . . . exactly what is nature and why do we need it.
SPENDING vs SAVING; WEALTH vs ENVIRONMENT.
[page 328]
The exquisite adaptation between natural entities and their environment puts most modern technological products and services to shame. Although we can make electronic equipment that exploits and mimics natural powers very little of it is standardized or recyclable. Based on 92 elements and mechanisms constructed from these 92 elements to manipulate themselves into organisms like ourselves, each of which is constructed of about 6 x 1028 atoms arranges in hierarchical structures from molecules through cells to organs and tissues to the whole.
Nature has no inconsistency/hypocrisy, it is WILD and as we hope to show peace is a mixture of wilderness and organization.
CRIME - cheap gains by circumventing the rules. In nature there are no rules, no crime and instant punishment: what is inconsistent does not last, cf Chernobyl.
Pew Initiative on Food and Technology.
Although one may spend time second guessing one's allocation of energy to different tasks, the past string of operations cannot be changed and is best studied as a guide to future decisions [rather] than as a source of recrimination. The notion of crime and punishment is meant (perhaps) to guide people's steps in the paths of righteousness but is it productive? Should one perhaps alter the landscape so that crime is relatively inaccessible. [remove the potential barrier around drugs, for example]
We add the spiritual to the atom, by introducing meaning (ie mapping)
Understanding narrows the areas of search, increasing the probability of a find per unit effort.
Life is animated water: Vladimir Vernadsky
We take as our first slogan NATURE IS FUNDAMENTAL. Fundamentalism has gotten a bad name in the last few decades, but there is nothing really wrong with it, provided the fundamentals are correct. Nowhere is this demonstrated
[page 329]
[better] than in the extraordinary power of mathematics and fundamental physics.
Step 1: From the Cantor Universe to the theory of probability,
. . .
COMMUNICATION == FORCE (almost everywhere?)
Force free communication (on an equipotential = peer(?) surface.
PEER SURFACE a surface in which is embodied the peer layer of a network, ie a set of peers. These peers must communicate with one another via a route that cuts through all less complex peer layers to the 'physical' level. Not all of physics takes place at this 'physical' level. Many processes that we classify as physical involve peers that are more complex than the absolute physical layer (or point?) which we envisage here. The atom is a complex entity involving many sub (less complex) processes than the process of the atom, ie atom to atom communication at the (say) 'chemical' level.
We imagine a paradigmatic set of levels,: physical, chemical, biological, planetary, galactic, universal etc. These levels are an alphabet to build an intuitive version of the transfinite network.
This looks as though there is a force for each layer, but are the four forces arranged in a layer like manner, and if they are, what order do they come
[page 330]
in and what is the real 'physical' layer? The notion of logical confinement and the observation that we do not observe physical contradictions (like superposition, in which a state is represented by an infinity of different (incompatible) statements (vectors, ordered sets), subject only to a normalization condition that places all states on the surface of a unit sphere of as suitable Hilbert space.
Much of the game of life seems to require us to be secretive about our mental and physical position, wealth, knowledge, etc etc, So advantage in competition is gained when A has better knowledge of B than B has of A.
Bush. Lying about his case against Saddam, is in effect an admission that he has so little faith in his own case that he is not prepared to make the real evidence public. The same goes for natural religion. We must learn to understand and express it to the point that its advantages (if any) will become gradually more manifest and more people will be drawn into its orbit, a process of accretion. In Vance Packard's sense, this is people shaping. The whole education and advertising system is devoted to this, to shaping people which means shaping their behaviour; buy this; believe that. Such people shaping is communication with (unnecessary) force, in that it is trying to impose a particular protocol. The force is gravitation, by which the Universe holds itself together and remains fundamentally one. So is gravitation really physics, and does everything participate in the gravity network? Yes. But here we meet trouble in the form of quantum field theory, which finds gravitation difficult to digest. Is it perhaps then 'sui generis' something unique and simple to which we need to add more features (quantum mechanics) ,before we can even get spacetime? Does the transfinite network help at all in conversations about this sort of problem?
LOGICAL CONFINEMENT ==> MATHEMATICS = QUANTUM MECHANICS
ie quantum information leads to the view that mathematics and quantum mechanics can be placed into correspondence with one another.
[page 331]
We like the sound of sentences like 'the Universe is mathematics incarnate', but what does it mean, and if we can understand what it does mean, does the picture so revealed fit the world of experience, mathematics includes?
In theory all the laws of a (political) state are held to hold simultaneously and any violation of any one or more is an offense. Let us define a completely illegal entity as one which violates every one of a consistent set of discrete laws.
Monday 23 June 2003
Tuesday 24 June 2003
Wednesday 25 June 2003
Thursday 26 June 2003
Friday 27 June 2003
Saturday 28 June 2003
When thee is no more value in the pain, it is time to turn it off (influenza and panadol)
The emotion of certainty, the root of martyrdom. Martyrdom is a (probably unnecessary) imposition by a system upon its components in order to prove its overall integrity. cf the consequences of a bee sting for the hive, the stinger and the stingee. So human groups seem to feel justified in demanding the ultimate sacrifice from the members. Sometimes this sacrifice is demanded by the need to maintain imperial power by keeping certain subsets of H sapiens subservient to others, sacrificing their fitness to the dominant group.
POWER = ABILITY TO MANIPULATE SURVIVAL FREQUENCIES
(frequencies of events, no matter how complex, are scalar, one dimensional, the inverse of time.
This diary is effectively infinite, and as such unstructured. On the other hand purpose written pages are structured by their purpose, which acts as a potential well in which energy and momentum levels reveal themselves.
[page 332]
USA the teenage revolutionaries aspiring to a meaningful life.
UK geriatric lovers, falling for the USA.
As soon as we begin to apply the theory to human politics, the possibility of bitchery arises, like my Reaction to the Roman Catholic Church (which I am sure in all its hugeness is completely indifferent to my existence). As a teenage rebel I want to change this, to make them listen to me. This will only happen if they see me as threat, food or mate. [does this trilogy cover the whole space of human relationship? Superposition.]
And this is the fact. As a peer in the human network, I put my own needs first, followed by my local network, since local events have the biggest bearing on the survival and prosperity of any particle.
My time, my life, has an upper bound, my death, and the consciousness of this point acts to constrain my behaviour to certain structures. Certainly to build less and write more, while learning how to make a living out of writing, ie building in different spaces.
Transfinite dynamics: each time I say it a little bit more of its shape becomes manifest, and seeks clear linguistic expression. This proceeds at two levels: in the formal (force free) language of mathematical logic; and in the intuitive and passionate of human imagery where we visualize our goals (eg do the dishes) and implement the means to realize our dreams: fill sink, wash dishes, put away, etc.
We bring infinity down to earth by constructing a finite model that can generate the infinity of interest. Such a procedure is the set of epsilon-delta arguments used to move from conjectures about natural (rational) numbers to conjectures about the real (infinitely dense) numbers.
Wealth reveals the true heart as energy reveals structure. A poor person remains in its ground state, doing and revealing
[page 333]
little. As wealth or energy increases, more states are revealed and so more data is available to constrain the true personality.
Cantor Universe: a space big enough for spirit.
Transfinite dynamics embraces both the material and the spiritual. The material is the physical layer of communication. The spiritual is all the rest.
All written text is countable, and it cannot therefore be in one to one correspondence with the uncountable. Instead we rely on naming, meaning and statistics to refer to spiritual objects without representing them in 1-1 correspondence. The only 1-1 map of the world is the world itself. Beginning from quantum mechanics, we derive a model of meaning based on the theory of probability.
